cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
title: “Reasonable Accommodations” or Education for All? The Case of Children Living With Disabilities in Cambodia
Creators: name: Mak, Michelle
name: Nordtveit, Bjorn
Publisher: name: University of Massachusetts Amherst
Year: 2011
Subjects: subject: Disability and Equity in Education

description: The authors examine the various challenges and barriers to education for children living with disabilities, primarily those living with deafness and blindness in Cambodia. Poverty and economic instability of families are key hindrances to educational opportunities for these children. Other barriers include lack of government ownership of educational programs for people with disabilities, poor governance and low accountability of the government, lack of funding and finances, limited human capacity and resources, and social discrimination and stigma. This poses the question as to what is reasonable accommodation to ensure that children living with disabilities can access schooling.
Straightening warped cones
Creators: name: Sawicki, Damian
name: Wu, Jianchao
Publisher: name: arXiv
Year: 2017
Subjects: subject: Metric Geometry (math.MG)
subject: Dynamical Systems (math.DS)
subject: Group Theory (math.GR)
subject: FOS: Mathematics
subject: Primary: 46B85, Secondary: 20F69, 37B05, 43A07

description: We provide the converses to two results of J. Roe (Geom. Topol. 2005): first, the warped cone associated to a free action of an a-T-menable group admits a fibred coarse embedding into a Hilbert space, and second, a free action yielding a warped cone with property A must be amenable. We construct examples showing that in both cases the freeness assumption is necessary. The first equivalence is obtained also for other classes of Banach spaces, in particular for $L^p$-spaces.
description: Final authors' version of the article published by JTA. Changes since v2: the proof of Lem. 3.8 (now Prop. 3.10) is split between several lemmata, the proof of Thm 4.2 simplified and more detailed
Knowledge Transfer Between Artificial Intelligence Systems
Creators: name: Tyukin, Ivan Y.
name: Gorban, Alexander N.
name: Sofeikov, Konstantin
name: Romanenko, Ilya
Publisher: name: arXiv
Year: 2017
Subjects: subject: Artificial Intelligence (cs.AI)
subject: FOS: Computer and information sciences
subject: 68T05, 68T30

description: We consider the fundamental question: how a legacy "student" Artificial Intelligent (AI) system could learn from a legacy "teacher" AI system or a human expert without complete re-training and, most importantly, without requiring significant computational resources. Here "learning" is understood as an ability of one system to mimic responses of the other and vice-versa. We call such learning an Artificial Intelligence knowledge transfer. We show that if internal variables of the "student" Artificial Intelligent system have the structure of an $n$-dimensional topological vector space and $n$ is sufficiently high then, with probability close to one, the required knowledge transfer can be implemented by simple cascades of linear functionals. In particular, for $n$ sufficiently large, with probability close to one, the "student" system can successfully and non-iteratively learn $k\ll n$ new examples from the "teacher" (or correct the same number of mistakes) at the cost of two additional inner products. The concept is illustrated with an example of knowledge transfer from a pre-trained convolutional neural network to a simple linear classifier with HOG features.
Deterministic networks for probabilistic computing
Creators: name: Jordan, Jakob
name: Petrovici, Mihai A.
name: Breitwieser, Oliver
name: Schemmel, Johannes
name: Meier, Karlheinz
name: Diesmann, Markus
name: Tetzlaff, Tom
Publisher: name: arXiv
Year: 2017
Subjects: subject: Neurons and Cognition (q-bio.NC)
subject: FOS: Biological sciences

description: Neural-network models of high-level brain functions such as memory recall and reasoning often rely on the presence of stochasticity. The majority of these models assumes that each neuron in the functional network is equipped with its own private source of randomness, often in the form of uncorrelated external noise. However, both in vivo and in silico, the number of noise sources is limited due to space and bandwidth constraints. Hence, neurons in large networks usually need to share noise sources. Here, we show that the resulting shared-noise correlations can significantly impair the performance of stochastic network models. We demonstrate that this problem can be overcome by using deterministic recurrent neural networks as sources of uncorrelated noise, exploiting the decorrelating effect of inhibitory feedback. Consequently, even a single recurrent network of a few hundred neurons can serve as a natural noise source for large ensembles of functional networks, each comprising thousands of units. We successfully apply the proposed framework to a diverse set of binary-unit networks with different dimensionalities and entropies, as well as to a network reproducing handwritten digits with distinct predefined frequencies. Finally, we show that the same design transfers to functional networks of spiking neurons.
description: 22 pages, 11 figures
High-dimensional brain. A tool for encoding and rapid learning of memories by single neurons
Creators: name: Tyukin, Ivan Y.
name: Gorban, Alexander N.
name: Calvo, Carlos
name: Makarova, Julia
name: Makarov, Valeri A.
Publisher: name: arXiv
Year: 2017
Subjects: subject: Neurons and Cognition (q-bio.NC)
subject: FOS: Biological sciences
subject: 92B20, 91E40, 68T05

description: Codifying memories is one of the fundamental problems of modern Neuroscience. The functional mechanisms behind this phenomenon remain largely unknown. Experimental evidence suggests that some of the memory functions are performed by stratified brain structures such as, e.g., the hippocampus. In this particular case, single neurons in the CA1 region receive a highly multidimensional input from the CA3 area, which is a hub for information processing. We thus assess the implication of the abundance of neuronal signalling routes converging onto single cells on the information processing. We show that single neurons can selectively detect and learn arbitrary information items, given that they operate in high dimensions. The argument is based on Stochastic Separation Theorems and the concentration of measure phenomena. We demonstrate that a simple enough functional neuronal model is capable of explaining: i) the extreme selectivity of single neurons to the information content, ii) simultaneous separation of several uncorrelated stimuli or informational items from a large set, and iii) dynamic learning of new items by associating them with already "known" ones. These results constitute a basis for organization of complex memories in ensembles of single neurons. Moreover, they show that no a priori assumptions on the structural organization of neuronal ensembles are necessary for explaining basic concepts of static and dynamic memories.
Supplementary document for Hyperspectral image super-resolution based on transfer of both spectra and multi-level feature - 5887075.pdf
Creators: name: Cao, Xuheng
name: Lian, Yusheng
name: Liu, Zilong
name: Zhou, Han
name: Hu, xiangmei
name: Huang, Beiqing
name: Zhang, Wan
Publisher: name: Optica Publishing Group
Year: 2025
Subjects: Uncategorized

description: The supplemental document of manuscript
The existence of one-point connectifications
Creators: name: Koushesh, M. R.
Publisher: name: arXiv
Year: 2017
Subjects: subject: General Topology (math.GN)
subject: FOS: Mathematics

description: P. Alexandroff proved that a locally compact $T_2$-space has a $T_2$ one-point compactification (obtained by adding a "point at infinity") if and only if it is non-compact. He also asked for characterizations of spaces which have one-point connectifications. Here, we study one-point connectifications, and in analogy with Alexandroff's theorem, we prove that in the realm of $T_i$-spaces ($i=3\frac{1}{2},4,5$) a locally connected space has a one-point connectification if and only if it has no compact component. We extend this theorem to the case $i=6$ by assuming some set-theoretic assumption, and to the case $i=2$ by slightly modifying its statement. We further extended the theorem by proving that a locally connected metrizable (resp. paracompact) space has a metrizable (resp. paracompact) one-point connectification if and only if it has no compact component. Contrary to the case of the one-point compactification, a one-point connectification, if exists, may not be unique. We consider the collection of all one-point connectifications of a locally connected locally compact space in the realm of $T_i$-spaces ($i=3\frac{1}{2},4,5$). We prove that this collection, naturally partially ordered, is a compact conditionally complete lattice whose order-structure determines the topology of all Stone-Cech remainders of components of the space.
description: 28 pages
title: Ð§ÐµÐ»Ð¾Ð²ÐµÐº Ð² ÐºÐ¾Ð½ÑÐµÐºÑÑÐ°Ñ ÐºÑÐ»ÑÑÑÑÑ: ÐºÐ¾Ð½ÑÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ½Ð¾ÑÑÐ¸
title: Ð¼Ð¾Ð½Ð¾Ð³ÑÐ°ÑÐ¸Ñ
titleType: Subtitle
Creators: name: ÐÐ¾Ð»ÐµÑÐ½Ð¸Ðº, ÐÑÐ¸Ð½Ð°
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2023
Subjects: ÐºÑÐ»ÑÑÑÑÐ°
Ð»Ð¸ÑÐ½Ð¾ÑÑÑ
ÑÐµÐ»Ð¾Ð²ÐµÐº
Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ½Ð¾ÑÑÑ

description: ÐÐºÑÑÐ°Ð»ÑÐ½Ð¾ÑÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐµÑÑÑ Ð½ÐµÐ¿ÑÐµÐºÑÐ°ÑÐ°ÑÑÐ¸Ð¼ÑÑ Ð¸Ð½ÑÐµÑÐµÑÐ¾Ð¼ Ðº Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼Ðµ ÐºÐ¾Ð½ÑÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð´ÐµÐ½ÑÐ¸ÑÐ½Ð¾ÑÑÐ¸ ÑÐµÐ»Ð¾Ð²ÐµÐºÐ° Ð² Ð¼ÐµÐ½ÑÑÑÐ¸ÑÑÑ ÐºÑÐ»ÑÑÑÑÐ½ÑÑ ÐºÐ¾Ð½ÑÐµÐºÑÑÐ°Ñ, Ð¾Ð±ÑÑÐ»Ð¾Ð²Ð»ÐµÐ½Ð½ÑÑ ÑÐ°ÐºÐ¸Ð¼Ð¸ ÑÐ¸Ð¼Ð¿ÑÐ¾Ð¼Ð°Ð¼Ð¸ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð¹ ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÐ¸, ÐºÐ°Ðº ÑÐ°Ð·Ð½Ð¾Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð½Ð¾ÑÑÑ ÐºÑÐ»ÑÑÑÑÐ¾Ð¾Ð±ÑÐ°Ð·ÑÑÑÐ¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð², Ð¾ÑÑÑÑÑÑÐ²Ð¸Ðµ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÑ Ð¸Ð´ÐµÐ¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ Ð¿Ð°ÑÐ°Ð´Ð¸Ð³Ð¼. ÐÐ¾Ð½ÑÐµÐ¿ÑÑÐ°Ð»ÑÐ½Ð¾Ðµ Ð¾ÑÐ¼ÑÑÐ»ÐµÐ½Ð¸Ðµ ÑÐ°Ð¼Ð¾Ð³Ð¾ ÑÐµÐ½Ð¾Ð¼ÐµÐ½Ð° ÑÐµÐ»Ð¾Ð²ÐµÐºÐ° Ð¿ÑÐµÑÐµÑÐ¿ÐµÐ²Ð°ÐµÑ ÑÑÑÐ½Ð¾ÑÑÐ½ÑÐµ ÐºÐ¾ÑÑÐµÐºÑÐ¸Ð¸. ÐÑÐ¾Ð¸ÑÑÐ¾Ð´Ð¸Ñ Ð¿ÐµÑÐµÐ¾ÑÐ¸ÐµÐ½ÑÐ°ÑÐ¸Ñ ÑÑÐ°ÑÑÑÐ° ÐºÐ¾Ð½ÑÐµÐ¿ÑÐ° ÑÑÐ±ÑÐµÐºÑÐ°, Ð² ÑÐ°Ð¼ÐºÐ°Ñ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð´Ð¸Ð»Ð¾ Ð¾ÑÐ¼ÑÑÐ»ÐµÐ½Ð¸Ðµ ÑÑÐ¾Ð³Ð¾ ÑÐµÐ½Ð¾Ð¼ÐµÐ½Ð° Ð² ÐµÐ²ÑÐ¾Ð¿ÐµÐ¹ÑÐºÐ¾Ð¹ ÑÑÐ°Ð´Ð¸ÑÐ¸Ð¸. Ð XIXâXX Ð²Ð². ÑÑÐ±ÑÐµÐºÑ, ÑÐµÐ»Ð¾ÑÑÐ½Ð¾ÑÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð² ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¼ Ð¼ÑÑÐ»ÐµÐ½Ð¸Ð¸ ÑÐ´ÐµÑÐ¶Ð¸Ð²Ð°Ð»Ð°ÑÑ ÑÐ¾Ð·Ð½Ð°Ð½Ð¸ÐµÐ¼, Ð¿Ð¾Ð´Ð²ÐµÑÐ³ÑÑ Ð´ÐµÑÑÑÑÐºÑÐ¸Ð¸. Ð ÑÐµÑÐµÐ½Ð¸Ðµ Ð¥Ð¥ Ð². Ð² ÑÐ¸Ð»Ð¾ÑÐ¾ÑÑÐºÐ¾Ð¼ Ð´Ð¸ÑÐºÑÑÑÐµ Ð²Ð¾Ð¾Ð±ÑÐµ, Ð² ÑÐ¸Ð»Ð¾ÑÐ¾ÑÑÐºÐ¾Ð¹ Ð°Ð½ÑÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸Ð¸ Ð¸ Ð² ÑÐ¸Ð»Ð¾ÑÐ¾ÑÐ¸Ð¸ ÐºÑÐ»ÑÑÑÑÑ Ð² ÑÐ°ÑÑÐ½Ð¾ÑÑÐ¸ Ð½Ðµ Ð¿ÑÐµÐºÑÐ°ÑÐ°Ð»ÑÑ Â«Ð¿Ð¾Ð¸ÑÐºÂ» ÑÐµÐ»Ð¾Ð²ÐµÐºÐ°, Ð¾Ð´Ð½Ð¸Ð¼ Ð¸Ð· ÑÐ²Ð¸Ð´ÐµÑÐµÐ»ÑÑÑÐ² ÑÐµÐ³Ð¾ ÑÐ²Ð»ÑÐµÑÑÑ Ð°Ð½ÑÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ð¹ Ð¿Ð¾Ð²Ð¾ÑÐ¾Ñ Ð² Ð³ÑÐ¼Ð°Ð½Ð¸ÑÐ°ÑÐ½Ð¾Ð¼ Ð·Ð½Ð°Ð½Ð¸Ð¸. Ð ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð¹ ÐºÑÐ»ÑÑÑÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐ°ÑÐ¸Ð¸ Ð¿ÑÐ¾Ð¸Ð·Ð¾ÑÐ»Ð¾ ÑÐ¼ÐµÑÐµÐ½Ð¸Ðµ ÑÑÑÐµÑÑÐ²Ð¾Ð²Ð°Ð²ÑÐ¸Ñ ÑÐ°Ð½ÐµÐµ ÑÑÑÑÐºÑÑÑÐ½ÑÑ Ð¸ ÐºÐ¾Ð½ÑÑÐ¸ÑÑÑÐ¸Ð²Ð½ÑÑ Ð¾ÑÐ¸ÐµÐ½ÑÐ¸ÑÐ¾Ð², Ð² ÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ðµ ÑÐµÐ½Ð¾Ð¼ÐµÐ½Ð° ÑÐµÐ»Ð¾Ð²ÐµÐºÐ°, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð¾ÑÐ½ÑÐ½Ðµ Ð·Ð°Ð½Ð¸Ð¼Ð°ÐµÑ ÑÐµÐ½ÑÑÐ°Ð»ÑÐ½Ð¾Ðµ Ð¼ÐµÑÑÐ¾ Ð»Ð¸ÑÑ Ð½Ð¾Ð¼Ð¸Ð½Ð°Ð»ÑÐ½Ð¾. ÐÐ¾ÑÑÐ¾Ð¼Ñ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÐµÑÑÑ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼ÑÐ¼ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÑÑ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼Ñ ÐºÐ¾Ð½ÑÑÐ¸ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Â«ÑÐµÐ»Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÑÐ±ÑÐµÐºÑÐ°Â» ÑÐºÐ²Ð¾Ð·Ñ Ð¿ÑÐ¸Ð·Ð¼Ñ Ð³ÑÐ¼Ð°Ð½Ð¸ÑÑÐ¸ÑÐµÑÐºÐ¸ Ð¾ÑÐ¸ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ ÐºÐ¾Ð½ÑÐµÐ¿ÑÐ¸Ð¹ ÑÐ¸Ð»Ð¾ÑÐ¾ÑÐ¸Ð¸ ÐºÑÐ»ÑÑÑÑÑ.
Model reduction in chemical dynamics: slow invariant manifolds, singular perturbations, thermodynamic estimates, and analysis of reaction graph
Creators: name: Gorban, A. N.
Publisher: name: arXiv
Year: 2018
Subjects: subject: Chemical Physics (physics.chem-ph)
subject: FOS: Physical sciences

description: The paper has two goals: It presents basic ideas, notions, and methods for reduction of reaction kinetics models: quasi-steady-state, quasi-equilibrium, slow invariant manifolds, and limiting steps. It describes briefly the current state of the art and some latest achievements in the broad area of model reduction in chemical and biochemical kinetics, including new results in methods of invariant manifolds, computation singular perturbation, bottleneck methods, asymptotology, tropical equilibration, and reaction mechanism skeletonisation.
description: Review submitted to Current Opinion in Chemical Engineering
Market Impact: A Systematic Study of Limit Orders
Creators: name: Said, Emilio
name: Ayed, Ahmed Bel Hadj
name: Husson, Alexandre
name: Abergel, Frédéric
Publisher: name: arXiv
Year: 2018
Subjects: subject: Trading and Market Microstructure (q-fin.TR)
subject: Statistical Finance (q-fin.ST)
subject: FOS: Economics and business

description: This paper is devoted to the important yet little explored subject of the market impact of limit orders. Our analysis is based on a proprietary database of metaorders - large orders that are split into smaller pieces before being sent to the market. We first address the case of aggressive limit orders and then, that of passive limit orders. In both cases, we provide empirical evidence of a power law behaviour for the temporary market impact. The relaxation of the price following the end of the metaorder is also studied, and the long-term impact is shown to stabilize at a level of approximately two-thirds of the maximum impact. Finally, a fair pricing condition during the life cycle of the metaorders is empirically validated.
A Bernstein type theorem for minimal hypersurfaces via Gauss maps
Creators: name: Ding, Qi
Publisher: name: arXiv
Year: 2018
Subjects: subject: Differential Geometry (math.DG)
subject: FOS: Mathematics

description: Let $M$ be an $n$-dimensional smooth oriented complete embedded minimal hypersurface in $\mathbb{R}^{n+1}$ with Euclidean volume growth. We show that if the image under the Gauss map of $M$ avoids some neighborhood of a half-equator, then $M$ must be an affine hyperplane.
description: 14 pages
ISAJON SULTON IJODIYONTINING O'RGANILISHIDA TODD HIKOYASINING AHAMIYATI
Creators: name: Maxsutbaeva, Nigora
Publisher: name: Zenodo
Year: 2024

description: Ushbu maqolada Isajon Sulton asarlarini o'rganishda hikoyalarning ahamiyati xususida fikr va mulohazalar yuritilgan. Shu bilan birga maqolada asosan Isajon Sultonning Todd hikoyasini o'rganishda oʻquvchi yoshlar texnologiyalar bilan birgalikda xarakterli xususiyatlarini kasb etadi. Yanada hikoyani o'rganish maqsadida oʻtgan davr kishilarning kundalik turmush hayoti ularga nisbatan berilgan laqab va unvonlar o'rganish talab etiladi. Asarda qishloq hayoti, ota-o'g'il munosabatlari urushidan va turli malomatlardan uzoq bo'lish, oʻzini-o'zi band qilishgan bu masalalar inobatga olingan.
Robust And Scalable Learning Of Complex Dataset Topologies Via Elpigraph
Creators: name: Albergante, Luca
name: Mirkes, Evgeny M.
name: Chen, Huidong
name: Martin, Alexis
name: Faure, Louis
name: Barillot, Emmanuel
name: Pinello, Luca
name: Gorban, Alexander N.
name: Zinovyev, Andrei
Publisher: name: arXiv
Year: 2018
Subjects: subject: Machine Learning (cs.LG)
subject: Quantitative Methods (q-bio.QM)
subject: Machine Learning (stat.ML)
subject: FOS: Computer and information sciences
subject: FOS: Biological sciences

description: Large datasets represented by multidimensional data point clouds often possess non-trivial distributions with branching trajectories and excluded regions, with the recent single-cell transcriptomic studies of developing embryo being notable examples. Reducing the complexity and producing compact and interpretable representations of such data remains a challenging task. Most of the existing computational methods are based on exploring the local data point neighbourhood relations, a step that can perform poorly in the case of multidimensional and noisy data. Here we present ElPiGraph, a scalable and robust method for approximation of datasets with complex structures which does not require computing the complete data distance matrix or the data point neighbourhood graph. This method is able to withstand high levels of noise and is capable of approximating complex topologies via principal graph ensembles that can be combined into a consensus principal graph. ElPiGraph deals efficiently with large and complex datasets in various fields from biology, where it can be used to infer gene dynamics from single-cell RNA-Seq, to astronomy, where it can be used to explore complex structures in the distribution of galaxies.
description: 32 pages, 14 figures
Embedded error estimation and adaptive step-size control for optimal explicit strong stability preserving Runge--Kutta methods
Creators: name: Conde, Sidafa
name: Fekete, Imre
name: Shadid, John N.
Publisher: name: arXiv
Year: 2018
Subjects: subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics

description: We construct a family of embedded pairs for optimal strong stability preserving explicit Runge-Kutta methods of order $2 \leq p \leq 4$ to be used to obtain numerical solution of spatially discretized hyperbolic PDEs. In this construction, the goals include non-defective methods, large region of absolute stability, and optimal error measurement as defined in [5,19]. The new family of embedded pairs offer the ability for strong stability preserving (SSP) methods to adapt by varying the step-size based on the local error estimation while maintaining their inherent nonlinear stability properties. Through several numerical experiments, we assess the overall effectiveness in terms of precision versus work while also taking into consideration accuracy and stability.
description: 22 pages, 49 figures
Stability of Periodic Orbits by Conley-Zehnder index theory
Creators: name: Deng, Yanxia
name: Offin, Daniel
Publisher: name: arXiv
Year: 2018
Subjects: subject: Dynamical Systems (math.DS)
subject: Functional Analysis (math.FA)
subject: FOS: Mathematics

description: We give a necessary and sufficient condition for strong stability of low dimensional Hamiltonian systems, in terms of the iterates of a closed orbit and the Conley-Zehnder index. Applications to Mathieu equation and stable harmonic oscillations for forced pendulum type equations are considered as applications of the main result.
description: 19 pages, 2 figures
The unreasonable effectiveness of small neural ensembles in high-dimensional brain
Creators: name: Gorban, A. N.
name: Makarov, V. A.
name: Tyukin, I. Y.
Publisher: name: arXiv
Year: 2018
Subjects: subject: Artificial Intelligence (cs.AI)
subject: Neurons and Cognition (q-bio.NC)
subject: FOS: Computer and information sciences
subject: FOS: Biological sciences

description: Despite the widely-spread consensus on the brain complexity, sprouts of the single neuron revolution emerged in neuroscience in the 1970s. They brought many unexpected discoveries, including grandmother or concept cells and sparse coding of information in the brain. In machine learning for a long time, the famous curse of dimensionality seemed to be an unsolvable problem. Nevertheless, the idea of the blessing of dimensionality becomes gradually more and more popular. Ensembles of non-interacting or weakly interacting simple units prove to be an effective tool for solving essentially multidimensional problems. This approach is especially useful for one-shot (non-iterative) correction of errors in large legacy artificial intelligence systems. These simplicity revolutions in the era of complexity have deep fundamental reasons grounded in geometry of multidimensional data spaces. To explore and understand these reasons we revisit the background ideas of statistical physics. In the course of the 20th century they were developed into the concentration of measure theory. New stochastic separation theorems reveal the fine structure of the data clouds. We review and analyse biological, physical, and mathematical problems at the core of the fundamental question: how can high-dimensional brain organise reliable and fast learning in high-dimensional world of data by simple tools? Two critical applications are reviewed to exemplify the approach: one-shot correction of errors in intellectual systems and emergence of static and associative memories in ensembles of single neurons.
description: Review paper, accepted in Physics of Life Reviews; minor corrections
Supplementary document for Hyperspectral image super-resolution based on transfer of both spectra and multi-level feature - 5887075.pdf
Creators: name: Cao, Xuheng
name: Lian, Yusheng
name: Liu, Zilong
name: Zhou, Han
name: Hu, xiangmei
name: Huang, Beiqing
name: Zhang, Wan
Publisher: name: Optica Publishing Group
Year: 2022
Subjects: Uncategorized

description: The supplemental document of manuscript
The Weyl bound for Dirichlet $L$-functions of cube-free conductor
Creators: name: Petrow, Ian
name: Young, Matthew P.
Publisher: name: arXiv
Year: 2018
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11M06 11F11 11F12 11F66

description: We prove a Weyl-exponent subconvex bound for any Dirichlet $L$-function of cube-free conductor. We also show a bound of the same strength for certain $L$-functions of self-dual $\mathrm{GL}_2$ automorphic forms that arise as twists of forms of smaller conductor.
description: Final version, to appear in Annals of Mathematics. We fixed a gap in the proof of the character sum estimate in section 9 using Deligne's semicontinuity theorem
Expansion dynamics of a spherical Bose-Einstein condensate
Creators: name: Li, Ruizong
name: Gao, Tianyou
name: Zhang, Dongfang
name: Peng, Shi-Guo
name: Kong, Lingran
name: Shen, Xing
name: Liu, Wuming
name: Jiang, Kaijun
Publisher: name: arXiv
Year: 2018
Subjects: subject: Quantum Gases (cond-mat.quant-gas)
subject: Atomic Physics (physics.atom-ph)
subject: FOS: Physical sciences

description: We experimentally and theoretically observe the expansion behaviors of a spherical Bose-Einstein condensate. A rubidium condensate is produced in an isotropic optical dipole trap with an asphericity of 0.037. We measure the variation of the condensate size during the expansion process. The free expansion of the condensate is isotropic, which is different from that of the condensate usually produced in the anisotropic trap. The expansion in the short time is speeding and then after a long time the expansion velocity asymptotically approaches a constant value. We derive an analytic solution of the expansion behavior based on the spherical symmetry, allowing a quantitative comparison with the experimental measurement. The interaction energy of the condensate is gradually converted into the kinetic energy at the beginning of the expansion and the kinetic energy dominates after a long-time expansion. We obtain the interaction energy of the condensate in the trap by probing the expansion velocity, which is consistent with the theoretical prediction.
description: 6 pages, 5 figures
The $C_2$-equivariant cohomology of complex projective spaces
Creators: name: Costenoble, Steven R.
name: Hudson, Thomas
name: Tilson, Sean
Publisher: name: arXiv
Year: 2018
Subjects: subject: Algebraic Topology (math.AT)
subject: FOS: Mathematics
subject: 55N91 (Primary) 14N10, 14N15, 55R40, 55R91 (Secondary)

description: We compute the equivariant cohomology of complex projective spaces associated to finite-dimensional representations of $C_2$, using ordinary cohomology graded on representations of the fundamental groupoid, with coefficients in the Burnside ring Mackey functor. This extension of the $RO(C_2)$-graded theory allows for the definition of Euler classes, which are used as generators of the cohomology of the projective spaces. As an application, we give an equivariant version of Bezout's theorem.
description: 57 pages, this is a major update. The proof of the main result has been simplified. As an application an equivariant version of Bezout's theorem was added
"Agroforestry in Austria" Network
Creators: name: Böhling, Kathrin
Publisher: name: Zenodo
Year: 2025
Subjects: Agroforestry
climate change
farming
knowledge transfer

description: The progressing climatic change in the regions dominated by arable farming in East Austria cause agricultural holdings to test new growing methods; among them also agroforestry systems. In Austria there are; only few examples of implementation. There was no contact point for interested agricultural holdings; nor a network for the exchange of information and experience between practice and science. The OG has therefore created the practice-based “Agroforestry in Austria” network. It includes six arable farms with an interest in implementing farm-adapted agroforestry systems. The network makes insights from this pioneer work to other farms and multipliers available.
Exact Analytical Solution of the Driven Qutrit in an Open Quantum System: V and $Λ$ Configurations
Creators: name: Coleman, Zachary C.
name: Carr, Lincoln D.
Publisher: name: arXiv
Year: 2018
Subjects: subject: Atomic Physics (physics.atom-ph)
subject: Quantum Gases (cond-mat.quant-gas)
subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: We obtain the exact analytical solution for the continuously driven qutrit in the V and $Λ$ configurations governed by the Lindblad master equation. We calculate the linear susceptibility in each system, determining regimes of transient gain without inversion, and identify exact parameter values for superluminal, vanishing, and negative group velocity for the probe field.
description: To be published in J. Phys. B
Simple model of complex dynamics of activity patterns in developing networks of neuronal cultures
Creators: name: Tyukin, I. Y.
name: Iudin, D.
name: Iudin, F.
name: Tyukina, T.
name: Kazantsev, V.
name: Mukhina, I.
name: Gorban, A. N.
Publisher: name: arXiv
Year: 2018
Subjects: subject: Adaptation and Self-Organizing Systems (nlin.AO)
subject: FOS: Physical sciences

description: Living neuronal networks in dissociated neuronal cultures are widely known for their ability to generate highly robust spatiotemporal activity patterns in various experimental conditions. These include neuronal avalanches satisfying the power scaling law and thereby exemplifying self-organized criticality in living systems. A crucial question is how these patterns can be explained and modeled in a way that is biologically meaningful, mathematically tractable and yet broad enough to account for neuronal heterogeneity and complexity. Here we propose a simple model which may offer an answer to this question. Our derivations are based on just few phenomenological observations concerning input-output behavior of an isolated neuron. A distinctive feature of the model is that at the simplest level of description it comprises of only two variables, a network activity variable and an exogenous variable corresponding to energy needed to sustain the activity and modulate the efficacy of signal transmission. Strikingly, this simple model is already capable of explaining emergence of network spikes and bursts in developing neuronal cultures. The model behavior and predictions are supported by empirical observations and published experimental evidence on cultured neurons behavior exposed to oxygen and energy deprivation. At the larger, network scale, introduction of the energy-dependent regulatory mechanism enables the network to balance on the edge of the network percolation transition. Network activity in this state shows population bursts satisfying the scaling avalanche conditions. This network state is self-sustainable and represents a balance between global network-wide processes and spontaneous activity of individual elements.
Room temperature quantum computer cpu potential.
Creators: name: Branton, Peter
Publisher: name: Zenodo
Year: 2025

description: Quantum Computing Potential of Coherium-H The hydrogen variant of Coherium™, known as Coherium-H, displays properties of controlled quantum instability ideal for qubit formation. While inherently unstable in raw form, the application of real-time AI stabilization allows it to support quantum coherence windows suitable for logic operations. Coherium-H qubits would:

 

Operate at or near room temperature

 

Be stabilized via adaptive AI field control

 

Support entangled-state processing without the need for cryogenics

 

 

Compared to existing qubit platforms, Coherium-H offers a lightweight, flexible, and potentially scalable architecture for constructing quantum CPUs using programmable entanglement zones. Its instability becomes its strength when modulated by precise electromagnetic feedback loops.
description: Room temperature quantum computer cpu potential.
Single charge transport in a fully superconducting SQUISET locally tuned by self-inductance effects
Creators: name: Enrico, Emanuele
name: Croin, Luca
name: Strambini, Elia
name: Giazotto, Francesco
Publisher: name: arXiv
Year: 2019
Subjects: subject: Superconductivity (cond-mat.supr-con)
subject: FOS: Physical sciences

description: We present a single-electron device for the manipulation of charge states via quantum interference in nanostructured electrodes. Via self-inductance effects, we induce two independent magnetic fluxes in the electrodes and we demonstrate sensitivity to single charge states and magnetic field at variable temperature. Moreover, our approach allows us to demonstrate local and independent control of the single-particle conductance between nano-engineered tunnel junctions in a fully-Superconducting Quantum Interference Single-Electron Transistor (SQUISET), thereby increasing the flexibility of our single-electron transistors. Our devices show a robust modulation of the current-to-flux transfer function via control currents, while exploiting the single-electron filling of a mesoscopic superconducting island. Further applications of the device concept to single-charge manipulation and magnetic-flux sensing are also discussed.
description: 7 pages, 4 figures
Market Impact: A Systematic Study of the High Frequency Options Market
Creators: name: Said, Emilio
name: Ayed, Ahmed Bel Hadj
name: Thillou, Damien
name: Rabeyrin, Jean-Jacques
name: Abergel, Frédéric
Publisher: name: arXiv
Year: 2019
Subjects: subject: Trading and Market Microstructure (q-fin.TR)
subject: Statistical Finance (q-fin.ST)
subject: FOS: Economics and business

description: This paper deals with a fundamental subject that has seldom been addressed in recent years, that of market impact in the options market. Our analysis is based on a proprietary database of metaorders-large orders that are split into smaller pieces before being sent to the market on one of the main Asian markets. In line with our previous work on the equity market [Said et al., 2018], we propose an algorithmic approach to identify metaorders, based on some implied volatility parameters, the at the money forward volatility and at the money forward skew. In both cases, we obtain results similar to the now well understood equity market: Square-root law, Fair Pricing Condition and Market Impact Dynamics.
description: arXiv admin note: text overlap with arXiv:1802.08502
On the K-theoretic fundamental classes of Deligne-Lusztig varieties
Creators: name: Hudson, Thomas
name: Peters, Dennis
Publisher: name: arXiv
Year: 2019
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics
subject: 20G40, 19E08 (Primary), 14M15 (Secondary)

description: In this paper we express the class of the structure sheaves of the closures of Deligne--Lusztig varieties as explicit double Grothendieck polynomials in the first Chern classes of appropriate line bundles on the ambient flag variety. This is achieved by viewing such closures as degeneracy loci of morphisms of vector bundles.
description: 8 pages, minor changes
Additional file 1 of lncRNAs involved in the Shade Avoidance Syndrome (SAS) in Arabidopsis thaliana
Creators: name: García-López, Irving Jair
name: Vélez-Ramírez, Aarón I.
name: Gillmor, C. Stewart
name: Fernandez-Valverde, Selene L.
Publisher: name: figshare
Year: 2024
Subjects: subject: Genetics
subject: FOS: Biological sciences

description: Supplementary Material 1
Quantizations of local surfaces and rebel instantons
Creators: name: Barmeier, Severin
name: Gasparim, Elizabeth
Publisher: name: arXiv
Year: 2019
Subjects: subject: Algebraic Geometry (math.AG)
subject: High Energy Physics - Theory (hep-th)
subject: Mathematical Physics (math-ph)
subject: Quantum Algebra (math.QA)
subject: FOS: Mathematics
subject: FOS: Physical sciences
subject: 81T70 14J60 32G81 81T13

description: We construct explicit deformation quantizations of the noncompact complex surfaces $Z_k := \operatorname{Tot} (\mathcal O_{\mathbb P^1} (-k))$ and describe their effect on moduli spaces of vector bundles and instanton moduli spaces. We introduce the concept of rebel instantons, as being those which react badly to some quantizations, misbehaving by shooting off extra families of noncommutative instantons. We then show that the quantum instanton moduli space can be viewed as the étale space of a constructible sheaf over the classical instanton moduli space with support on rebel instantons.
description: 38 pages, final version to appear in Journal of Noncommutative Geometry
Transient trapping into metastable states in systems with competing orders
Creators: name: Sun, Zhiyuan
name: Millis, Andrew J.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: Materials Science (cond-mat.mtrl-sci)
subject: Statistical Mechanics (cond-mat.stat-mech)
subject: Superconductivity (cond-mat.supr-con)
subject: FOS: Physical sciences

description: The quench dynamics of a system involving two competing orders is investigated using a Ginzburg-Landau theory with relaxational dynamics. We consider the scenario where a pump rapidly heats the system to a high temperature, after which the system cools down to its equilibrium temperature. We study the evolution of the order parameter amplitude and fluctuations in the resulting time dependent free energy landscape. Exponentially growing thermal fluctuations dominate the dynamics. The system typically evolves into the phase associated with the faster-relaxing order parameter, even if it is not the global free energy minimum. This theory offers a natural explanation for the widespread experimental observation that metastable states may be induced by laser induced collapse of a dominant equilibrium order parameter.
description: New reference added
Entanglement entropy from entanglement contour: higher dimensions
Creators: name: Han, Muxin
name: Wen, Qiang
Publisher: name: arXiv
Year: 2019
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: General Relativity and Quantum Cosmology (gr-qc)
subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: We study the \textit{entanglement contour} and \textit{partial entanglement entropy} (PEE) in quantum field theories in 3 and higher dimensions. The entanglement entropy is evaluated from a certain limit of the PEE with a geometric regulator. In the context of the \textit{entanglement contour}, we classify the geometric regulators, study their difference from the UV regulators. Furthermore, for spherical regions in conformal field theories (CFTs) we find the exact relation between the UV and geometric cutoff, which clarifies some subtle points in the previous literature. We clarify a subtle point of the additive linear combination (ALC) proposal for PEE in higher dimensions. The subset entanglement entropies in the \textit{ALC proposal} should all be evaluated as a limit of the PEE while excluding a fixed class of local-short-distance correlation. Unlike the 2-dimensional configurations, naively plugging the entanglement entropy calculated with a UV cutoff will spoil the validity of the \textit{ALC proposal}. We derive the \textit{entanglement contour} function for spherical regions, annuli and spherical shells in the vacuum state of general-dimensional CFTs on a hyperplane.
description: 28pages, comments are welcom; V2, 35 pages and lot of figures. The paper is almost rewritten everywhere. The main topic changes to the classification of the regulators in QFTs. The title is changed and the new version includes the results of the previous version and clarifies some subtle and incorrect points; V3, minor improvements; V4, minor revision, to appear on Scipost Physics Core
Alcoholism treatment digest (Release No. 97, December 15, 1969)
Creators: name: Keller, Mark
Publisher: name: No Publisher Supplied
Year: 1969

description: The Alcoholism Treatment Digest was a subscription-based publication prepared for special clients by the editorial department of the Quarterly Journal of Studies on Alcohol / Journal of Studies on Alcohol from 1950 to 1973 with Mark Keller as editor. It was published in February, April, June, October, and December, summarizing scholarly content on four topics, available to republish with attribution. Some of the reviews were simultaneously published in the "Connecticut Review on Alcoholism" under the identical subtitle "Alcoholism Treatment Digest" every other month. The authors of the reviews were first noted in 1964, in the June issue.Contents, Release No. 971.Motivating the Alcoholic in Industry to Seek Treatment2.Group Intake of Alcoholics3.Games Alcoholics Play
Long-range Coulomb interactions and nonhydrodynamic behavior in thermal quenches in spin ice
Creators: name: Hart, Oliver
name: Haroche, Marianne
name: Castelnovo, Claudio
Publisher: name: arXiv
Year: 2019
Subjects: subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: Statistical Mechanics (cond-mat.stat-mech)
subject: FOS: Physical sciences

description: When spin ice systems undergo a sudden thermal quench, they have been shown to enter long-lived metastable states where the monopole excitations form so-called noncontractible pairs [Phys. Rev. Lett. 104, 107201 (2010)]. While the nature of these states is well understood, the dynamical mechanisms underpinning their formation remain largely unexplored and are the subject of this study. We find that the long-range tail of the Coulomb interactions between monopoles plays a central role by suppressing the monopole-assisted decay of noncontractible pairs with respect to monopole-antimonopole annihilation. In conjunction with low final quench temperatures, where the system enters a nonhydrodynamic regime in which the monopoles effectively move at terminal velocity in the direction of the local force acting on them, the interactions lead to a metastable plateau that persists in the thermodynamic limit. This is a remarkable phenomenon, reminiscent of jamming and some instances of glassiness: A transient modification of the short-time dynamics of the system allows it to enter a metastable state whose lifetime can easily be astronomically large at (experimentally relevant) low temperatures. We demonstrate this using Monte Carlo simulations and mean field population dynamics theory, and we provide an analytical understanding of the mechanisms at play. When the interactions between monopoles are truncated to finite range, the metastable plateau reduces to a finite size effect. We derive the finite size scaling behaviour of the density of noncontractible pairs in the metastable plateau for both short- and long-range interactions, and discuss the experimental implications of our results.
description: 18 pages, 15 figures; v2 is published version
Dedekind sums arising from newform Eisenstein series
Creators: name: Stucker, Tristie
name: Vennos, Amy
name: Young, Matthew P.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11F20

description: For primitive non-trivial Dirichlet characters $χ_1$ and $χ_2$, we study the weight zero newform Eisenstein series $E_{χ_1,χ_2}(z,s)$ at $s=1$. The holomorphic part of this function has a transformation rule that we express in finite terms as a generalized Dedekind sum. This gives rise to the explicit construction (in finite terms) of elements of $H^1(Γ_0(N), \mathbb{C})$. We also give a short proof of the reciprocity formula for this Dedekind sum.
description: 9 pages
Stability of Bott--Samelson Classes in Algebraic Cobordism
Creators: name: Hudson, Thomas
name: Matsumura, Tomoo
name: Perrin, Nicolas
Publisher: name: arXiv
Year: 2019
Subjects: subject: Algebraic Geometry (math.AG)
subject: Algebraic Topology (math.AT)
subject: FOS: Mathematics

description: In this paper, we construct stable Bott--Samelson classes in the projective limit of the algebraic cobordism rings of full flag varieties, upon an initial choice of a reduced word in a given dimension. Each stable Bott--Samelson class is represented by a bounded formal power series modulo symmetric functions in positive degree. We make some explicit computations for those power series in the case of infinitesimal cohomology. We also obtain a formula of the restriction of Bott--Samelson classes to smaller flag varieties.
description: 23 pages. Comments are welcome
Joint Design of surveillance radar and MIMO communication in cluttered environments
Creators: name: Grossi, Emanuele
name: Lops, Marco
name: Venturino, Luca
Publisher: name: arXiv
Year: 2019
Subjects: subject: Signal Processing (eess.SP)
subject: Information Theory (cs.IT)
subject: FOS: Electrical engineering, electronic engineering, information engineering
subject: FOS: Computer and information sciences

description: In this study, we consider a spectrum sharing architecture, wherein a multiple-input multiple-output communication system cooperatively coexists with a surveillance radar. The degrees of freedom for system design are the transmit powers of both systems, the receive linear filters used for pulse compression and interference mitigation at the radar receiver, and the space-time communication codebook. The design criterion is the maximization of the mutual information between the input and output symbols of the communication system, subject to constraints aimed at safeguarding the radar performance. Unlike previous studies, we do not require any time-synchronization between the two systems, and we guarantee the radar performance on all of the range-azimuth cells of the patrolled region under signal-dependent (endogenous) and signal-independent (exogenous) interference. This leads to a non-convex problem, and an approximate solution is thus introduced using a block coordinate ascent method. A thorough analysis is provided to show the merits of the proposed approach and emphasize the inherent tradeoff among the achievable mutual information, the density of scatterers in the environment, and the number of protected radar cells.
description: Submitted to IEEE Transaction on Signal Processing on June 24, 2019
Strong Spin Resonance Mode associated with suppression of soft magnetic ordering in Hole-doped Ba1-xNaxFe2As2
Creators: name: Wasser, F.
name: Park, J. -T.
name: Aswartham, S.
name: Wurmehl, S.
name: Sidis, Y.
name: Steffens, P.
name: Schmalzl, K.
name: Büchner, B.
name: Braden, M.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Superconductivity (cond-mat.supr-con)
subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: FOS: Physical sciences

description: Spin-resonance modes (SRM) are taken as evidence for magnetically driven pairing in Fe-based superconductors, but their character remains poorly understood. The broadness, the splitting and the spin-space anisotropies of SRMs contrast with the mostly accepted interpretation as spin excitons. We study hole-doped Ba$_{1-x}$Na$_x$Fe$_2$As$_2$ that displays a spin reorientation transition. This reorientation has little impact on the overall appearance of the resonance excitations with a high-energy isotropic and a low-energy anisotropic mode. However, the strength of the anisotropic low-energy mode sharply peaks at the highest doping that still exhibits magnetic ordering resulting in the strongest SRM observed in any Fe-based superconductor so far. This remarkably strong SRM is accompanied by a loss of about half of the magnetic Bragg intensity upon entering the SC phase. Anisotropic SRMs thus can allow the system to compensate for the loss of exchange energy arising from the reduced antiferromagnetic correlations within the SC state.
description: 10 pages, 5 figures, 1 table
On Constant Distance Spacing Policies for Cooperative Adaptive Cruise Control
Creators: name: Massow, Kay
name: Radusch, Ilja
name: Shorten, Robert
Publisher: name: arXiv
Year: 2019
Subjects: subject: Systems and Control (eess.SY)
subject: FOS: Electrical engineering, electronic engineering, information engineering

description: Cooperative Adaptive Cruise Control (CACC) systems are considered as key potential enablers to improve driving safety and traffic efficiency. They allow for automated vehicle following using wireless communication in addition to onboard sensors. To achieve string stability in CACC platoons, constant time headway (CTH) spacing policies have prevailed in research; namely, vehicle interspacing grows with the speed. While constant distance headway (CDH) spacing policies provide superior potential to increase traffic capacity than CTH, a major drawback is a smaller safety margin at high velocities and string stability cannot be achieved using a one-vehicle look-ahead communication. The hypothesis of this work is to apply CDH only in few driving situations, when traffic throughput is of highest importance and safety requirements can be met due to comparably low velocities. As the most relevant situations where CDH could be applied, we identify starting platoons at signalized intersections. In this paper, we illustrate this idea. Specifically, we compare CTH with CDH regarding its potential to increase the capacity of traffic lights. Starting with the elementary situation of single traffic lights we expand our scope to whole traffic networks including several thousand vehicles in simulation. Using real world data to calibrate and validate vehicle dynamics simulation and traffic simulation, the study discusses the most relevant working parameters of CDH, CTH, and the traffic system in which both are applied.
description: A short version of this study was published in the Vehicular Technology Section in IEEE Access under the title "A numerical study on constant spacing policies for starting platoons at oversaturated intersections". First version (v1) submitted to IEEE Access on 21-Oct-2021, resubmission (v2) on 31-Jan-2022, acceptance (v3) on 09-Mar-2022
Numerical investigation on the Hill's type lunar problem with homogeneous potential
Creators: name: Deng, Yanxia
name: Ibrahim, Slim
name: Zotos, Euaggelos E.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Chaotic Dynamics (nlin.CD)
subject: Classical Analysis and ODEs (math.CA)
subject: Dynamical Systems (math.DS)
subject: FOS: Physical sciences
subject: FOS: Mathematics
subject: 34, 37, 70

description: We consider the planar Hill's lunar problem with a homogeneous gravitational potential. The investigation of the system is twofold. First, the starting conditions of the trajectories are classified into three classes, that is bounded, escaping, and collisional. Second, we study the no-return property of the Lagrange point $L_2$ and we observe that the escaping trajectories are scattered exponentially. Moreover, it is seen that in the supercritical case, with $α\geq 2$, the basin boundaries are smooth. On the other hand, in the subcritical case, with $α< 2$ the boundaries between the different types of basins exhibit fractal properties.
description: 12 pages, 10 figures