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We present a complete analysis of the problem of convection-diffusion in low
Re, 2-dimensional flows with distributions of singularities, such as those
found in open-space microfluidics and in groundwater flows. Using Boussinesq
transformations and solving the problem in streamline coordinates, we obtain
concentration ... | http://arxiv.org/abs/2003.05818v1 |
IceCube DeepCore is an extension of the IceCube Neutrino Observatory designed to measure GeV scale atmospheric neutrino interactions for the purpose of neutrino oscillation studies. Distinguishing muon neutrinos from other flavors and reconstructing inelasticity are especially difficult tasks at GeV scale energies in I... | https://arxiv.org/abs/2307.16373v1 |
Automated methods for breast cancer detection have focused on 2D mammography and have largely ignored 3D digital breast tomosynthesis (DBT), which is frequently used in clinical practice. The two key challenges in developing automated methods for DBT classification are handling the variable number of slices and retaini... | https://arxiv.org/abs/2002.12314v1 |
Broadening the knowledge and understanding on the magnetic correlations in
van der Waals layered magnets is critical in realizing their potential
next-generation applications. In this study, we employ high frequency (240 GHz)
electron spin resonance (ESR) spectroscopy on plate-like CrBr$_{3}$ to gain
insight into the m... | http://arxiv.org/abs/2010.15342v1 |
Covariant affine integral quantization is studied and applied to the motion of a particle in a punctured plane R^2_\ast=R^2\{0}, for which the phase space is R^2_\ast=R^2\{0}X R^2. We examine the consequences of different quantizer operators built from weight functions on this phase space. To illustrate the procedure, ... | https://arxiv.org/abs/1911.00578v2 |
Scene text recognition has been an important, active research topic in computer vision for years. Previous approaches mainly consider text as 1D signals and cast scene text recognition as a sequence prediction problem, by feat of CTC or attention based encoder-decoder framework, which is originally designed for speech ... | https://arxiv.org/abs/1907.09705v1 |
Aligning large language models with human preferences is crucial for their safe deployment. While Direct Preference Optimization (DPO) offers an efficient alternative to reinforcement learning from human feedback, traditional DPO methods are limited by their reliance on single preference pairs. Recent work like Curricu... | https://arxiv.org/abs/2504.07856v2 |
Recently, multi-modality models have been introduced because of the complementary information from different sensors such as LiDAR and cameras. It requires paired data along with precise calibrations for all modalities, the complicated calibration among modalities hugely increases the cost of collecting such high-quali... | https://arxiv.org/abs/2309.11755v1 |
In this paper we propose a fully automatic 2-stage cascaded approach for
segmentation of liver and its tumors in CT (Computed Tomography) images using
densely connected fully convolutional neural network (DenseNet). We
independently train liver and tumor segmentation models and cascade them for a
combined segmentation ... | http://arxiv.org/abs/1802.02182v1 |
We address the problem of 2D particle density control. The particles are immersed in dielectric fluid and acted upon by manipulating an electric field. The electric field is controlled by an array of electrodes and used to bring the particle density to a desired pattern using dielectrophoretic forces. We use a lumped, ... | https://arxiv.org/abs/2209.03550v1 |
We derive the Weil-Petersson measure on the moduli space of hyperbolic surfaces with defects of arbitrary opening angles and use this to compute its volume. We conjecture a matrix integral computing the corresponding volumes and confirm agreement in simple cases. We combine this mathematical result with the equivariant... | https://arxiv.org/abs/2304.14948v2 |
The thermodynamic and superfluid properties of the dilute two-dimensional
binary Bose mixture at low temperatures are discussed. We also considered the
problem of the emergence of the long-range order in these systems. All
calculations are performed by means of celebrated Popov's path-integral
approach for the Bose gas... | http://arxiv.org/abs/1708.00432v2 |
BiSbTeSe$_2$ is a 3D topological insulator (3D-TI) with Dirac type surface states and low bulk carrier density, as donors and acceptors compensate each other. Dominating low temperature surface transport in this material is heralded by Shubnikov-de Haas oscillations and the quantum Hall effect. Here, we experimentally ... | https://arxiv.org/abs/1912.02725v3 |
This work proposes a novel 2-D formation control scheme for acyclic triangulated directed graphs (a class of minimally acyclic persistent graphs) based on bipolar coordinates with (almost) global convergence to the desired shape. Prescribed performance control is employed to devise a decentralized control law that avoi... | https://arxiv.org/abs/2108.00916v3 |
We introduce a number of new theoretical approaches and improvements to the thermo-chemical disc modelling code ProDiMo to better predict and analyse the JWST line spectra of protoplanetary discs. We develop a new line escape probability method for disc geometries, a new scheme for dust settling, and discuss how to app... | https://arxiv.org/abs/2311.18321v1 |
Two-Dimensional (2D) Discrete Fourier Transform (DFT) is a basic and
computationally intensive algorithm, with a vast variety of applications. 2D
images are, in general, non-periodic, but are assumed to be periodic while
calculating their DFTs. This leads to cross-shaped artifacts in the frequency
domain due to spectra... | http://arxiv.org/abs/1603.05154v1 |
We discuss a discretisation of the de Rham-Hodge theory in the two-dimensional case based on a discrete exterior calculus framework. We present discrete analogues of the Hodge-Dirac and Laplace operators in which key geometric aspects of the continuum counterpart are captured. We provide and prove a discrete version of... | https://arxiv.org/abs/2202.03923v1 |
In this paper, we introduce a discretization scheme for the Yang-Mills equations in the two-dimensional case using a framework based on discrete exterior calculus. Within this framework, we define discrete versions of the exterior covariant derivative operator and its adjoint, which capture essential geometric features... | https://arxiv.org/abs/2405.15315v1 |
MXenes are rapidly emerging two-dimensional (2D) materials with thickness, composition, and functionalization-dependent outstanding properties having applications in diverse fields. To disclose nano-spintronic applications of 2D-double transition metal (DTM) carbide and nitride-based pristine and surface-functionalized... | https://arxiv.org/abs/2211.00846v1 |
Recent advancements in Direct Preference Optimization (DPO) have significantly enhanced the alignment of Large Language Models (LLMs) with human preferences, owing to its simplicity and effectiveness. However, existing methods typically optimize a scalar score or ranking reward, thereby overlooking the multi-dimensiona... | https://arxiv.org/abs/2410.19720v1 |
In this paper, we present a technique that places 3D bounding boxes around objects in an RGB-D scene. Our approach makes best use of the 2D information to quickly reduce the search space in 3D, benefiting from state-of-the-art 2D object detection techniques. We then use the 3D information to orient, place, and score bo... | http://openaccess.thecvf.com/content_iccv_2017/html/Lahoud_2D-Driven_3D_Object_ICCV_2017_paper.html |
We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian gauge theories, as well as $\mathcal{N}=(0,2)$ Gauge/Landau-Ginzburg duality. | https://arxiv.org/abs/2407.17350v3 |
Understanding the internal rotation of low mass stars all along their
evolution is of primary interest when studying their rotational dynamics,
internal mixing and magnetic field generation. In this context, helio- and
asteroseismology probe angular velocity gradients deep within solar type stars
at different evolution... | http://arxiv.org/abs/1610.08798v1 |
Power cables have complex geometries in order to reduce their AC resistance. The cross-section of a cable consists of several conductors that are electrically insulated from each other to counteract the current displacement caused by the skin effect. Furthermore, the individual conductors are twisted over the cable's l... | https://arxiv.org/abs/2301.03370v1 |
The interest in single-chip mmWave Radar is driven by their compact form factor, cost-effectiveness, and robustness under harsh environmental conditions. Despite its promising attributes, the principal limitation of mmWave radar lies in its capacity for autonomous yaw rate estimation. Conventional solutions have often ... | https://arxiv.org/abs/2404.00830v1 |
A two dimensional electron gas on a cylindrical surface with a screw
dislocation is considered. More precisely, we investigate how both the geometry
and the deformed potential due to a lattice distortion affect the Landau levels
of such system. The case showing the deformed potential can be thought in the
context of 3D... | http://arxiv.org/abs/1504.02968v1 |
A two dimensional eigenvalue problem (2DEVP) of a Hermitian matrix pair $(A, C)$ is introduced in this paper. The 2DEVP can be viewed as a linear algebraic formulation of the well-known eigenvalue optimization problem of the parameter matrix $H(\mu) = A - \mu C$. We present fundamental properties of the 2DEVP such as t... | https://arxiv.org/abs/1911.08109v3 |
In Part I of this paper, we introduced a two dimensional eigenvalue problem (2DEVP) of a matrix pair and investigated its fundamental theory such as existence, variational characterization and number of 2D-eigenvalues. In Part II, we proposed a Rayleigh quotient iteration (RQI)-like algorithm (2DRQI) for computing a 2D... | https://arxiv.org/abs/2303.05357v1 |
In Part I of this paper, we introduced a 2D eigenvalue problem (2DEVP) and presented theoretical results of the 2DEVP and its intrinsic connetion with the eigenvalue optimizations. In this part, we devise a Rayleigh quotient iteration (RQI)-like algorithm, 2DRQI in short, for computing a 2D-eigentriplet of the 2DEVP. T... | https://arxiv.org/abs/2209.12040v1 |
SPIDER is the prototype ion source of MITICA, the full-size neutral beam heating system conceived for the ITER tokamak. It includes eight drivers to heat and sustain the inductively coupled plasma (ICP). Owing to their near cylindrical symmetry, the coupling between the radio-frequency (RF) active currents and the sour... | https://arxiv.org/abs/2305.09395v1 |
2D electron density profiles obtained from coherence imaging spectroscopy in different MAST-U divertor conditions are compared. The data includes variations of strike point position, core electron density, and heating power. The improved performance of the long-legged divertors results in a lower electron density and p... | https://arxiv.org/abs/2410.00818v1 |
Semiconductor interfaces, such as these existing in multilayer structures
(e.g., quantum wells (QWs)), are interesting because of their ability to form
2D electron gases (2DEGs), in which charge carriers behave completely
differently than they do in the bulk. As an example, in the presence of a
strong magnetic field, t... | http://arxiv.org/abs/1905.08703v1 |
The 2D electrons trapped in vacuum near the atomically thin dielectric (ATD, mono- or $N$-layer film of $h$-BN or transition metal dichalcogenide) are considered. ATD is suspended above the back gate and forms the capacitor which is controlled by the biased voltage determining 2D concentration, $n_{2D}$. It is found th... | https://arxiv.org/abs/2103.10424v2 |
In the advent of big data era, interactive visualization of large data sets
consisting of M*10^5+ high-dimensional feature vectors of length N (N ~ 10^3+),
is an indispensable tool for data exploratory analysis. The state-of-the-art
data embedding (DE) methods of N-D data into 2-D (3-D) visually perceptible
space (e.g.... | http://arxiv.org/abs/1902.01108v1 |
Partitionings (or segmentations) divide a given domain into disjoint connected regions whose union forms again the entire domain. Multi-dimensional partitionings occur, for example, when analyzing parameter spaces of simulation models, where each segment of the partitioning represents a region of similar model behavior... | https://arxiv.org/abs/2408.03641v2 |
A recently developed new approach, called ``Empirical Wavelet Transform'', aims to build 1D adaptive wavelet frames accordingly to the analyzed signal. In this paper, we present several extensions of this approach to 2D signals (images). We revisit some well-known transforms (tensor wavelets, Littlewood-Paley wavelets,... | https://arxiv.org/abs/2410.23533v1 |
Form factors of the energy-momentum tensor (EMT) can be interpreted in certain frames in terms of spatial distributions of energy, stress, linear and angular momentum, based on 2D or 3D Fourier transforms. This interpretation is in general subject to "relativistic recoil corrections", except when the nucleon moves at t... | https://arxiv.org/abs/2202.01192v2 |
Introduced independently by Grothendieck and Heller in the 1980s, derivators provide a formal way to study homotopy theories by working in some quotient category such as the homotopy category of a model category. In 2015 Riehl and Verity introduced $\infty$-cosmoi, which are particular $(\infty,2)$-categories where one... | https://arxiv.org/abs/2309.05216v1 |
This paper introduces explicit Galois cohomological methods for determining the ranks of Bloch--Kato Selmer groups associated to the Tate twists of the 2-adic second \'etale cohomology of the Jacobian of a hyperelliptic curve with a rational Weierstrass point. In particular, this can give a method to determine the rati... | https://arxiv.org/abs/2312.04996v2 |
We give refined methods for proving finiteness of the Chabauty--Coleman--Kim set $X(\mathbb{Q}_2 )_2 $, when $X$ is a hyperelliptic curve with a rational Weierstrass point. The main developments are methods for computing Selmer conditions at $2$ and $\infty$ for the mod 2 Bloch--Kato Selmer group associated to the high... | https://arxiv.org/abs/2403.07476v1 |
Imperfect measurement can degrade a quantum error correction scheme. A
solution that restores fault tolerance is to add redundancy to the process of
syndrome extraction. In this work, we show how to optimize this process for an
arbitrary ratio of data qubit error probability to measurement error
probability. The key is... | http://arxiv.org/abs/1907.04497v2 |
Recent research in computational imaging largely focuses on developing machine learning (ML) techniques for image reconstruction, which requires large-scale training datasets consisting of measurement data and ground-truth images. However, suitable experimental datasets for X-ray Computed Tomography (CT) are scarce, an... | https://arxiv.org/abs/2306.05907v1 |
The limit from an Euler type system to the 2D Euler equations with Stratonovich transport noise is investigated. A weak convergence result for the vorticity field and a strong convergence result for the velocity field are proved. Our results aim to provide a stochastic reduction of fluid-dynamics models with three diff... | https://arxiv.org/abs/2101.03096v1 |
Understanding the excitation spectrum in two-dimensional quantum many-body systems has long been a challenging task. We present an approach by introducing an excitation ansatz based on an infinite matrix product state (MPS) on a helix structure. With the canonical form of MPS states, we can accurately extract key prope... | https://arxiv.org/abs/2310.15759v2 |
We present spectral classifications from optical spectroscopy of 263 massive
stars in the north-eastern region of the Large Magellanic Cloud. The observed
two-degree field includes the massive 30 Doradus star-forming region, the
environs of SN1987A, and a number of star-forming complexes to the south of 30
Dor. These a... | http://arxiv.org/abs/1508.03490v1 |
We present a new approach for face recognition system. The method is based on
2D face image features using subset of non-correlated and Orthogonal Gabor
Filters instead of using the whole Gabor Filter Bank, then compressing the
output feature vector using Linear Discriminant Analysis (LDA). The face image
has been enha... | http://arxiv.org/abs/1503.03741v1 |
As 3D perception problems grow in popularity and the need for large-scale labeled datasets for LiDAR semantic segmentation increase, new methods arise that aim to reduce the necessity for dense annotations by employing weakly-supervised training. However these methods continue to show weak boundary estimation and high ... | https://arxiv.org/abs/2311.15605v1 |
An invariant of SPT-phases with on-site finite group $G$ symmetry for two-dimensional Fermion systems was derived in [O]. This invariant is doubled compared to the conjectured one from the invertible quantum field theory. We show that if we require CRT-symmetry (which holds automatically in quantum field theory) in add... | https://arxiv.org/abs/2212.09038v2 |
We consider a two-dimensional fermion on the strip in the presence of an
arbitrary number of zero-dimensional boundary changing defects. We show that
the theory is still conformal with time dependent stress-energy tensor and that
the allowed defects can be understood as excited spin fields. Finally we
compute correlati... | http://arxiv.org/abs/1912.07617v1 |
In the limit of the lattice spacing going to zero, we consider the dimer model on isoradial graphs in the presence of singular $SL(N,\mathbb{C})$ gauge fields flat away from a set of punctures. We consider the cluster expansion of this twisted dimer partition function show it matches an analogous cluster expansion of t... | https://arxiv.org/abs/2208.10640v2 |
Network failures continue to plague datacenter operators as their symptoms
may not have direct correlation with where or why they occur. We introduce 007,
a lightweight, always-on diagnosis application that can find problematic links
and also pinpoint problems for each TCP connection. 007 is completely contained
within... | http://arxiv.org/abs/1802.07222v1 |
We demonstrated a Germanium-on-Silicon photodetector utilizing an asymmetric-Fabry-Perot resonator with 0.08 fF capacitance. The measurements at 1315.5 nm show 0.72 nA (3.40 nA) dark current, 0.93 A/W (0.96 A/W) responsivity, 36 Gb/s (38 Gb/s) operation at -1V (-2V) bias. | https://arxiv.org/abs/2401.03527v1 |
Sample average approximation (SAA) is a tractable approach for dealing with chance constrained programming, a challenging stochastic optimization problem. The constraint of SAA is characterized by the $0/1$ loss function which results in considerable complexities in devising numerical algorithms. Most existing methods ... | https://arxiv.org/abs/2210.11889v4 |
The step function is one of the simplest and most natural activation functions for deep neural networks (DNNs). As it counts 1 for positive variables and 0 for others, its intrinsic characteristics (e.g., discontinuity and no viable information of subgradients) impede its development for several decades. Even if there ... | https://arxiv.org/abs/2206.09379v2 |
We study pseudo-polynomial time algorithms for the fundamental \emph{0-1 Knapsack} problem. Recent research interest has focused on its fine-grained complexity with respect to the number of items $n$ and the \emph{maximum item weight} $w_{\max}$. Under $(\min,+)$-convolution hypothesis, 0-1 Knapsack does not have $O((n... | https://arxiv.org/abs/2308.04093v2 |
In a recent paper, the question of determining the fraction of binary trees that contain a fixed pattern known as the snowflake was posed. We show that this fraction goes to 1, providing two very different proofs: a purely combinatorial one that is quantitative and specific to this problem; and a proof using branching ... | https://arxiv.org/abs/2402.04499v2 |
We consider statistical models of estimation of a rank-one matrix (the spike) corrupted by an additive gaussian noise matrix in the sparse limit. In this limit the underlying hidden vector (that constructs the rank-one matrix) has a number of non-zero components that scales sub-linearly with the total dimension of the ... | https://arxiv.org/abs/1911.05030v1 |
We propose that a simple, Lagrangian 2d $\mathcal{N}=(0, 2)$ duality
interface between the 3d $\mathcal{N}=2$ XYZ model and 3d $\mathcal{N}=2$ SQED
can be associated to the simplest triangulated 4-manifold: the 4-simplex. We
then begin to flesh out a dictionary between more general triangulated
4-manifolds with boundar... | http://arxiv.org/abs/1905.05173v2 |
We introduce a class of (0,2) superconformal field theories based on hybrid
geometries, generalizing various known constructions. We develop techniques for
the computation of the complete massless spectrum when the theory can be
interpreted as determining a perturbative heterotic string compactification. We
provide evi... | http://arxiv.org/abs/1712.04976v2 |
In this work we find the first examples of (0,2) mirror symmetry on compact non-K\"ahler complex manifolds. For this we follow Borisov's approach to mirror symmetry using vertex algebras and the chiral de Rham complex. Our examples of (0,2) mirrors are given by pairs of Hopf surfaces endowed with a Bismut-flat pluriclo... | https://arxiv.org/abs/2012.01851v3 |
Two-dimensional $\mathcal{N}=(0,4)$ supersymmetric quiver gauge theories are
realized as D3-brane box configurations (two dimensional intervals) which are
bounded by NS5-branes and intersect with D5-branes. The periodic brane
configuration is mapped to D1-D5-D5$'$ brane system at orbifold singularity via
T-duality. The... | http://arxiv.org/abs/1811.09117v1 |
We study a class of two-dimensional ${\cal N}=(0, 4)$ quiver gauge theories
that flow to superconformal field theories. We find dualities for the
superconformal field theories similar to the 4d ${\cal N}=2$ theories of class
${\cal S}$, labelled by a Riemann surface ${\cal C}$. The dual descriptions
arise from various ... | http://arxiv.org/abs/1505.07110v2 |
We describe the projective superspace approach to supersymmetric models with off-shell $(0,4)$ supersymmetry in two dimensions. In addition to the usual superspace coordinates, projective superspace has extra bosonic variables -- one doublet for each $\text{SU}(2)$ in the R-symmetry $\text{SU}(2) \times \text{SU}(2)$ w... | https://arxiv.org/abs/2303.14675v1 |
Electro-optic modulators transform electronic signals into the optical domain
and are critical components in modern telecommunication networks, RF photonics,
and emerging applications in quantum photonics and beam steering. All these
applications require integrated and voltage-efficient modulator solutions with
compact... | http://arxiv.org/abs/1809.03544v1 |
Near-term quantum computers will soon reach sizes that are challenging to directly simulate, even when employing the most powerful supercomputers. Yet, the ability to simulate these early devices using classical computers is crucial for calibration, validation, and benchmarking. In order to make use of the full potenti... | https://arxiv.org/abs/1704.01127v2 |
We explore a new class of AdS$_3$ solutions in massive type IIA supergravity preserving $\mathcal{N} = (0,6)$ supersymmetry and realising an $\mathfrak{osp}(6|2)$ superconformal algebra. These solutions exhibit an SO(6)-symmetric internal space constructed from a $\mathbb{CP}^3$, and are fully specified by a single cub... | https://arxiv.org/abs/2504.20864v1 |
Electron tomography, as an important 3D imaging method, offers a powerful
method to probe the 3D structure of materials from the nano- to the
atomic-scale. However, as a grant challenge, radiation intolerance of the
nanoscale samples and the missing-wedge-induced information loss and artifacts
greatly hindered us from ... | http://arxiv.org/abs/2003.12259v1 |
The Hilda asteroids are primitive bodies in resonance with Jupiter whose
origin and physical properties are not well understood. Current models posit
that these asteroids formed in the outer Solar System and were scattered along
with the Jupiter Trojans into their present-day positions during a chaotic
episode of dynam... | http://arxiv.org/abs/1707.09064v1 |
Since the pioneering work of Ramsey, atom interferometers are employed for
precision metrology, in particular to measure time and to realize the second.
In a classical interferometer, an ensemble of atoms is prepared in one of the
two input states, whereas the second one is left empty. In this case, the
vacuum noise re... | http://arxiv.org/abs/1605.07754v1 |
High-speed physical key distribution is diligently pursued for secure communication. In this paper, we propose and experimentally demonstrate a scheme of high-speed key distribution using mode-shift keying chaos synchronization between two multi-longitudinal-mode Fabry-Perot lasers commonly driven by a super-luminescen... | https://arxiv.org/abs/2004.08586v3 |
Frequency comb and field-resolved broadband absorption spectroscopy are promising techniques for rapid, precise, and sensitive detection of short-lived atmospheric pollutants on-site. Enhancing detection sensitivity in absorption spectroscopy hinges on bright sources that cover molecular resonances and fast signal modu... | https://arxiv.org/abs/2407.13371v1 |
An all-silica-fiber thulium-doped fiber laser emitting at 0.82 um on the transition from 3H4 to the ground state 3H6 outputs 105 W continuous-wave (CW) power and 555 W quasi-continuous-wave (QCW) instantaneous power with 0.96% duty cycle in 240-us rectangular pulses. The TDFL comprises a double-clad thulium-doped fiber... | https://arxiv.org/abs/2505.09582v1 |
We present a framework for computational ghost imaging based on deep learning and customized pink noise speckle patterns. The deep neural network in this work, which can learn the sensing model and enhance image reconstruction quality, is trained merely by simulation. To demonstrate the sub-Nyquist level in our work, t... | https://arxiv.org/abs/2108.07673v1 |
We use QCD spectral sum rules (QSSR) and the factorization properties of
molecule and four-quark currents to estimate the masses and couplings of the 0+
and 1+ molecules and four-quark at N2LO of PT QCD. We include in the OPE the
contributions of non-perturbative condensates up to dimension-six. Within the
Laplace sum ... | http://arxiv.org/abs/1801.09110v1 |
In this short note we prove an analogue of Auslander correspondence for exact dg categories whose $H^0$-category is $0$-Auslander in the sense of Gorsky--Nakaoka--Palu. | https://arxiv.org/abs/2306.15958v2 |
In this paper we investigate the 0-concordance classes of 2-knots in $S^4$,
an equivalence relation that is related to understanding smooth structures on
4-manifolds. Using Rochlin's invariant, and invariants arising from
Heegaard-Floer homology, we will prove that there are infinitely many
0-concordance classes of 2-k... | http://arxiv.org/abs/1907.06524v1 |
In this paper we provide a new obstruction to 0-concordance of knotted
surfaces in $S^4$ in terms of Alexander ideals. We use this to prove the
existence of infinitely many linearly independent 0-concordance classes and to
provide the first proof that the submonoid of 2-knots is not a group. The main
result is that the... | http://arxiv.org/abs/1911.13112v1 |
Let $F$ be an infinite division ring, $V$ be a left $F$-vector space, $r>0$
be an integer. We study the structure of the representation of the linear group
$\mathrm{GL}_F(V)$ in the vector space of formal finite linear combinations of
$r$-dimensional vector subspaces of $V$ with coefficients in a field $K$. This
gives ... | http://arxiv.org/abs/1811.08675v3 |
Presence of coherent resonant tunneling in quantum dot (zero-dimensional) - quantum well (two-dimensional) heterostructure is necessary to explain the collective oscillations of average electrical polarization of excitonic dipoles over a macroscopically large area. This was measured using photo excited capacitance as a... | https://arxiv.org/abs/2107.13518v3 |
This note presents TopoMap, a novel dimensionality reduction technique which provides topological guarantees during the mapping process. In particular, TopoMap performs the mapping from a high-dimensional space to a visual space, while preserving the 0-dimensional persistence diagram of the Rips filtration of the high-... | https://openreview.net/forum?id=zrDNDWjOGwH |
We propose axioms for 0-dimensional ideal approximation theory and note that extriangulated categories satisfy these axioms. | https://arxiv.org/abs/2502.04665v1 |
Orbifold singularities of M-theory constitute the building blocks of a broad class of supersymmetric quantum field theories (SQFTs). In this paper we show how the local data of these geometries determines global data on the resulting higher symmetries of these systems. In particular, via a process of cutting and gluing... | https://arxiv.org/abs/2203.10102v4 |
Motivated by the LHCb's new observation of structures in the $J/\psi$-pair
invariant mass spectrum, for which could be classified as possible
$cc\bar{c}\bar{c}$ tetraquark candidates, we systematically study $0^{+}$
fully-charmed tetraquark states through QCD sum rules. Making the development
of calculation techniques ... | http://arxiv.org/abs/2010.07719v1 |
In Digital Geometry, gaps are some basic portion of a digital object that a discrete ray can cross without intersecting any voxel of the object itself. Such a notion is quite important in combinatorial image analysis and it is strictly connected with some applications in fields as CAD and Computer graphics. In this pap... | https://arxiv.org/abs/2109.13341v1 |
We extend the notion of ascent-compatibility from symmetric groups to all Coxeter groups, thereby providing a type-independent framework for constructing families of modules of $0$-Hecke algebras. We apply this framework in type $B$ to give representation-theoretic interpretations of a number of noteworthy families of ... | https://arxiv.org/abs/2404.04961v1 |
We introduce a new basis of quasisymmetric functions, the row-strict dual immaculate functions. We construct a cyclic, indecomposable 0-Hecke algebra module for these functions. Our row-strict immaculate functions are related to the dual immaculate functions of Berg-Bergeron-Saliola-Serrano-Zabrocki (2014-15) by the in... | https://arxiv.org/abs/2202.00708v3 |
Segmentation of moving objects in dynamic scenes is a key process in scene understanding for navigation tasks. Classical cameras suffer from motion blur in such scenarios rendering them effete. On the contrary, event cameras, because of their high temporal resolution and lack of motion blur, are tailor-made for this pr... | https://arxiv.org/abs/2006.06158v2 |
We build a new spectrum of recursive models (SRM(T)) of a strongly minimal theory. This theory is non-disintegrated, flat, model complete, and in a language with a finite signature. | https://arxiv.org/abs/1908.09387v2 |
We introduce a method for isospin restoration in the calculation of nuclear
matrix elements (NME) for $0\nu\beta\beta$ and $2\nu\beta\beta$ decay within
the framework of interacting boson model (IBM-2). With this method, we
calculate NME for all processes of interest in $0\nu\beta^-\beta^-$,
$2\nu\beta^-\beta^-$, and i... | http://arxiv.org/abs/1506.08530v1 |
We consider a version of Left-Right Symmetric Model in which the scalar
sector consists of a Higgs bidoublet ($\Phi$) with $B-L=0$, Higgs doublets
($H_{L,R}$) with $B-L=1$ and a charged scalar ($\delta^+$) with $B-L=2$ leading
to radiatively generated Majorana masses for neutrinos and thereby, leads to
new physics cont... | http://arxiv.org/abs/1809.10577v2 |
Intimate relation between the Gamow-Teller part of the matrix element
$M^{0\nu}_\mathrm{GT}$ and the $2\nu\beta\beta$ closure matrix element
$M^{2\nu}_\mathrm{cl}$ is explained and explored. If the corresponding radial
dependence $C^{2\nu}_\mathrm{cl}(r)$ would be known, $M^{0\nu}$ corresponding
to any mechanism respon... | http://arxiv.org/abs/1808.05016v1 |
Let the Euclidean plane be simultaneously and independently endowed with a
Poisson point process and a Poisson line process, each of unit intensity.
Consider a triangle T whose vertices all belong to the point process. The
triangle is 0-pierced if no member of the line process intersects any side of
T. Our starting poi... | http://arxiv.org/abs/1804.01353v2 |
Two superconductors coupled by a weak link support an equilibrium Josephson
electrical current which depends on the phase difference $\varphi$ between the
superconducting condensates [1]. Yet, when a temperature gradient is imposed
across the junction, the Josephson effect manifests itself through a coherent
component ... | http://arxiv.org/abs/1607.02428v3 |
We investigate experimentally the supercurrent in a clean carbon nanotube
quantum dot, close to orbital degeneracy, connected to superconducting leads in
a regime of strong competition between local electronic correlations and
superconducting proximity effect. For an odd occupancy of the dot and
intermediate coupling t... | http://arxiv.org/abs/1601.03878v1 |
In a quantum dot hybrid superconducting junction, the behavior of the
supercurrent is dominated by Coulomb blockade physics, which determines the
magnetic state of the dot. In particular, in a single level quantum dot singly
occupied, the sign of the supercurrent can be reversed, giving rise to a
pi-junction. This 0-pi... | http://arxiv.org/abs/1712.08372v1 |
Optical trapping is having ever-increasing impact in science $-$ particularly biophysics, photonics and most recently in quantum optomechanics $-$ owing to its superior capability for manipulating nanoscale structures and materials. However, essentially all experimental optical trapping studies in the optical dipole re... | https://arxiv.org/abs/2408.09707v1 |
A graceful labelling of a tree T = (V,E), where V is the set of vertices of the tree and E is its edge set, is a bijective function f from V to the set consisting of the numbers 0, 1, ... |E| inclusive, such that if edge uv is assigned the value |f(u)-f(v)| then the edge labels are distinct numbers of the set consistin... | https://arxiv.org/abs/2312.16235v1 |
Here, we prove that $0-$shake slice knots are slice. | https://arxiv.org/abs/2012.11176v2 |
A proof that $0-$shake slice knots are slice. | https://arxiv.org/abs/2104.00247v2 |
One common method for stabilizing robots after a push is the Instantaneous Capture Point, however, this has the fundamental limitation of assuming constant height. Although there are several works for balancing bipedal robots including height variations in 2D, the amount of literature on 3D models is limited. There are... | https://arxiv.org/abs/1912.06078v1 |
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