pinecone/core-2020-05-10-deduplication huggingface dataset:
Coherence in complex networks of oscillators

We study fully synchronized (coherent) states in complex networks of chaotic
oscillators, reviewing the analytical approach of determining the stability
conditions for synchronizability and comparing them with numerical criteria. As
an example, we present detailed results for networks of chaotic logistic maps
having three different scale-free topologies: random scale-free topology,
deterministic pseudo-fractal scale-free network and Apollonian network. For
random scale-free topology we find that the lower boundary of the
synchronizability region scales approximately as $k^{-\mu}$, where $k$ is the
outgoing connectivity and $\mu$ depends on the local nonlinearity. For
deterministic scale-free networks coherence is observed only when the coupling
is heterogeneous, namely when it is proportional to some power of the neighbor
connectivity. In all cases, stability conditions are determined from the
eigenvalue spectrum of the Laplacian matrix and agree well with numerical
results based on histograms of coherent states in parameter space.
Additionally, we show that almost everywhere in the synchronizability region
the basin of attraction of coherent states fills the entire phase space, and
that the transition to coherence is of first-order.Comment: Proceedings of the conference Verhulst200, to appear in
  Springer-Verlag; 12 pages, 11 figure
Terminology extraction: an analysis of linguistic and statistical approaches

Are linguistic properties and behaviors important to recognize terms? Are statistical measures effective to extract terms? Is it possible to capture a sort of termhood with computation linguistic techniques? Or maybe, terms are too much sensitive to exogenous and pragmatic factors that cannot be confined in computational linguistic? All these questions are still open. This study tries to contribute in the search of an answer, with the belief that it can be found only through a careful experimental analysis of real case studies and a study of their correlation with theoretical insights
On the choice of the shunt circuit for single-mode vibration damping of piezoactuated structures

This paper deals with single-mode passive damping of piezoactuated structures. The problem of shunting in the best way a piezoelectric actuator is discussed, and a new passive shunt circuit, given by the parallel of an inductance and a capacitance in series to a resistance, is here proposed. For a su±ciently high piezoelectric coupling coe±cient, it is analytically shown to be more performant than the classical resistive-inductive shunt circuit, in the sense that it guarantees an higher exponential time decay rate of the free vibrations
Local states of free bose fields

These notes contain an extended version of lectures given at the ``Summer
School on Large Coulomb Systems'' in Nordfjordeid, Norway, in august 2003. They
furnish a short introduction to the theory of quantum harmonic systems, or free
bose fields. The main issue addressed is the one of local states. I will adopt
the definition of Knight of ``strictly local excitation of the vacuum'' and
will then state and prove a generalization of Knight's Theorem which asserts
that finite particle states cannot be perfectly localized. It will furthermore
be explained how Knight's a priori counterintuitive result can be readily
understood if one remembers the analogy between finite and infinite dimensional
harmonic systems alluded to above. I will also discuss the link between the
above result and the so-called Newton-Wigner position operator thereby
illuminating, I believe, the difficulties associated with the latter. I will in
particular argue that those difficulties do not find their origin in special
relativity or in any form of causality violation, as is usually claimed
Some Recent Advances in Measurement Error Models and Methods

A measurement error model is a regression model with (substantial) measurement errors in the variables. Disregarding these measurement errors in estimating the regression parameters results in asymptotically biased estimators. Several methods have been proposed to eliminate, or at least to reduce, this bias, and the relative efficiency and robustness of these methods have been compared. The paper gives an account of these endeavors. In another context, when data are of a categorical nature, classification errors play a similar role as measurement errors in continuous data. The paper also reviews some recent advances in this field.
Tectonic model for development of the Byrd Glacier discontinuity and surrounding regions of the Transantarctic Mountains during Neoproterozoic-Early Paleozoic

The Byrd Glacier discontinuity us a major boundary crossing the Ross Orogen, with crystalline rocks to the north and primarily sedimentary rocks to the south. Most models for the tectonic development of the Ross Orogen in the central Transantarctic Mountains consits of two-dimensional transects across the belt, but do not adress the major longitudinal contrast at Byrd Glacier. This paper presents a tectonic model centering on the Byrd Glacier discontinuity. Rifting in the Neoproterozoic producede a crustal promontory in the craton margin to the north of Byrd Glacier. Oblique convergence of the terrane (Beardmore microcontinent) during the latest Neroproterozoic and Early Cambrian was accompanied by subduction along the craton margin of East Antarctica. New data presented herein in the support of this hypothesis are U-Pb dates of 545.7 ± 6.8 Ma and 531.0 ± 7.5 Ma on plutonic rocks from the Britannia Range, subduction stepped out, and Byrd Glacier. After docking of the terrane, subduction stepped out, and Byrd Group was deposited during the Atdabanian-Botomian across the inner margin of the terrane. Beginning in the upper Botomian, reactivation of the sutured boundaries of the terrane resulted in an outpouring of clastic sediment and folding and faulting of the Byrd Group
Style of uplift of Paleozoic terranes in northern Victoria Land, Antarctica: evidence from K-Ar age patterns

K-Ar ages of 82 slate and schist (white-mica-rich whole-rock) samples are reported for Late Precambrian-Early Ordovician metamorphic rocks of the Wilson, Bowers and Robertson Bay terranes of northern Victoria Land. These are amalgamated in two vertical sections along composite NE-SW horizontal profiles across (1) Oates Coast in the north, and (2) Terra Nova Bay area in the south. The ages are in the range 328517 Ma. Both profiles show some age variation with altitude, but more importantly, they define an inverted wedge shaped pattern, reflecting a pop-up structure. This is oriented NW-SE at the eastern margin of the Wilson terrane, and the edges coincide with the Exiles and Wilson Thrusts which cross the region. Ages inside the pop-up structure are younger, ca. 460480 Ma, than those along its eastern and western flanks, ca. 490520 Ma. The K-Ar age patterns thus demonstrate a late Ross Orogenic age (ca. 460 Ma) for this structure, which may be associated with assembly of the Wilson and Bowers terranes
Tectonic Subdivision of the Prince Charles Mountains: A Review of Geologic and Isotopic Data

The Prince Charles Mountains have been subject to extensive geological and geophysical investigations by former Soviet, Russian and Australian scientists from the early 1970s. In this paper we summarise, and review available geological and isotopic data, and report results of new isotopic studies (Sm-Nd, Pb-Pb, and U-Pb SHRIMP analyses); field geological data obtained during the PCMEGA 2002/2003 are utilised. The structure of the region is described in terms of four tectonic terranes. Those include Archaean Ruker, Palaeoproterozoic Lambert, Mesoproterozoic Fisher, and Meso- to Neoproterozoic Beaver Terranes. Pan-African activities (granite emplacement and probably tectonics) in the Lambert Terrane are reported. We present a summary of the composition of these terranes, discuss their origin and relationships. We also outline the most striking geological features, and problems, and try to draw attention to those rocks and regional geological features which are important in understanding the composition and evolution of the PCM and might suggest targets for further investigations
Multi-objective optimisation for receiver operating characteristic analysis

Copyright © 2006 Springer-Verlag Berlin Heidelberg. The final publication is available at link.springer.comBook title: Multi-Objective Machine LearningSummary
Receiver operating characteristic (ROC) analysis is now a standard tool for the comparison of binary classifiers and the selection operating parameters when the costs of misclassification are unknown.
This chapter outlines the use of evolutionary multi-objective optimisation techniques for ROC analysis, in both its traditional binary classification setting, and in the novel multi-class ROC situation.
Methods for comparing classifier performance in the multi-class case, based on an analogue of the Gini coefficient, are described, which leads to a natural method of selecting the classifier operating point. Illustrations are given concerning synthetic data and an application to Short Term Conflict Alert
Regression Error Characteristic Optimisation of Non-Linear Models.

Copyright © 2006 Springer-Verlag Berlin Heidelberg. The final publication is available at link.springer.comBook title: Multi-Objective Machine LearningIn this chapter recent research in the area of multi-objective optimisation of regression models is presented and combined. Evolutionary multi-objective optimisation techniques are described for training a population of regression models to optimise the recently defined Regression Error Characteristic Curves (REC). A method which meaningfully compares across regressors and against benchmark models (i.e. ‘random walk’ and maximum a posteriori approaches) for varying error rates. Through bootstrapping training data, degrees of confident out-performance are also highlighted
Thermal noise properties of two aging materials

In this lecture we review several aspects of the thermal noise properties in
two aging materials: a polymer and a colloidal glass.
  The measurements have been performed after a quench for the polymer and
during the transition from a fluid-like to a solid-like state for the gel. Two
kind of noise has been measured: the electrical noise and the mechanical noise.
  For both materials we have observed that the electric noise is characterized
by a strong intermittency, which induces a large violation of the Fluctuation
Dissipation Theorem (FDT) during the aging time, and may persist for several
hours at low frequency. The statistics of these intermittent signals and their
dependance on the quench speed for the polymer or on sample concentration for
the gel are studied. The results are in a qualitative agreement with recent
models of aging, that predict an intermittent dynamics. For the mechanical
noise the results are unclear. In the polymer the mechanical thermal noise is
still intermittent whereas for the gel the violation of FDT, if it exists, is
extremely small.Comment: to be published in the Proceedings of the XIX Sitges Conference on
  ''Jammming, Yielding and Irreversible Deformation in Condensed Matter'',
  M.-C.Miguel and M. Rubi eds.,Springer Verlag, Berli
Depinning and plasticity of driven disordered lattices

We review in these notes the dynamics of extended condensed matter systesm,
such as vortex lattices in type-II superconductors and charge density waves in
anisotropic metals, driven over quenched disorder. We focus in particular on
the case of strong disorder, where topological defects are generated in the
driven lattice. In this case the repsonse is plastic and the depinning
transition may become discontinuous and hysteretic.Comment: 21 pages, 6 figures. Proceedings the XIX Sitges Conference on
  Jamming, Yielding, and Irreversible Deformations in Condensed Matter, Sitges,
  Barcelona, Spain, June 14-18, 200
A Journey Through Garden Algebras

The main purpose of these lectures is to give a pedagogical overview on the
possibility to classify and relate off-shell linear supermultiplets in the
context of supersymmetric mechanics. A special emphasis is given to a recent
graphical technique that turns out to be particularly effective for describing
many aspects of supersymmetric mechanics in a direct and simplifying way.Comment: 50 pages, based on lectures delivered at the Winter School on Modern
  Trends in Supersymmetric Mechanics 7 - 12 March 2005, Frascati, Ital
Supersymmetric Mechanics in Superspace

These Lectures have been given at Laboratori Nazionali di Frascati in the
month of March, 2005. The main idea was to provide our young collegues, who
joined us in our attempts to understand the structure of $N$-extended
supersymmetric one-dimensional systems, with short descriptions of the methods
and techniques we use. This was reflected in the choice of material and in the
style of presentation. We base our treatment mainly on the superfield point of
view. Moreover, we prefer to deal with N=4 and N=8 superfields. At present, the
exists an extensive literature on the components approach to extended
supersymmetric theories in $d=1$ while the manifestly supersymmetric
formulation in terms of properly constrained superfields is much less known.
Nevertheless, we believe that just such formulations are preferable.
  In order to make these Lectures more or less self-consistent, we started from
the simplest examples of one-dimensional supersymmetric theories and paid a lot
of attention to the peculiarities of $d=1$ supersymmetry. From time to time we
presented the calculations in a very detailed way. In other cases we omitted
the details and gave only the final answers. In any case these Lectures cannot
be considered as a textbook in any respect. They can be considered as our
personal point of view on the one-dimensional superfield theories and on the
methods and techniques we believe to be important.
  Especially, all this concerns Section 3, were we discuss the nonlinear
realizations method. We did not present any proofs in this Section. Instead we
focused on the details of calculations.
  Finally, we apologize for the absolutely incomplete list of References
Noncommutative mechanics, Landau levels, twistors and Yang-Mills
  amplitudes

These lectures fall into two distinct, although tenouously related, parts.
The first part is about fuzzy and noncommutative spaces, and particle mechanics
on such spaces, in other words, noncommutative mechanics. The second part is a
discussion/review of twistors and how they can be used in the calculation of
Yang-Mills amplitudes. The point of connection between these two topics,
discussed in the last section, is in the realization of holomorphic maps as the
lowest Landau level wave functions, or as wave functions of the Hilbert space
used for the fuzzy version of the two-sphere. This article is based on lectures
presented at the conference on Higher Dimensional Quantum Hall Effect and
Noncommutative Geometry, Trieste, March 2005, Winter School on Modern Trends in
Supersymmetric Mechanics, Frascati, March 2005 and the
Montreal-Rochester-Syracuse-Toronto Conference 2005, Utica, May 2005.Comment: 44 pages, LaTeX, lectures at conference
Elements of (super-)Hamiltonian Formalism

In these lectures we discuss some basic aspects of Hamiltonian formalism,
which usually do not appear in standard texbooks on classical mechanics for
physicists. We pay special attention to the procedure of Hamiltonian reduction
illustrating it by the examples related to Hopf maps. Then we briefly discuss
the supergeneralisation(s) of the Hamiltonian formalism and present some simple
models of supersymmetric mechanics on K\"ahler manifolds.Comment: Lectures given at the Winter School on Modern Trends in
  Supersymmetric Mechanics, March 2005 Frascati; misprints correcte
Ordering of Energy Levels in Heisenberg Models and Applications

In a recent paper we conjectured that for ferromagnetic Heisenberg models the
smallest eigenvalues in the invariant subspaces of fixed total spin are
monotone decreasing as a function of the total spin and called this property
ferromagnetic ordering of energy levels (FOEL). We have proved this conjecture
for the Heisenberg model with arbitrary spins and coupling constants on a
chain. In this paper we give a pedagogical introduction to this result and also
discuss some extensions and implications. The latter include the property that
the relaxation time of symmetric simple exclusion processes on a graph for
which FOEL can be proved, equals the relaxation time of a random walk on the
same graph. This equality of relaxation times is known as Aldous' Conjecture.Comment: 20 pages, contribution for the proceedings of QMATH9, Giens,
  September 200
Resonance- and Chaos-Assisted Tunneling

We consider dynamical tunneling between two symmetry-related regular islands
that are separated in phase space by a chaotic sea. Such tunneling processes
are dominantly governed by nonlinear resonances, which induce a coupling
mechanism between ``regular'' quantum states within and ``chaotic'' states
outside the islands. By means of a random matrix ansatz for the chaotic part of
the Hamiltonian, one can show that the corresponding coupling matrix element
directly determines the level splitting between the symmetric and the
antisymmetric eigenstates of the pair of islands. We show in detail how this
matrix element can be expressed in terms of elementary classical quantities
that are associated with the resonance. The validity of this theory is
demonstrated with the kicked Harper model.Comment: 25 pages, 5 figure
The Object Management Group Ontology Definition Metamodel

Report of a submission being made to a major international software engineering standards group, the Object Management Group which ties together OMG standards with World-Wide Web Consortium and International Standards Organization standards. Major industry bodies including IBM are collaborating, and the submission has the support of 24 companies. OMG, W3C and ISO standards strongly influence the industry, especially in combination. Colomb was a major contributor, responsible for 30% of the submission, and the primary author of the paper
Doubly Special Relativity as a Limit of Gravity

Doubly Special Relativity (DSR) is a theory with two observer-independent
scales, of velocity and mass, which is expected to replace Special Relativity
at ultra-high energies. In these notes we first discuss the postulates of DSR,
and then turn to presenting arguments supporting the hypothesis that DSR can be
regarded as a flat space, semiclassical limit of gravity. The notes are based
on the talk presented at the conference ``Special Relativity -- Will it Survive
the Next 100 Years?''Comment: 26 pages, Submitted to Lecture Notes in Physic
Corrections to flat-space particle dynamics arising from space
  granularity

The construction of effective Hamiltonians describing corrections to flat
space particle dynamics arising from the granularity of space at very short
distances is discussed in the framework of an heuristic approach to the
semiclassical limit of loop quantum gravity. After some general motivation of
the subject, a brief non-specialist introduction to the basic tools employed in
the loop approach is presented. The heuristical semiclassical limit is
subsequently defined and the application to the case of photons and spin 1/2
fermions is described. The resulting modified Maxwell and Dirac Hamiltonians,
leading in particular to Planck scale corrections in the energy-momentum
relations, are presented. Alternative interpretations of the results and their
limitations, together with other approaches are briefly discussed along the
text. Three topics related to the above methods are reviewed: (1) The
determination of bounds to the Lorentz violating parameters in the fermionic
sector, obtained from clock comparison experiments.(2) The calculation of
radiative corrections in preferred frames associated to space granularity in
the framework of a Yukawa model for the interactions and (3) The calculation of
synchrotron radiation in the framework of the Myers-Pospelov effective theories
describing Lorentz invariance violations, as well as a generalized approach to
radiation in Planck scale modified electrodynamics. The above exploratory
results show that quantum gravity phenomenology provides observational guidance
in the construction of quantum gravity theories and opens up the possibility of
probing Planck scale physics.Comment: 49 pages, 6 figures and 4 tables. Extended version of the talk given
  at the 339-th WE-Heraeus-Seminar: Special Relativity, will it survive the
  next 100 years?, Potsdam, february 200
Rotating Resonator-Oscillator Experiments to Test Lorentz Invariance in
  Electrodynamics

In this work we outline the two most commonly used test theories (RMS and
SME) for testing Local Lorentz Invariance (LLI) of the photon. Then we develop
the general framework of applying these test theories to resonator experiments
with an emphasis on rotating experiments in the laboratory. We compare the
inherent sensitivity factors of common experiments and propose some new
configurations. Finally we apply the test theories to the rotating cryogenic
experiment at the University of Western Australia, which recently set new
limits in both the RMS and SME frameworks [hep-ph/0506074].Comment: Submitted to Lecture Notes in Physics, 36 pages, minor modifications,
  updated list of reference
Recent Experimental Tests of Special Relativity

We review our recent Michelson-Morley (MM) and Kennedy-Thorndike (KT)
experiment, which tests Lorentz invariance in the photon sector, and report
first results of our ongoing atomic clock test of Lorentz invariance in the
matter sector. The MM-KT experiment compares a cryogenic microwave resonator to
a hydrogen maser, and has set the most stringent limit on a number of
parameters in alternative theories to special relativity. We also report first
results of a test of Lorentz invariance in the SME (Standard Model Extension)
matter sector, using Zeeman transitions in a laser cooled Cs atomic fountain
clock. We describe the experiment together with the theoretical model and
analysis. Recent experimental results are presented and we give a first
estimate of components of the $\tilde{c}^p$ parameters of the SME matter
sector. A full analysis of systematic effects is still in progress, and will be
the subject of a future publication together with our final results. If
confirmed, the present limits would correspond to first ever measurements of
some $\tilde{c}^p$ components, and improvements by 11 and 14 orders of
magnitude on others.Comment: 29 pages. Contribution to Springer Lecture Notes, "Special Relativity
  - Will it survive the next 100 years ?", Proceedings, Potsdam, 200
Algebraic and geometric structures of Special Relativity

I review, some of the algebraic and geometric structures that underlie the
theory of Special Relativity. This includes a discussion of relativity as a
symmetry principle, derivations of the Lorentz group, its composition law, its
Lie algebra, comparison with the Galilei group, Einstein synchronization, the
lattice of causally and chronologically complete regions in Minkowski space,
rigid motion (the Noether-Herglotz theorem), and the geometry of rotating
reference frames. Representation-theoretic aspects of the Lorentz group are not
included. A series of appendices present some related mathematical material.Comment: 66 pages, 4 figures; v2 references added, misprints correcte
Vacuum Fluctuations, Geometric Modular Action and Relativistic Quantum
  Information Theory

A summary of some lines of ideas leading to model-independent frameworks of
relativistic quantum field theory is given. It is followed by a discussion of
the Reeh-Schlieder theorem and geometric modular action of Tomita-Takesaki
modular objects associated with the quantum field vacuum state and certain
algebras of observables. The distillability concept, which is significant in
specifying useful entanglement in quantum information theory, is discussed
within the setting of general relativistic quantum field theory.Comment: 26 pages. Contribution for the Proceedings of a Conference on Special
  Relativity held at Potsdam, 200