Results for "Dominik Mercier"

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Continuity results for TV-minimizersMay 31 2016This paper deals with continuity preservation when minimizing generalized total variation with a $L^2$ fidelity term or a Dirichlet boundary condition. We extend several recent results in the two cases, mainly by showing comparison principles for the ... More
Dynamic Erdös- Rényi random graph with forbidden degreeFeb 26 2016As suggested by Itai Benjamini, we introduced a variant of the Erd\"os- R\'enyi random graph process with a forbidden degree $k$, in which every edge adjacent to a vertex $v$ is removed when the degree of $v$ reaches $k$ (but the removed edges may very ... More
Global smooth solutions of Euler equations for Van der Waals gasesMar 25 2010We prove global in time existence of solutions of the Euler compressible equations for a Van der Waals gas when the density is small enough in $\H{m}$, for $m$ large enough. To do so, we introduce a specific symmetrisation allowing areas of null density. ... More
Classical solutions in the Einstein-Born-Infeld-Abelian-Higgs modelFeb 01 2001Feb 20 2001We consider the classical equations of the Born-Infeld-Abelian-Higgs model (with and without coupling to gravity) in an axially symmetric ansatz. A numerical analysis of the equations reveals that the (gravitating) Nielsen-Olesen vortices are smoothly ... More
Mean curvature flow with obstacles: existence, uniqueness and regularity of solutionsSep 25 2014We show short time existence and uniqueness of $\C^{1,1}$ solutions to the mean curvature flow with obstacles, when the obstacles are of class $\C^{1,1}$. If the initial interface is a periodic graph we show long time existence of the evolution and convergence ... More
National Bias of International Gymnastics Judges during the 2013-2016 Olympic CycleJul 26 2018Jul 27 2018National bias in sports judging is a well-known issue and has been observed in several sports: judges, in the aggregate, give higher marks to athletes of the same nationality. In this work, we study the national bias of international gymnastics judges ... More
Non uniform stability for the Timoshenko beam with tip loadJul 02 2015In this paper we consider a hybrid elastic model consisting of a Timoshenko beam and a tip load at the free end of the beam. Under the equal speed wave propagation condition, we show polynomial decay for the model which includes the rotary inertia of ... More
Improvements on the distribution of maximal segmental scores in a Markovian sequenceMar 07 2018Let $(A_i)_{i \geq 0}$ be a finite state irreducible aperiodic Markov chain and $f$ a lattice score function such that the average score is negative and positive scores are possible. Define $S_0:=0$ and $S_k:=\sum_{i=1}^k f(A_i)$ the successive partial ... More
Conservation laws with a nonlocal flow, Application to pedestrian trafficNov 30 2011In this note, we introduce some models of pedestrian traffic and prove existence and uniqueness for these models.
Influence of dimension on the convergence of level-sets in total variation regularizationNov 29 2018Apr 26 2019We extend some recent results on the Hausdorff convergence of level-sets for total variation regularized linear inverse problems. Dimensions higher than two and measurements in Banach spaces are considered. We investigate the relation between the dimension ... More
Influence of dimension on the convergence of level-sets in total variation regularizationNov 29 2018May 15 2019We extend some recent results on the Hausdorff convergence of level-sets for total variation regularized linear inverse problems. Dimensions higher than two and measurements in Banach spaces are considered. We investigate the relation between the dimension ... More
TSViz: Demystification of Deep Learning Models for Time-Series AnalysisFeb 08 2018This paper presents a novel framework for demystification of convolutional deep learning models for time series analysis. This is a step towards making informed/explainable decisions in the domain of time series, powered by deep learning. There have been ... More
TSViz: Demystification of Deep Learning Models for Time-Series AnalysisFeb 08 2018Dec 13 2018This paper presents a novel framework for demystification of convolutional deep learning models for time-series analysis. This is a step towards making informed/explainable decisions in the domain of time-series, powered by deep learning. There have been ... More
Définition d'une structure adaptative de réseau local sans fil à consommation optimiséeJun 11 2008The strong growth of low rate wireless personal area networks (LR-WPAN), leads us to consider the autonomy problems, thus node lifetime in a network, knowing that the power supplies replacement is often difficult to realize. The inherent mobility in this ... More
Numerical investigation of acoustic solitonsDec 05 2014Acoustic solitons can be obtained by considering the propagation of large amplitude sound waves across a set of Helmholtz resonators. The model proposed by Sugimoto and his coauthors has been validated experimentally in previous works. Here we examine ... More
Orbit determination for next generation space clocksAug 17 2007May 03 2009Over the last decade of the 20th century and the first few years of the 21st, the uncertainty of atomic clocks has decreased by about two orders of magnitude, passing from the low 10^-14 to below 10^-16, in relative frequency . Space applications in fundamental ... More
Revisiting the method of characteristics via a convex hull algorithmSep 01 2014We revisit the method of characteristics for shock wave solutions to nonlinear hyperbolic problems and we describe a novel numerical algorithm - the convex hull algorithm (CHA) - in order to compute, both, entropy dissipative solutions (satisfying all ... More
An algorithm (CoDeFi) for the curse of dimensionality in financeJun 30 2016We present a new algorithm (CoDeFi) to tackle the Curse Of Dimensionality In Finance and deal with a broad class of partial differential equations including the Kolmogorov equations as, for instance, the Black and Scholes equations. As a main feature, ... More
An Analytical Framework to Describe the Interactions Between Individuals and a ContinuumOct 05 2010We consider a discrete set of individual agents interacting with a continuum. Examples might be a predator facing a huge group of preys, or a few shepherd dogs driving a herd of sheeps. Analytically, these situations can be described through a system ... More
Optimal epidemic disseminationSep 01 2017We consider the problem of reliable epidemic dissemination of a rumor in a fully connected network of~$n$ processes using push and pull operations. We revisit the random phone call model and show that it is possible to disseminate a rumor to all processes ... More
Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluidFeb 21 2018Oct 09 2018We consider the flow of multiple particles in a Bingham fluid in an anti-plane shear flow configuration. The limiting situation in which the internal and applied forces balance and the fluid and particles stop flowing, that is, when the flow settles, ... More
On the Computational Power of Molecular Heat EnginesFeb 02 2005A heat engine is a machine which uses the temperature difference between a hot and a cold reservoir to extract work. Here both reservoirs are quantum systems and a heat engine is described by a unitary transformation which decreases the average energy ... More
Quantum algorithm for measuring the energy of n qubits with unknown pair-interactionsAug 10 2001The well-known algorithm for quantum phase estimation requires that the considered unitary is available as a conditional transformation depending on the quantum state of an ancilla register. We present an algorithm converting an unknown n-qubit pair-interaction ... More
Satisfiability of Almost Disjoint CNF FormulasJul 08 2008Jul 10 2008We call a CNF formula linear if any two clauses have at most one variable in common. Let m(k) be the largest integer m such that any linear k-CNF formula with <= m clauses is satisfiable. We show that 4^k / (4e^2k^3) <= m(k) < ln(2) k^4 4^k. More generally, ... More
Using a Skewed Hamming Distance to Speed Up Deterministic Local SearchMay 26 2010Schoening presents a simple randomized algorithm for (d,k)-CSP problems with running time (d(k-1)/k)^n poly(n). Here, d is the number of colors, k is the size of the constraints, and n is the number of variables. A derandomized version of this, given ... More
How many phases meet at the chiral critical point?Feb 10 2009Aug 25 2009We explore the phase diagram of NJL-type models near the chiral critical point allowing for phases with spatially inhomogeneous chiral condensates. In the chiral limit it turns out that the region in the mean-field phase diagram where those phases are ... More
A Lensing View On The Fundamental PlaneAug 05 2009For lensing galaxies we introduce a formal velocity dispersion sigma_lens, based on enclosed mass and the virial theorem. This is calculated from an ensemble of pixelated lens models, and found to be fairly model independent. A sample of 18 well-known ... More
Vertex-Detector R&D for CLICDec 19 2013A detector concept based on hybrid planar pixel-detector technology is under development for the CLIC vertex detector. It comprises fast, low-power and small-pitch readout ASICs implemented in 65 nm CMOS technology (CLICpix) coupled to ultra-thin sensors ... More
Probing Extra Dimensions with ATLASNov 02 2006In the late nineties several authors suggested that the extra dimensions predicted by string theory might lead to observable effects at high energy colliders. The ATLAS experiment which will start taking data at the LHC in 2007 will be an excellent place ... More
Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-MillsOct 07 2008We perform simulations of an effective theory of SU(2) Wilson lines in three dimensions. Our action includes a kinetic term, the one-loop perturbative potential for the Wilson line, a non-perturbative "fuzzy-bag" contribution and spatial gauge fields. ... More
On Uniqueness of Weak Solutions for the Thin-Film EquationOct 23 2013In any number of space variables, we study the Cauchy problem related to the thin-film equation in the simplest case of a linearly degenerate mobility. This equation, derived from a lubrication approximation, also models the surface tension dominated ... More
Single-Peakedness and Total Unimodularity: Efficiently Solve Voting Problems Without Even TryingSep 12 2016Many NP-hard winner determination problems admit polynomial-time algorithms when restricting inputs to be single-peaked. Commonly, such algorithms employ dynamic programming along the underlying axis. We introduce a new technique: carefully chosen integer ... More
Modeling Cognitive Processes in Social Tagging to Improve Tag RecommendationsMay 30 2018With the emergence of Web 2.0, tag recommenders have become important tools, which aim to support users in finding descriptive tags for their bookmarked resources. Although current algorithms provide good results in terms of tag prediction accuracy, they ... More
Groups with graphical C(6) and C(7) small cancellation presentationsSep 30 2012Jul 24 2014We extend fundamental results of small cancellation theory to groups whose presentations satisfy the generalizations of the classical C(6) and C(7) conditions in graphical small cancellation theory. Using these graphical small cancellation conditions, ... More
Automorphism Supergroups Of SupermanifoldsApr 10 2015A classical theorem states that the group of automorphisms of a manifold $M$ preserving a $G$-structure of finite type is a Lie group. We generalize this statement to the category of $cs$ manifolds and give some examples, some of which being generalizations ... More
Search for single-top production with the ZEUS detector at HERAAug 23 2003A search for anomalous single-top production, ep -> etX, t -> Wb, has been made with the ZEUS detector at HERA using an integrated luminosity of 130 pb^-1. No evidence for top-quark production was found in either the leptonic or the hadronic decay channel ... More
Revealing stellar brightness profiles by means of microlensing fold causticsFeb 24 2004Jun 23 2004With a handful of measurements of limb-darkening coefficients, galactic microlensing has already proven to be a powerful technique for studying atmospheres of distant stars. Survey campaigns such as OGLE-III are capable of providing ~ 10 suitable target ... More
Determining the abundance of extragalactic planetsSep 23 2003Oct 23 2003Gravitational microlensing provides a unique technique to reveal information about extragalactic planets. A network of at least four 2m-class telescopes distributed around the northern hemisphere could probe 15-35 jupiters and 4-10 saturns around M31 ... More
The binary gravitational lens and its extreme casesMar 01 1999Sep 10 1999The transition of the binary gravitational lens from the equal mass case to small (planetary) mass ratios q is studied. It is shown how the limit of a (pure shear) Chang-Refsdal lens is approached, under what conditions the Chang-Refsdal approximation ... More
$Σ_2^p$-complete Problems on Hedonic GamesSep 08 2015Hedonic games provide a general model of coalition formation, in which a set of agents is partitioned into coalitions, with each agent having preferences over which other players are in her coalition. We prove that with additively separable preferences, ... More
Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson modelJun 29 2009We discuss inhomogeneous ground states of the Nambu-Jona-Lasino (NJL) and quark-meson (QM) model within mean-field approximation and their possible existence in the respective phase diagrams. For this purpose we focus on lower dimensional modulations ... More
Unsatisfiable Linear k-CNFs Exist, for every kAug 17 2007We call a CNF formula linear if any two clauses have at most one variable in common. Let Linear k-SAT be the problem of deciding whether a given linear k-CNF formula is satisfiable. Here, a k-CNF formula is a CNF formula in which every clause has size ... More
PPZ For More Than Two Truth Values - An Algorithm for Constraint Satisfaction ProblemsOct 27 2010We analyze the so-called ppz algorithm for (d,k)-CSP problems for general values of d (number of values a variable can take) and k (number of literals per constraint). To analyze its success probability, we prove a correlation inequality for submodular ... More
Is there a physically universal cellular automaton or Hamiltonian?Sep 09 2010It is known that both quantum and classical cellular automata (CA) exist that are computationally universal in the sense that they can simulate, after appropriate initialization, any quantum or classical computation, respectively. Here we introduce a ... More
Corrections of Order $αα_s$ to W Boson DecaysJul 26 2013Nov 30 2015We present the calculation of the mixed two-loop QCD/electroweak corrections to hadronic W boson decays within the Standard Model. The optical theorem is applied to the W boson two-point function. The multi-scale integrals are computed with the help of ... More
Closing in on Time and Space Optimal Construction of Compressed IndexesDec 13 2017Apr 21 2018The invention of the FM-index [FOCS 2000] and the compressed suffix array [STOC 2000] have revolutionized the field of string algorithms for nearly two decades. These indexes are now mature and widespread, both in theory where they provide an off-the-shelf ... More
Trends in storm surge probability of occurrence along the Polish Baltic Sea coastOct 09 2014When assessing the hazard brought by storm surges on the coast, a frequency analysis is often conducted. An issue of particular concern is the sea level rise (SLR), thought to have an impact on maximum water levels. In this study, three gauge stations ... More
Simple negative result for physically universal controllers with macroscopic interfaceApr 16 2018To study potential limitations of controllability of physical systems I have earlier proposed physically universal cellular automata and Hamiltonians. These are translation invariant interactions for which any control operation on a finite target region ... More
Merging joint distributions via causal model classes with low VC dimensionApr 09 2018May 17 2018If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal inference can help inferring properties of the 'unobserved joint distributions' $P_{X,Y,Z}$ or ... More
Recognising Multidimensional Euclidean PreferencesFeb 25 2016Euclidean preferences are a widely studied preference model, in which decision makers and alternatives are embedded in d-dimensional Euclidean space. Decision makers prefer those alternatives closer to them. This model, also known as multidimensional ... More
Discontinuities of the quantum Fisher information and the Bures metricDec 14 2016May 12 2017We show that two quantities in quantum metrology that were thought to be the same, the quantum Fisher information matrix and the Bures metric, are not the same. They differ at points at which the rank of the density matrix changes. The quantum Fisher ... More
Inference for Sparse and Dense Functional Data with Covariate AdjustmentsJan 28 2016Feb 27 2018We consider inference for the mean and covariance functions of covariate adjusted functional data using Local Linear Kernel (LLK) estimators. By means of a double asymptotic, we differentiate between sparse and dense covariate adjusted functional data ... More
Condorcet's Principle and the Preference Reversal ParadoxJul 27 2017We prove that every Condorcet-consistent voting rule can be manipulated by a voter who completely reverses their preference ranking, assuming that there are at least 4 alternatives. This corrects an error and improves a result of [Sanver, M. R. and Zwicker, ... More
Non-Autonomous Forms and InvarianceSep 13 2016We generalize the Beurling--Deny--Ouhabaz criterion for parabolic evolution equations governed by forms to the non-autonomous, non-homogeneous and semilinear case. Let $V, H$ are Hilbert spaces such that $V$ is continuously and densely embedded in $H$ ... More
Standard Special Generic Maps of Homotopy Spheres into Euclidean SpacesJul 26 2017Aug 03 2017A so-called special generic map is by definition a map of smooth manifolds all of whose singularities are definite fold points. It is in general an open problem posed by Saeki in 1993 to determine the set of integers $p$ for which a given homotopy sphere ... More
Decomposition of time-covariant operations on quantum systems with continuous and/or discrete energy spectrumJul 19 2004Sep 30 2004Every completely positive map G that commutes which the Hamiltonian time evolution is an integral or sum over (densely defined) CP-maps G_\sigma where \sigma is the energy that is transferred to or taken from the environment. If the spectrum is non-degenerated ... More
(g-2)_mu and supersymmetry: status and prospectsOct 12 2007The experimental determination of the muon magnetic moment and its theoretical prediction within the Standard Model and the MSSM are reviewed. A 3 sigma deviation between experiment and Standard Model prediction has been established, and supersymmetry ... More
On causally asymmetric versions of Occam's Razor and their relation to thermodynamicsAug 24 2007Jan 30 2009In real-life statistical data, it seems that conditional probabilities for the effect given their causes tend to be less complex and smoother than conditionals for causes, given their effects. We have recently proposed and tested methods for causal inference ... More
On the entropy production of time series with unidirectional linearityAug 13 2009There are non-Gaussian time series that admit a causal linear autoregressive moving average (ARMA) model when regressing the future on the past, but not when regressing the past on the future. The reason is that, in the latter case, the regression residuals ... More
Equivariant $Γ$-spacesApr 30 2014The aim of this note is to provide a comprehensive treatment of the homotopy theory of $\Gamma$-$G$-spaces for $G$ a finite group. We introduce two level and stable model structures on $\Gamma$-$G$-spaces and exhibit Quillen adjunctions to $G$-symmetric ... More
Topological entropy and distributional chaos in hereditary shifts with applications to spacing shifts and beta shiftsNov 01 2011Jan 08 2012Positive topological entropy and distributional chaos are characterized for hereditary shifts. A hereditary shift has positive topological entropy if and only if it is DC2-chaotic (or equivalently, DC3-chaotic) if and only if it is not uniquely ergodic. ... More
Infinitely presented C(6)-groups are SQ-universalNov 26 2014We prove that infinitely presented classical $C(6)$ small cancellation groups are SQ-universal. We extend the result to graphical $Gr_*(6)$-groups over free products. For every $p\in\mathbb{N}$, we construct uncountably many pairwise non-quasi-isometric ... More
A nonparametric test for a constant correlation matrixOct 04 2012Oct 27 2014We propose a nonparametric procedure to test for changes in correlation matrices at an unknown point in time. The new test requires only mild assumptions on the serial dependence structure and has considerable power in finite samples. We derive the asymptotic ... More
The Zak transform on strongly proper $G$-spaces and its applicationsMay 17 2016The Zak transform on $\mathbb{R}^d$ is an important tool in condensed matter physics, signal processing, time-frequency analysis, and harmonic analysis in general. This article introduces a generalization of the Zak transform to a class of locally compact ... More
Quantum thermodynamics with missing reference frames: Decompositions of free energy into non-increasing componentsNov 30 2005If an absolute reference frame with respect to time, position, or orientation is missing one can only implement quantum operations which are covariant with respect to the corresponding unitary symmetry group G. Extending observations of Vaccaro et al., ... More
Some Considerations on the Additional Absorption Peak in the c-axis Conductivity of Bilayer Cuprate Superconductors: Interpretation of the Changes Induced by a Parallel Magnetic Field and the Role of Bilayer SplittingAug 02 2004Changes of the 400 cm^{-1} peak in the c-axis conductivity of underdoped YBa2Cu3O6.6 upon application of a parallel magnetic field reported by Kojima et al. are shown to be consistent with the model where the peak is due to the superfluid. Results of ... More
Note on a Conjecture of WegnerJan 10 2008Jun 13 2011The optimal packings of n unit discs in the plane are known for those natural numbers n, which satisfy certain number theoretic conditions. Their geometric realizations are the extremal Groemer packings (or Wegner packings). But an extremal Groemer packing ... More
Anti-Proportional Bandwidth Selection for Smoothing (Non-)Sparse Functional Data with Covariate AdjustmentsJan 28 2016Jun 24 2016This paper deals with the nonparametric estimation of the conditional mean and covariance function of a stationary time series of weakly dependent random functions with covariate-adjustments. As in the context of sparse functional data, it is assumed ... More
Unsatisfiable Linear CNF Formulas Are Large and ComplexMay 11 2009Oct 28 2010We call a CNF formula linear if any two clauses have at most one variable in common. We show that there exist unsatisfiable linear k-CNF formulas with at most 4k^2 4^k clauses, and on the other hand, any linear k-CNF formula with at most 4^k/(8e^2k^2) ... More
Modeling and forecasting electricity spot prices: A functional data perspectiveOct 06 2013Nov 28 2013Classical time series models have serious difficulties in modeling and forecasting the enormous fluctuations of electricity spot prices. Markov regime switch models belong to the most often used models in the electricity literature. These models try to ... More
Evolutionary Dynamics of Giant Viruses and their VirophagesJan 25 2013Giant viruses contain large genomes, encode many proteins atypical for viruses, replicate in large viral factories, and tend to infect protists. The giant virus replication factories can in turn be infected by so called virophages, which are smaller viruses ... More
Inhomogeneous phases near the chiral critical point in NJL-type modelsAug 26 2009In this talk we discuss the role of inhomogeneous phases in the phase diagram of the Nambu-Jona-Lasinio (NJL) and the quark meson (QM) model. By means of a generalized Ginzburg-Landau (GL) expansion it is concluded that the critical point in the mean-field ... More
Where are the binary source galactic microlensing events?Jan 13 1998Though there have been some galactic microlensing events which show a clear signature of a binary lens, no event has yet been claimed as due to lensing of a binary source. Here I argue that this may be due to the fact that most of the binary source events ... More
Estimating physical quantities for an observed galactic microlensing eventJan 08 1997Nov 13 1997For a given spatial distribution of the lenses and distribution of the transverse velocity of the lens relative to the line-of-sight, a probability distribution for the lens mass for a single observed event is derived. In addition, similar probability ... More
Uncovering galactic and extragalactic planets by gravitational microlensingDec 08 2003With its planet detection efficiency reaching a maximum for orbital radii between 1 and 10 AU, microlensing provides a unique sensitivity to planetary systems similar to our own around galactic and even extragalactic stars acting as lenses on observed ... More
Ambiguities in fits of binary lens galactic microlensing eventsFeb 28 1997Aug 13 1998For observed galactic microlensing events only one fit is usually presented, though, especially for a binary lens, several fits may be possible. This has been shown for the MACHO LMC#1 event (Dominik & Hirshfeld 1996). Here I discuss the strong binary ... More
Gaussian quantum metrology and space-time probesOct 11 2016In this thesis we focus on Gaussian quantum metrology in the phase-space formalism and its applications in quantum sensing and the estimation of space-time parameters. We derive new formulae for the optimal estimation of multiple parameters encoded into ... More
Separate Chaining Meets Compact HashingMay 01 2019While separate chaining is a common strategy for resolving collisions in a hash table taught in most textbooks, compact hashing is a less common technique for saving space when hashing integers whose domain is relatively small with respect to the problem ... More
Singular Patterns of Generic Maps of Surfaces with Boundary into the PlaneFeb 11 2019For generic maps from compact surfaces with boundary into the plane we develop an explicit algorithm for minimizing both the number of cusps and the number of components of the singular locus. More precisely, we minimize among maps with fixed boundary ... More
Infrared-safe scattering without photon vacuum transitions and time-dependent decoherenceOct 26 2018Scattering in 3+1-dimensional QED is believed to give rise to transitions between different photon vacua. We show that these transitions can be removed by taking into account off-shell modes which correspond to Li\'enard-Wiechert fields of asymptotic ... More
Estimation of Gaussian quantum statesDec 31 2017Dec 20 2018We derive several expressions for the quantum Fisher information matrix (QFIM) for the multi-parameter estimation of multi-mode Gaussian quantum states, the corresponding symmetric logarithmic derivatives, and conditions for saturability of the quantum ... More
Upgrade and Characterization of the SPIFFI/SINFONI opticsDec 14 2016The SPIFFI integral field spectrometer is operated as a subunit of the AO instrument SINFONI on the VLT. It will be upgraded and reused as SPIFFIER in the new VLT instrument ERIS. In January 2016 an early upgrade of several optical components was carried ... More
Hodge Numbers of Generalised Borcea-Voisin ThreefoldsFeb 16 2017We shall reproof formulas for the Hodge numbers of Calabi-Yau threefolds of Borcea-Voisin type constructed by A. Cattaneo and A. Garbagnati, using the orbifold cohomology formula and the orbifold Euler characteristic.
Inference rules for RDF(S) and OWL in N3LogicJan 11 2016This paper presents inference rules for Resource Description Framework (RDF), RDF Schema (RDFS) and Web Ontology Language (OWL). Our formalization is based on Notation 3 Logic, which extended RDF by logical symbols and created Semantic Web logic for deductive ... More
Abelian varieties with quaternion and complex multiplicationAug 28 2012In this paper we study abelian varieties which correspond to CM points in the coarse moduli space of principally polarized abelian varieties with multiplication by a maximal order in a quaternion algebra over a totally real number field. These are abelian ... More
Mixing times for the simple exclusion process in ballistic random environmentJun 11 2018Mar 04 2019We consider the exclusion process on segments of the integers in a site-dependent random environment. We assume to be in the ballistic regime in which a single particle has positive linear speed. Our goal is to study the mixing time of the exclusion process ... More
Cusp cobordism group of Morse functionsMay 14 2019By a Morse function on a compact manifold with boundary we mean a real-valued function without critical points near the boundary such that its critical points as well as the critical points of its restriction to the boundary are all non-degenerate. For ... More
Shrinkage Function And Its Applications In Matrix ApproximationJan 27 2016Jan 30 2016We first give an elementary derivation of the shrinkage function widely used in compressive sensing and statistical estimations. Then we demonstrate how it can be used in solving several well-known problems and proving one new result in matrix approximations. ... More
Elastodynamics and resonances in elliptical geometryNov 22 2013The resonant modes of two-dimensional elastic elliptical objects are studied from a modal formalism by emphasizing the role of the symmetries of the objects. More precisely, as the symmetry is broken in the transition from the circular disc to the elliptical ... More
Diffuse reflection of a Bose-Einstein condensate from a rough evanescent wave mirrorMay 11 2006Sep 05 2006We present experimental results showing the diffuse reflection of a Bose-Einstein condensate from a rough mirror, consisting of a dielectric substrate supporting a blue-detuned evanescent wave. The scattering is anisotropic, more pronounced in the direction ... More
Diffraction of a Bose-Einstein Condensate in the Time DomainJul 29 2005Sep 30 2005We have observed the diffraction of a Bose-Einstein condensate of rubidium atoms on a vibrating mirror potential. The matter wave packet bounces back at normal incidence on a blue-detuned evanescent light field after a 3.6 mm free fall. The mirror vibrates ... More
A Class of Non-Local Models for Pedestrian TrafficApr 15 2011Apr 20 2011We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move towards a fixed target, deviating from the best path according to the instantaneous crowd distribution. The resulting equation is a conservation law ... More
Conservation laws in the modeling of moving crowdsNov 02 2012This paper is a proceeding of the conference hyp2012 that was held in Padova in June 2012. Models for crowd dynamics are presented and compared. Well posedness results allow to exhibit the existence of optimal controls in various situations. A new approach ... More
Confidentiality-Preserving Publish/Subscribe: A SurveyMay 26 2017Publish/subscribe (pub/sub) is an attractive communication paradigm for large-scale distributed applications running across multiple administrative domains. Pub/sub allows event-based information dissemination based on constraints on the nature of the ... More
Continuity results for TV-minimizersMay 31 2016Apr 13 2017This paper deals with continuity preservation when minimizing generalized total variation with a $L^2$ fidelity term or a Dirichlet boundary condition. We extend several recent results in the two cases, mainly by showing comparison principles for the ... More
The structure of solar radio noise stormsDec 28 2014Dec 30 2014The Nan\c{c}ay Radioheliograph (NRH) routinely produces snapshot images of the full sun at frequencies between 150 and 450 MHz, with typical resolution 3 arcmin and time cadence 0.2 s. Combining visibilities from the NRH and from the Giant Meterwave Radio ... More
Can microlensing fold caustics reveal a second stellar limb-darkening coefficient?Mar 09 2004May 17 2004Dense high-precision photometry of microlensed stars during a fold-caustic passage can be used to reveal their intensity profiles from which the temperature of the stellar atmosphere as function of fractional radius can be derived. While the capabilities ... More
Spin-1/2 particles moving on a 2D lattice with nearest-neighbor interactions can realize an autonomous quantum computerJun 30 2005Dec 12 2006What is the simplest Hamiltonian which can implement quantum computation without requiring any control operations during the computation process? In a previous paper we have constructed a 10-local finite-range interaction among qubits on a 2D lattice ... More
Pseudodifferentialoperatoren mit nichtglatten Koeffizienten auf MannigfaltigkeitenNov 07 2013A generalization of differential operators are pseudodifferential operators which are used for reasoning about partial differential equations with variable coefficients. A lot of useful properties about classical pseudodifferential operators are already ... More
Optimal Scheduling for Linear-Rate Multi-Mode SystemsFeb 18 2013Linear-Rate Multi-Mode Systems is a model that can be seen both as a subclass of switched linear systems with imposed global safety constraints and as hybrid automata with no guards on transitions. We study the existence and design of a controller for ... More