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20042026
most citedTraffic Instabilities in Self-Organized Pedestrian Crowds

217 citations

Showing 2017Show all

23 papers · 1 filter

math.AP2017★ 5 cited

Blowup of solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation

Van Duong Dinh

In this paper, we consider a class of the focusing inhomogeneous nonlinear Schrödinger equation \[ i\partial_t u + Δu + |x|^{-b} |u|^αu = 0, \quad u(0)=u_0 \in H^1(\mathbb{R}^d), \…

math.AP2017★ 12 cited

Energy scattering for a class of the defocusing inhomogeneous nonlinear Schrödinger equation

Van Duong Dinh

In this paper, we consider a class of the defocusing inhomogeneous nonlinear Schrödinger equation \[ i\partial_t u + Δu - |x|^{-b} |u|^αu = 0, \quad u(0)=u_0 \in H^1, \] with $b, α…

math.CV2017

Skew Carleson measures in strongly pseudoconvex domains

Marco Abate, Jasmin Raissy

Given a bounded strongly pseudoconvex domain in with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of $(λ,…

math.NA2017

Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations

Gouranga Mallik, Neela Nataraj, Jean-Pierre Raymond

In this paper, we discuss the numerical approximation of a distributed optimal control problem governed by the von Karman equations, defined in polygonal domains with point-wise co…

cond-mat.quant-gas2017

Restoring quasi-reversibility with a single topological charge

Juan Pablo Álvarez Zúñiga, Romain Duboscq, Christophe Besse +2

We numerically study a rotating Bose-Einstein condensate placed transiently over the critical rotation frequency i.e. in a regime where the rotation frequency is larger than the ra…

stat.AP2017

Estimation of temperature-dependent growth profiles for the assessment of time of hatching in forensic entomology

D. Pigoli, J. A. D. Aston, F. Ferraty +3

Forensic entomology contributes important information to crime scene investigations. In this paper, we propose a method to estimate the hatching time of larvae (or maggots) based o…

math.AP2017★ 1 cited

Regularity of solutions to scalar conservation laws with a force

Benjamin Gess, Xavier Lamy

We prove regularity estimates for entropy solutions to scalar conservation laws with a force. Based on the kinetic form of a scalar conservation law, a new decomposition of entropy…

math.NA2017★ 1 cited

Numerical approximation of multiple isolated roots of analytic systems

Marc Giusti, Jean-Claude Yakoubsohn

We propose a numerical analysis of a simplified version of the previous paper "Multiplicity hunting and approximating multiple roots of polynomial systems" written by the two autho…

math.PR2017

A rigidity property of superpositions involving determinantal processes

Yanqi Qiu

The main result of this paper states that if is a pair of independent point processes on a common ground space with Poisson and determinantal induced by a locally…

math.AP2017

Global existence and scattering for a class of nonlinear fourth-order Schrödinger equation below the energy space

Van Duong Dinh

In this paper, we consider a class of nonlinear fourth-order Schrödinger equation, namely \[ \left\{ \begin{array}{rcl} i\partial_t u +Δ^2 u &=&-|u|^{ν-1} u, \quad 1+ \frac{8}{d}<ν…

math-ph2017★ 4 cited

Energy statistics in open harmonic networks

Tristan Benoist, Vojkan Jakšić, Claude-Alain Pillet

We relate the large time asymptotics of the energy statistics in open harmonic networks to the variance-gamma distribution and prove a full Large Deviation Principle. We consider b…

math.AP2017★ 9 cited

On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem

Van Hoang Nguyen, Futoshi Takahashi

In this paper, we establish a weighted Trudinger-Moser type inequality with the full Sobolev norm constraint on the whole Euclidean space. Main tool is the singular Trudinger-Moser…

math.FA2017

Maximizers for the variational problems associated with Sobolev type inequalities under constraints

Van Hoang Nguyen

We propose a new approach to study the existence and non-existence of maximizers for the variational problems associated with Sobolev type inequalities both in the subcritical case…

nlin.PS2017

Bifurcation to locked fronts in two component reaction-diffusion systems

Gregory Faye, Matt Holzer

We study invasion fronts and spreading speeds in two component reaction-diffusion systems. Using a variation of Lin's method, we construct traveling front solutions and show the ex…

math.PR2017★ 2 cited

Equivalence of Palm measures for determinantal point processes governed by Bergman kernels

Alexander I. Bufetov, Shilei Fan, Yanqi Qiu

For a determinantal point process induced by the reproducing kernel of the weighted Bergman space over a domain , we establish the mutual absolu…

cs.GT2017★ 2 cited

Existence of a simple and equitable fair division: a short proof

Guillaume Chèze

In this note we study how to share a good between n players in a simple and equitable way. We give a short proof for the existence of such fair divisions.

math.OC2017★ 3 cited

On inverse optimal control via polynomial optimization

Jérémy Rouot, Jean-Bernard Lasserre

We consider the class of control systems where the differential equation, state and control system are described by polynomials. Given a set of trajectories and a class of Lagrangi…

math.AP2017★ 1 cited

Nontrivial dynamics beyond the logarithmic shift in two-dimensional Fisher-KPP equations

Jean-Michel Roquejoffre, Violaine Roussier-Michon

We study the asymptotic behaviour, as time goes to infinity, of the Fisher-KPP equation in spatial dimension , when the initial condition looks like a H…

q-bio.CB2017★ 1 cited

Are tumor cell lineages solely shaped by mechanical forces?

Mathieu Leroy-Lerêtre, Giacomo Dimarco, Martine Cazales +4

This paper investigates cells proliferation dynamics in small tumor cell aggregates using an individual based model (IBM). The simulation model is designed to study the morphology…

math.SG2017

The fundamental group of a rigid Lagrangian cobordism

Jean-François Barraud, Lara Simone Suárez

In this article we extend the construction of the Floer fundamental group to the monotone Lagrangian setting and use it to study the fundamental group of a Lagrangian cobordism $W\…

math.AP2017

Interaction energy between vortices of vector fields on Riemannian surfaces

Radu Ignat, Robert L. Jerrard

We study a variational Ginzburg-Landau type model depending on a small parameter for (tangent) vector fields on a -dimensional Riemannian surface. As , the vector…

math.PR2017

Limiting eigenvectors of outliers for Spiked Information-Plus-Noise type matrices

Mireille Capitaine

We consider an Information-Plus-Noise type matrix where the Information matrix is a spiked matrix. When some eigenvalues of the random matrix separate from the bulk, we study how t…

cs.LG2017

The empirical Christoffel function with applications in data analysis

Jean-Bernard Lasserre, Edouard Pauwels

We illustrate the potential applications in machine learning of the Christoffel function, or more precisely, its empirical counterpart associated with a counting measure uniformly…