output
20042026
most citedTraffic Instabilities in Self-Organized Pedestrian Crowds

217 citations

Showing 2012Show all

11 papers · 1 filter

math-ph2012★ 5 cited

Well-posedness for Hall-magnetohydrodynamics

Dongho Chae, Pierre Degond, Jian-Guo Liu

We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resitive, viscous or inviscid Hall-MHD model. We also…

math.PR2012

On Ornstein-Uhlenbeck driven by Ornstein-Uhlenbeck processes

Bernard Bercu, Frederic Proia, Nicolas Savy

We investigate the asymptotic behavior of the maximum likelihood estimators of the unknown parameters of positive recurrent Ornstein-Uhlenbeck processes driven by Ornstein-Uhlenbec…

math.CV2012★ 43 cited

Viscosity solutions to complex Hessian equations

Lu Hoang Chinh

We study viscosity solutions to complex hessian equations. In the local case, we consider a bounded domain in the standard Kähler form in an…

math.OC2012★ 2 cited

Two Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries

P. -A. Absil, Luca Amodei, Gilles Meyer

We consider two Riemannian geometries for the manifold of all matrices of rank . The geometries are induced on …

math.PR2012★ 1 cited

Means in complete manifolds: uniqueness and approximation

Marc Arnaudon, Laurent Miclo

Let be a complete Riemannian manifold, $N\in \NN$ and . We prove that almost everywhere on for Lebesgue measure in , the measure $\di μ(x)…

math.AP2012

A thin film approximation of the Muskat problem with gravity and capillary forces

Philippe Laurencot, Bogdan-Vasile Matioc

Existence of nonnegative weak solutions is shown for a thin film approximation of the Muskat problem with gravity and capillary forces taken into account. The model describes the s…

math.DG2012★ 1 cited

Some open questions on anti-de Sitter geometry

Thierry Barbot, Francesco Bonsante, Jeffrey Danciger +6

We present a list of open questions on various aspects of AdS geometry, that is, the geometry of Lorentz spaces of constant curvature -1. When possible we point out relations with…

math.NA2012★ 7 cited

Highly anisotropic temperature balance equation and its asymptotic-preserving resolution

Alexei Lozinski, Jacek Narski, Claudia Negulescu

This paper deals with the numerical study of a nonlinear, strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high a…

physics.soc-ph2012★ 217 cited

Traffic Instabilities in Self-Organized Pedestrian Crowds

Mehdi Moussaid, Elsa G. Guillot, Mathieu Moreau +7

In human crowds as well as in many animal societies, local interactions among individuals often give rise to self-organized collective organizations that offer functional benefits…

math.AP2012★ 3 cited

The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$,

Adrien Blanchet, Philippe Laurençot

It is known that, for the parabolic-elliptic Keller-Segel system with critical porous-medium diffusion in dimension $\RR^d$, (also referred to as the quasilinear Smolucho…

math.PR2012★ 2 cited

Eigenvalue variance bounds for Wigner and covariance random matrices

Sandrine Dallaporta

This work is concerned with finite range bounds on the variance of individual eigenvalues of Wigner random matrices, in the bulk and at the edge of the spectrum, as well as for som…