374 citations
- École Normale Supérieure de LyonFR34 papers
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- Mathématiques Appliquées à Paris 5FR5 papers
- Laboratoire de Physique Théorique de la Matière CondenséeFR4 papers
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- Université de LyonFR3 papers
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- Laboratoire de Mathématiques Blaise PascalFR2 papers
8 papers · 1 filter
A simple particle model for a system of coupled equations with absorbing collision term
Cedric Bernardin, Valeria Ricci
We study a particle model for a simple system of partial differential equations describing, in dimension , a two component mixture where light particles move in a medium o…
Geometry of warped products
Abdelghani Zeghib
This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since exi…
Homogeneous spaces, dynamics, cosmology: Geometric flows and rational dynamics
Abdelghani Zeghib
The Ricci flow is a parabolic evolution equation in the space of Riemannian metrics of a smooth manifold. To some extent, Einstein equations give rise to a similar hyperbolic evolu…
Improved spectral gap bounds on positively curved manifolds
Laurent Veysseire
A coupling method and an analytic one allow us to prove new lower bounds for the spectral gap of reversible diffusions on compact manifolds. Those bounds are based on the a notion…
Analysis of a non local model for spontaneous cell polarisation
Vincent Calvez, Rhoda Hawkins, Nicolas Meunier +1
In this work, we investigate the dynamics of a non-local model describing spontaneous cell polarisation. It consists in a drift-diffusion equation set in the half-space, with the c…
Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes
Cedric Bernardin, C. Landim
We examine the entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes. In contrast with the Gibbs--Shannon entropy \cite{B, DLS2}, th…