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20022009
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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cond-mat.stat-mech2005★ 195 cited

A momentum conserving model with anomalous thermal conductivity in low dimension

Giada Basile, Cedric Bernardin, Stefano Olla

Anomalous large thermal conductivity has been observed numerically and experimentally in one and two dimensional systems. All explicitly solvable microscopic models proposed to dat…

math-ph2005

Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems

Jean Dolbeault, Patricio Felmer, Michael Loss +1

We prove a Lieb-Thirring type inequality for potentials such that the associated Schrödinger operator has a pure discrete spectrum made of an unbounded sequence of eigenvalues. Thi…

math.PR2005

Modified logarithmic Sobolev inequalities in null curvature

Ivan Gentil, Arnaud Guillin, Laurent Miclo

We present a logarithmic Sobolev inequality adapted to a log-concave measure. Assume that is a symmetric convex function on $\dR$ satisfying $(1+\e)Φ(x)\leq {x}Φ'(x)\leq(2-\e)Φ…

math.FA2005★ 1 cited

Logarithmic Sobolev inequality for log-concave measure from Prekopa-Leindler inequality

Ivan Gentil

We develop in this paper an amelioration of the method given by S. Bobkov and M. Ledoux in GAFA (2000). We prove by Prekopa-Leindler Theorem an optimal modified logarithmic Sobolev…

math.AP2005

Well-posedness of a multiscale model for concentrated suspensions

Eric Cancès, Isabelle Catto, Yousra Gati +1

In a previous work [math.AP/0305408] three of us have studied a nonlinear parabolic equation arising in the mesoscopic modelling of concentrated suspensions of particles that are s…

math.AP2005★ 1 cited

Convex Sobolev inequalities and spectral gap

Jean Dolbeault, Jean-Philippe Bartier

This note is devoted to the proof of convex Sobolev (or generalized Poincaré) inequalities which interpolate between spectral gap (or Poincaré) inequalities and logarithmic Sobolev…