Institut de Mathématiques de Bordeaux

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19962026

most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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Showing 2015Show all

52 papers · 1 filter

math.DS2015★ 20 cited

Zero-temperature phase diagram for double-well type potentials in the summable variation class

Rodrigo Bissacot, Eduardo Garibaldi, Philippe Thieullen

We study the zero-temperature limit of the Gibbs measures of a class of long-range potentials on a full shift of two symbols ${0, 1}$ . These potentials were introduced by Walters…

math.NT2015

Bornes sur le nombre de points rationnels des courbes -- en quete d'uniformite

Fabien Pazuki

The aim of this paper is to show how a conjectural lower bound on the canonical height function in the spirit of Lang and Silverman leads to an explicit uniform bound on the number…

math.CV2015

Kernels of Toeplitz operators

Andreas Hartmann, Mishko Mitkovski

Toeplitz operators are met in different fields of mathematics such as stochastic processes, signal theory, completeness problems, operator theory, etc. In applications, spectral an…

math.NT2015

On a divisibility relation for Lucas sequences

Yuri Bilu, Takao Komatsu, Florian Luca +2

In this note, we study the divisibility relation $U_{m} ∣ U_{n + k}^{s} - U_{n}^{s}$ , where $U := {U_{n}}_{n \geq 0}$ is the Lucas sequence of characteristic polynomial $x^{2} - a x \pm 1$ and $…

math.AP2015★ 9 cited

Dynamics of a kinetic model describing protein exchanges in a cell population

Pierre Magal, Gaël Raoul

We consider a cell population structured by a positive real number, describing the number of P-glycoproteins carried by the cell. We are interested in the effect of those proteins…

math.SP2015★ 21 cited

On the negative spectrum of the Robin Laplacian in corner domains

Nicolas Popoff, Vincent Bruneau

For a bounded corner domain $Ω$ , we consider the Robin Laplacian in $Ω$ with large Robin parameter. Exploiting multiscale analysis and a recursive procedure, we have a precise desc…