127 citations
- Université de RennesFR54 papers
- Centre National de la Recherche ScientifiqueFR17 papers
- Laboratoire de Mathématiques Blaise PascalFR8 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR5 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR5 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE4 papers
- Toronto Metropolitan UniversityCA4 papers
- Institut FourierFR3 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Institut National des Sciences Appliquées de RennesFR3 papers
- Unité de Mathématiques Pures et AppliquéesFR3 papers
40 papers · 1 filter
Stochastically stable globally coupled maps with bistable thermodynamic limit
Jean-Baptiste Bardet, Gerhard Keller, Roland Zweimüller
We study systems of globally coupled interval maps, where the identical individual maps have two expanding, fractional linear, onto branches, and where the coupling is introduced v…
Long-time behavior in scalar conservation laws
Arnaud Debussche, Julien Vovelle
We consider the long-time behavior of the entropy solution of a first-order scalar conservation law on a Riemannian manifold. In the case of the Torus, we show that, under a weak p…
On the complexity of Putinar's Positivstellensatz
Jiawang Nie, Markus Schweighofer
We prove an upper bound on the degree complexity of Putinar's Positivstellensatz. This bound is much worse than the one obtained previously for Schmüdgen's Positivstellensatz but i…
Sturm and Sylvester algorithms revisited via tridiagonal determinantal representations
Ronan Quarez
First, we show that Sturm algorithm and Sylvester algorithm, which compute the number of real roots of a given univariate polynomial, lead to two dual tridiagonal determinantal rep…
A Simpson correspondence in positive characteristic
Michel Gros, Bernard Le Stum, Adolfo Quirós
We define the -curvature map on the sheaf of differential operators of level on a scheme of positive characteristic as dual to some divided power map on infinitesimal…
The KdV/KP-I limit of the Nonlinear Schrodinger equation
D. Chiron, F. Rousset
We justify rigorously the convergence of the amplitude of solutions of Nonlinear-Schrödinger type Equations with non zero limit at infinity to an asymptotic regime governed by the…