output
20002026
most citedInformation theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states

479 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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15 papers · 1 filter

math.AP2024

The principal eigenvalue problem for time-periodic nonlocal equations with drift

Bertrand Cloez, Adil El Abdouni, Pierre Gabriel

In this work, we consider a general time-periodic linear transport equation with integral source term. We prove the existence of a Floquet principal eigenvalue, namely a real numbe…

math.AP2023★ 1 cited

The principal eigenvalue problem for a strongly anisotropic second-order elliptic operator

Nathanaël Boutillon

We consider an elliptic operator in which the second-order term is very small in one direction. In this regime, we study the behaviour of the principal eigenfunction and of the pri…

math.AP2023

Modeling compartmentalization within intracellular signaling pathway

Claire Alamichel, Juan Calvo, Erwan Hingant +3

We present a new modeling approach for G protein coupled receptors signaling systems, that take into account the compartmentalization of receptors and their effectors, both at plas…

math.AP2023★ 1 cited

Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation

Juan Calvo, Erwan Hingant, Romain Yvinec

We consider the Lifshitz-Slyozov model with inflow boundary conditions of nucleation type. We show that for a collection of representative rate functions the size distributions app…

math.AP2023★ 3 cited

Propagation or extinction in bistable equations: the non-monotone role of initial fragmentation

Matthieu Alfaro, François Hamel, Lionel Roques

In this paper, we investigate the large-time behavior of bounded solutions of the Cauchy problem for a reaction-diffusion equation in with bistable reaction term. We…

math.AP2022★ 9 cited

Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread

Léna Kläy, Léo Girardin, Vincent Calvez +1

Understanding the temporal spread of gene drive alleles -- alleles that bias their own transmission -- through modeling is essential before any field experiments. In this paper, we…

math.AP2022★ 1 cited

Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher-KPP equation

Nathanaël Boutillon

We study a variant of the Fisher-KPP equation with nonlocal dispersal. Using the theory of large deviations, we show the emergence of a "Bramson-like" logarithmic delay for the lin…

math.AP2020★ 5 cited

The Initial-boundary value problem for the Lifshitz-Slyozov equation with non-smooth rates at the boundary

Juan Calvo, Erwan Hingant, Romain Yvinec

We prove existence and uniqueness of solutions to the initial-boundary value problem for the Lifshitz--Slyozov equation (a nonlinear transport equation on the half-line), focusing…

math.AP2020★ 21 cited

The Cauchy problem for the infinitesimal model in the regime of small variance

Florian Patout

We study the asymptotic behavior of solutions of the Cauchy problem associated to a quantitative genetics model with a sexual mode of reproduction. It combines trait-dependent mort…

math.AP2019

Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density

Jean-Paul Vila, Gael Richard, Didier Bresch +7

In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for…

math.AP2019

Mean field approximation of a heterogeneous population of plants in competition

Antonin Della Noce, Amélie Mathieu, Paul-Henry Cournède

The processes of interplant competition within a field are still poorly understood. However, they explain a large part of the heterogeneity in a field and may have longer-term cons…

math.AP2019★ 43 cited

A non-conservative Harris ergodic theorem

Vincent Bansaye, Bertrand Cloez, Pierre Gabriel +1

We consider non-conservative positive semigroups and obtain necessary and sufficient conditions for uniform exponential contraction in weighted total variation norm. This ensures t…

math.AP2017★ 62 cited

Ergodic behavior of non-conservative semigroups via generalized Doeblin's conditions

Vincent Bansaye, Bertrand Cloez, Pierre Gabriel

We provide quantitative estimates in total variation distance for positive semi-groups, which can be non-conservative and non-homogeneous. The techniques relies on a family of cons…

math.AP2016★ 2 cited

Limiting Hamilton-Jacobi Equation for the Large Scale Asymptotics of a Subdiffusion Jump-Renewal Equation

Vincent Calvez, Pierre Gabriel, Álvaro Mateos González

Subdiffusive motion takes place at a much slower timescale than diffusive motion. As a preliminary step to studying reaction-subdiffusion pulled fronts, we consider here the hyperb…

math.AP2016★ 13 cited

Solution landscapes in nematic microfluidics

Maria Crespo, Ian Griffiths, Apala Majumdar +1

We study the static equilibria of a simplified Leslie--Ericksen model for a unidirectional uniaxial nematic flow in a prototype microfluidic channel, as a function of the pressure…