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

479 citations

researchers with a paper here

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

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Showing 2019 · math.PRShow all

6 papers · 2 filters

math.PR2019★ 1 cited

Mean number and correlation function of critical points of isotropic Gaussian fields and some results on GOE random matrices

Jean-Marc Azais, Céline Delmas

Let be an isotropic Gaussian random field with real values.In a first part we study the mean number of critical points of $\mathcal{X…

math.PR2019★ 27 cited

On an irreducibility type condition for the ergodicity of nonconservative semigroups

Bertrand Cloez, Pierre Gabriel

We propose a simple criterion, inspired from the irreducible aperiodic Markov chains, to derive the exponential convergence of general positive semi-groups. When not checkable on t…

math.PR2019★ 2 cited

Long time behaviour of continuous-state nonlinear branching processes with catastrophes

Aline Marguet, Charline Smadi

Motivated by the study of a parasite infection in a cell line, we introduce a general class of Markov processes for the modelling of population dynamics. The population process evo…

math.PR2019★ 5 cited

Stochastic partial differential equations describing neutral genetic diversity under short range and long range dispersal

Raphaël Forien

In this paper, we consider a mathematical model for the evolution of neutral genetic diversity in a spatial continuum including mutations, genetic drift and either short range or l…

math.PR2019★ 8 cited

Household epidemic models and McKean-Vlasov Poisson driven stochastic differential equations

Raphael Forien, Etienne Pardoux

This paper presents a new view of household epidemic models, where the interaction between the households is of mean field type. We thus obtain in the limit of infinitely many hous…

math.PR2019★ 9 cited

Two level natural selection with a quasi-stationarity approach

Aurélien Velleret

In a view for a simple model where natural selection at the individual level is confronted to selection effects at the group level, we consider some individual-based models of some…