From the 1 of 5.5k papers with an AI index.
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- École Normale Supérieure de LyonFR233 papers
- Centre Inria de l'Université Grenoble AlpesFR216 papers
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- Lyon 1 UniversitéFR191 papers
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8 papers · 2 filters
Links between deterministic and stochastic approaches for invasion in growth-fragmentation-death models
Fabien Campillo, Nicolas Champagnat, Coralie Fritsch
We present two approaches to study invasion in growth-fragmentation-death mod- els. The first one is based on a stochastic individual based model, which is a piecewise deterministi…
Equivalence of ensembles for large vehicle-sharing models
Christine Fricker, Danielle Tibi
For a class of large closed Jackson networks submitted to capacity constraints, asymptotic independence of the nodes in normal traffic phase is proved at stationarity under mild as…
A general framework for stochastic traveling waves and patterns, with application to neural field equations
James Inglis, James MacLaurin
In this paper we present a general framework in which to rigorously study the effect of spatio-temporal noise on traveling waves and stationary patterns. In particular the framewor…
Stochastic heat equation with rough dependence in space
Yaozhong Hu, Jingyu Huang, Khoa Lê +2
This paper studies the nonlinear one-dimensional stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance of a fractional Brownian mo…
Analysis of Large Unreliable Stochastic Networks
Wen Sun, Mathieu Feuillet, Philippe Robert
In this paper a stochastic model of a large distributed system where users' files are duplicated on unreliable data servers is investigated. Due to a server breakdown, a copy of a…
Particle approximation for Lagrangian Stochastic Models with specular boundary condition
Mireille Bossy, Jean-Francois Jabir
In this paper, we prove a particle approximation, in the sense of the propagation of chaos, of a Lagrangian stochastic model submitted to specular boundary condition and satisfying…