74 citations · 143 across the 12 of their papers we have counts for
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math-ph2020
Fast non mean-field networks: uniform in time averaging
Julien Barré, Paul Dobson, Michela Ottobre +1
We study a population of particles, which evolve according to a diffusion process and interact through a dynamical network. In turn, the evolution of the network is coupled to…
math-ph2017★ 1 cited
Vlasov-Fokker-Planck equation: stochastic stability of resonances and unstable manifold expansion
Julien Barré, David Métivier
We investigate the dynamics close to a homogeneous stationary state of Vlasov equation in one dimension, in presence of a small dissipation modeled by a Fokker-Planck operator. Whe…
math-ph2011★ 42 cited
Algebraic damping in the one-dimensional Vlasov equation
Julien Barré, Alain Olivetti, Yoshiyuki Y. Yamaguchi
We investigate the asymptotic behavior of a perturbation around a spatially non homogeneous stable stationary state of a one-dimensional Vlasov equation. Under general hypotheses,…