40 citations · 121 across the 16 of their papers we have counts for
16 papers
Multiscale analysis of the conductivity in the Lorentz mirrors model
Raphael Lefevere
We consider the mirrors model in dimensions on an infinite slab and with unit density. This is a deterministic dynamics in a random environment. We argue that the crossing prob…
Anomalous fluctuations of renewal-reward processes with heavy-tailed distributions
Hiroshi Horii, Raphael Lefevere, Masato Itami +1
For renewal-reward processes with a power-law decaying waiting time distribution, anomalously large probabilities are assigned to atypical values of the asymptotic processes. Previ…
Macroscopic stability of time evolution of Gibbs measures
Raphael Lefevere, Shin-ichi Sasa
We introduce two properties, macroscopic mixing and transitive mixing, to represent the macroscopic stability of time evolution of Gibbs measures. We claim that these are fundament…
Large-time asymptotic of heavy tailed renewal processes
Hiroshi Horii, Raphael Lefevere, Takahiro Nemoto
We study the large-time asymptotic of renewal-reward processes with a heavy-tailed waiting time distribution. It is known that the heavy tail of the distribution produces an extrem…
The Mirrors Model : Macroscopic Diffusion Without Noise or Chaos
Yann Chiffaudel, Raphaël Lefevere
We first clarify through classical examples the status of the laws of macroscopic physics as laws of large numbers. We next consider the mirrors model in a finite -dimensional d…
Fick's law in a random lattice Lorentz gas
Raphael Lefevere
We provide a proof that the stationary macroscopic current of particles in a random lattice Lorentz gas satisfies Fick's law when connected to particles reservoirs. We consider a b…