Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Lefevere, Raphael"'
For renewal-reward processes with a power-law decaying waiting time distribution, anomalously large probabilities are assigned to atypical values of the asymptotic processes. Previous works have reveals that this anomalous scaling causes a singularit
Externí odkaz:
http://arxiv.org/abs/2203.08584
Autor:
Lefevere, Raphael, Sasa, Shin-ichi
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 fundamental properties of macroscopic systems that exhibit relaxation to an equ
Externí odkaz:
http://arxiv.org/abs/2111.10348
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 extremely slow dynamics, resulting in a singular large deviation function. W
Externí odkaz:
http://arxiv.org/abs/2106.03182
Autor:
Chiffaudel, Yann, Lefevere, Raphaël
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 $d$-dimensional domain and connected to particles reservoirs at fixed chemical potentia
Externí odkaz:
http://arxiv.org/abs/1506.04727
Autor:
Lefevere, Raphael
Nous passons en revue certains résultats obtenus dans quatre thèmes: les équations de Navier-Stokes stochastiques en deux dimensions, la loi de Fourier dans les chaines d'oscillateurs anharmoniques, les grandes déviations de ces systèmes et fina
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00443087
http://tel.archives-ouvertes.fr/docs/00/44/30/87/PDF/Habilitation.pdf
http://tel.archives-ouvertes.fr/docs/00/44/30/87/PDF/Habilitation.pdf
Autor:
Lefevere, Raphael
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 box on a d+1 dimensional lattice and when $d\geq7$, we show that under
Externí odkaz:
http://arxiv.org/abs/1404.5694
Autor:
Lefevere, Raphael
We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of Hamiltonian
Externí odkaz:
http://arxiv.org/abs/1211.0608
Autor:
Lefevere, Raphael
We explain why the macroscopic fluctuations of deterministic local collision dynamics should be characterized by a non strictly convex functional.
Externí odkaz:
http://arxiv.org/abs/1205.1634
We investigate large deviations for the empirical measure of the position and momentum of a particle traveling in a box with hot walls. The particle travels with uniform speed from left to right, until it hits the right boundary. Then it is absorbed
Externí odkaz:
http://arxiv.org/abs/1103.2815
We investigate large deviations for the empirical measure of the forward and backward recurrence time processes associated with a classical renewal process with arbitrary waiting-time distribution. The Donsker-Varadhan theory cannot be applied in thi
Externí odkaz:
http://arxiv.org/abs/1009.2659