4 citations · 4 across the 4 of their papers we have counts for
5 papers
Full expansion for the level-two large deviation rate functionals of non-reversible one-dimensional diffusions with periodic boundary conditions
Claudio Landim, Christian Maura
Consider the diffusion process \begin{equation*} dX_ε(t) = \mss b(X_ε(t)) \, dt + \sqrt{2\, ε\, \mss a(X_ε(t))} \, dW_{t}, \end{equation*} on the one-dimensional torus $\bb T = [0,…
Exclusion processes with non-reversible boundary: hydrodynamics and large deviations
Claudio Landim, João Pedro Mangi, Beatriz Salvador
We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat equati…
Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs
A. Bouley, C. Landim
We consider a one-dimensional gradient symmetric exclusion process in mild contact with boundary reservoirs. The hydrodynamic limit of the empirical measure is given by a non-linea…
Steady state large deviations for one-dimensional, symmetric exclusion processes in weak contact with reservoirs
A. Bouley, C. Erignoux, C. Landim
Consider the symmetric exclusion process evolving on an interval and weakly interacting at the end-points with reservoirs. Denote by its dynamical large deviati…
Static large deviations for a reaction-diffusion model
Jonathan Farfan, Claudio Landim, Kenkichi Tsunoda
We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary condition…