4 papers
The Gamma Expansion of the Level Two Large Deviation Rate Functional for Reversible Diffusion Processes
Claudio Landim, Jungkyoung Lee, Mauro Mariani
Fix a smooth Morse function with finitely many critical points, and consider the solution of the stochastic differential equation \[ d\boldsym…
From one-dimensional diffusion processes metastable behaviour to parabolic equations asymptotics
Claudio Landim, Christian Maura
Consider the one-dimensional elliptic operator given by \begin{equation*} (L_εf)(x) \;=\; b (x) \, f'(x) \,+\, ε\, a (x)\, f''(x) \;, \end{equation*} where the drift $b\colon R \to…
Critical dynamical fluctuations in reaction-diffusion processes
Benoit Dagallier, Claudio Landim
We consider a one-dimensional microscopic reaction-diffusion process obtained as a superposition of a Glauber and a Kawasaki dynamics. The reaction term is tuned so that a dynamica…
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…