C. Landim

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2025

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 $U : R^{d} \to R$ with finitely many critical points, and consider the solution of the stochastic differential equation \[ d\boldsym…

math.PR2025

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…

math.PR2025

$Γ$ -expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains

Seonwoo Kim, Claudio Landim

Consider a sequence of continuous-time Markov chains $(X_{t}^{(n)} : t \geq 0)$ evolving on a fixed finite state space $V$ . Let $I_{n}$ be the measure-current large deviations rate functio…

The Gamma Expansion of the Level Two Large Deviation Rate Functional for Reversible Diffusion Processes

From one-dimensional diffusion processes metastable behaviour to parabolic equations asymptotics

Γ-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains

$Γ$ -expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains