C. Landim

activity

20172025

most citedDirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes

47 citations · 57 across the 7 of their papers we have counts for

collaborators

7 papers

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 \begin{equat…

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…

math.PR2024

Metastability and time scales for parabolic equations with drift 2: the general time scale

Claudio Landim, Jungkyoung Lee, Insuk Seo

Consider the elliptic operator given by \[ \mathscr{L}_εf=b\cdot\nabla f+εΔf \] for some smooth vector field $b : R^{d} \to R^{d}$ and $ε > 0$ , and the initial-valued probl…

math.PR2023

Metastability and time scales for parabolic equations with drift 1: the first time scale

Claudio Landim, Jungkyoung Lee, Insuk Seo

Consider the elliptic operator given by $L_{ε} f = b \cdot \nabla f + ε Δ f$ for some smooth vector field $b : R^{d} \to R^{d}$ and a small parameter $ε>0…

math.PR2021★ 10 cited

A Resolvent Approach to Metastability

C. Landim, D. Marcondes, I. Seo

We provide a necessary and sufficient condition for the metastability of a Markov chain, expressed in terms of a property of the solutions of the resolvent equation. As an applicat…

math.PR2017★ 47 cited

Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes

C. Landim, M. Mariani, I. Seo

We present two variational formulae for the capacity in the context of non-selfadjoint elliptic operators. The minimizers of these variational problems are expressed as solutions o…

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

Metastability and time scales for parabolic equations with drift 2: the general time scale

Metastability and time scales for parabolic equations with drift 1: the first time scale

A Resolvent Approach to Metastability

Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes

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