2 papers
math.PR2026
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,…
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…