3 papers
math.PR2026
Mixing times for the stochastic -Laplace equation
Gerardo Barrera, Jonas M. Tölle
We give an overview on existing quantitative results on long-time behavior of the stochastic -Laplace equation with additive Wiener noise, . We summarize the existing resul…
math.PR2025
Wasserstein error estimates between telegraph processes and Brownian motion
Gerardo Barrera, Jani Lukkarinen, Mikko S. Pakkanen
We provide non-asymptotic error bounds in the path Wasserstein distance with quadratic integral cost between suitable functionals of the telegraph process and the corresponding fun…
math.PR2024
Ergodicity and mixing for locally monotone stochastic evolution equations
Gerardo Barrera, Jonas M. Tölle
We establish general quantitative conditions for stochastic evolution equations with locally monotone drift and degenerate additive Wiener noise in variational formulation resultin…