4 papers
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…
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…
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…
Profile cut-off phenomenon for the ergodic Feller root process
Gerardo Barrera, Liliana Esquivel
The present manuscript is devoted to the study of the convergence to equilibrium as the noise intensity tends to zero for ergodic random systems out of equilibrium…