7 papers
Lower path regularity in all dimensions
Michael Hinz, Jonas M. Tölle, Lauri Viitasaari
We prove precise almost sure lower path regularity results for a wide class of stochastic processes in all space dimensions . Examples include Gaussian processes, in parti…
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…
A stochastic Schauder-Tychonoff type theorem and its applications
Erika Hausenblas, Ankit Kumar, Jonas M. Tölle
One standard way to prove existence for deterministic, highly nonlinear PDEs is to use the Schauder-Tychonoff fixed-point theorem. In what follows, we introduce and verify a stocha…
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…
On fractal minimizers and potentials of occupation measures
Michael Hinz, Jonas M. Tölle, Lauri Viitasaari
We consider four prototypes of variational problems and prove the existence of fractal minimizers through the direct method in the calculus of variations. By design these minimizer…
Ergodicity for stochastic neural field equations
Anna-Mariya Otsetova, Jonas M. Tölle
We investigate the well-posedness and long-time behavior of a general continuum neural field model with Gaussian noise on possibly unbounded domains. In particular, we give conditi…