20 citations · 44 across the 10 of their papers we have counts for
10 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…
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…
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…
Singular limits for stochastic equations
Dirk Blömker, Jonas M. Tölle
We study singular limits of stochastic evolution equations in the interplay of disappearing strength of the noise and insufficient regularity, where the equation in the limit with…
Corrigendum to `Convergence of invariant measures for singular stochastic diffusion equations'
Ioana Ciotir, Jonas M. Tölle
We correct a few errors that appeared in [Convergence of invariant measures for singular stochastic diffusion equations, Stochastic Process. Appl. 122 (2012), no. 4, 1998--2017] by…
Uniqueness of weighted Sobolev spaces with weakly differentiable weights
Jonas M. Tölle
We prove that weakly differentiable weights which, together with their reciprocals, satisfy certain local integrability conditions, admit a unique associated first-order -So…
Existence and Uniqueness of Invariant Measures for Stochastic Evolution Equations with Weakly Dissipative Drifts
Wei Liu, Jonas M. Tölle
In this paper, a new decay estimate for a class of stochastic evolution equations with weakly dissipative drifts is established, which directly implies the uniqueness of invariant…
Convergence of solutions to the -Laplace evolution equation as goes to 1
Jonas M. Tölle
We prove that the set of solutions to the parabolic singular -Laplace equation with Dirichlet boundary conditions on a bounded Lipschitz domain for all space dimensions is c…