Jonas M. Tölle

activity

20092026

most citedMulti-valued, singular stochastic evolution inclusions

39 citations · 142 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AP2018★ 7 cited

A gradient flow formulation for the stochastic Amari neural field model

Christian Kuehn, Jonas M. Tölle

We study stochastic Amari-type neural field equations, which are mean-field models for neural activity in the cortex. We prove that under certain assumptions on the coupling kernel…

math.AP2018★ 4 cited

Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions

Jonas M. Tölle

We prove existence and uniqueness of solutions to a nonlinear stochastic evolution equation on the $d$ -dimensional torus with singular $p$ -Laplace-type or total variation flow-type…

math.PR2018★ 1 cited

A compact topology for $σ$ -algebra convergence

Patrick Beissner, Jonas M. Tölle

We propose a sequential topology on the space of sub- $σ$ -algebras of a separable probability space $(Ω, F, P)$ by linking conditional expectations on $L^{2}$ along…

A gradient flow formulation for the stochastic Amari neural field model

Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions

A compact topology for σ-algebra convergence

A compact topology for $σ$ -algebra convergence