39 citations · 142 across the 19 of their papers we have counts for
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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 -dimensional torus with singular -Laplace-type or total variation flow-type…