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math.AP2018
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
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…