11 citations · 11 across the 2 of their papers we have counts for
2 papers
math.PR2013
Spatio-Temporal Hybrid (PDMP) Models: Central Limit Theorem and Langevin Approximation for Global Fluctuations. Application to Electrophysiology
Martin G Riedler, Michele Thieullen
In the present work we derive a Central Limit Theorem for sequences of Hilbert-valued Piecewise Deterministic Markov process models and their global fluctuations around their deter…
math.PR2012★ 11 cited
Laws of large numbers and Langevin approximations for stochastic neural field equations
Evelyn Buckwar, Martin G. Riedler
In this study we consider limit theorems for microscopic stochastic models of neural fields. We show that the Wilson-Cowan equation can be obtained as the limit in probability on c…