232 citations · 930 across the 41 of their papers we have counts for
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math.DS2019★ 19 cited
Probabilistic Foundations of Spatial Mean-field Models in Ecology and Applications
Denis D. Patterson, Simon A. Levin, A. Carla Staver +1
Deterministic models of vegetation often summarize, at a macroscopic scale, a multitude of intrinsically random events occurring at a microscopic scale. We bridge the gap between t…
nlin.AO2019★ 23 cited
Noise-induced synchronization and anti-resonance in excitable systems; Implications for information processing in Parkinson's Disease and Deep Brain Stimulation
Jonathan D. Touboul, Charlotte Piette, Laurent Venance +1
We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicini…