64 citations · 535 across the 76 of their papers we have counts for
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math.PR2014★ 4 cited
On the Hamiltonian structure of large deviations in stochastic hybrid systems
Paul Bressloff, Olivier Faugeras
We develop the connection between large deviation theory and more applied approaches to stochastic hybrid systems by highlighting a common underlying Hamiltonian structure. A stoch…
q-bio.NC2014
Nonlinear Langevin equations for wandering patterns in stochastic neural fields
Paul C. Bressloff, Zachary P. Kilpatrick
We analyze the effects of additive, spatially extended noise on spatiotemporal patterns in continuum neural fields. Our main focus is how fluctuations impact patterns when they are…