4 citations · 6 across the 3 of their papers we have counts for
7 papers · 1 filter
Large Deviations of Non-Stochastic Interacting Particles on Sparse Random Graphs
James MacLaurin
This paper concerns the large deviations of a system of interacting particles on a random graph. There is no stochasticity, and the only sources of disorder are the random graph co…
An Emergent Autonomous Flow for Mean-Field Spin Glasses
James MacLaurin
We study the dynamics of symmetric and asymmetric spin-glass models of size . The analysis is in terms of the double empirical process: this contains both the spins, and the fie…
The meanfield limit of a network of Hopfield neurons with correlated synaptic weights
Olivier Faugeras, James Maclaurin, Etienne Tanre
We study the asymptotic behaviour for asymmetric neuronal dynamics in a network of Hopfield neurons. The randomness in the network is modelled by random couplings which are centere…
Phase Reduction of Stochastic Biochemical Oscillators
Paul C. Bressloff, James N. MacLaurin
A common method for analyzing the effects of molecular noise in chemical reaction networks is to approximate the underlying chemical master equation by a Fokker-Planck equation, an…
Synchronization of stochastic hybrid oscillators driven by a common switching environment
Paul Bressloff, James MacLaurin
Many systems in biology, physics and chemistry can be modeled through ordinary differential equations, which are piecewise smooth, but switch between different states according to…
A variational method for analyzing stochastic limit cycle oscillators
Paul Bressloff, James MacLaurin
We introduce a variational method for analyzing limit cycle oscillators in driven by Gaussian noise. This allows us to derive exact stochastic differential equations…