7 citations · 18 across the 15 of their papers we have counts for
20 papers
McKean-Vlasov Equations for Large Networks of Neurons with Adaptive Asymmetric Edges
Daniele Avitabile, James MacLaurin
Classical Mckean-Vlasov theory concerns high-dimensional particle systems for which the effect of one particle on another is instantaneous. However in many applications, particular…
The Isochronal Phase of Stochastic PDE and Integral Equations: Metastability and Other Properties
Zachary P. Adams, James MacLaurin
We study the dynamics of waves, oscillations, and other spatio-temporal patterns in stochastic evolution systems, including SPDE and stochastic integral equations. Representing a g…
Stochastic Rotating Waves
Christian Kuehn, James MacLaurin, Giulio Zucal
Stochastic dynamics has emerged as one of the key themes ranging from models in applications to theoretical foundations in mathematics. One class of stochastic dynamics problems th…
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…
Metastability of Waves and Patterns Subject to Spatially-Extended Noise
James MacLaurin
In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are…
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…