161 citations · 2k across the 112 of their papers we have counts for
17 papers · 1 filter
Critical coupling thresholds for tilted Kuramoto-Vicsek models with a confining potential
Benedetta Bertoli, Benjamin D. Goddard, Grigorios A. Pavliotis
We study a Kuramoto-Vicsek model of self-propelled particles with periodic boundary conditions subject to a constant angular tilt and a confining potential, and its mean-field (Fok…
Stability of stationary states for mean field models with multichromatic interaction potentials
Benedetta Bertoli, Benjamin D. Goddard, Grigorios A. Pavliotis
We consider weakly interacting diffusions on the torus, for multichromatic interaction potentials. We consider interaction potentials that are not H-stable, leading to phase transi…
Mobility estimation for Langevin dynamics using control variates
G. A. Pavliotis, G. Stoltz, U. Vaes
The scaling of the mobility of two-dimensional Langevin dynamics in a periodic potential as the friction vanishes is not well understood for non-separable potentials. Theoretical r…
Bayesian Mechanics for Stationary Processes
Lancelot Da Costa, Karl Friston, Conor Heins +1
This paper develops a Bayesian mechanics for adaptive systems. Firstly, we model the interface between a system and its environment with a Markov blanket. This affords conditions u…
Scaling limits for the generalized Langevin equation
G. A. Pavliotis, G. Stoltz, U. Vaes
In this paper, we study the diffusive limit of solutions to the generalized Langevin equation (GLE) in a periodic potential. Under the assumption of quasi-Markovianity, we obtain s…
Brownian Motion in an N-scale periodic Potential
A. B. Duncan, G. A. Pavliotis
We study the problem of Brownian motion in a multiscale potential. The potential is assumed to have N+1 scales (i.e. N small scales and one macroscale) and to depend periodically o…