37 citations · 97 across the 9 of their papers we have counts for
4 papers · 1 filter
Extensive escape rate in lattices of weakly coupled expanding maps with holes
Jean-Baptiste Bardet, Bastien Fernandez
This paper discusses possible approaches to the escape rate in infinite lattices of weakly coupled maps with uniformly expanding repeller. It is proved that computed-via-volume rat…
Stochastically stable globally coupled maps with bistable thermodynamic limit
Jean-Baptiste Bardet, Gerhard Keller, Roland Zweimüller
We study systems of globally coupled interval maps, where the identical individual maps have two expanding, fractional linear, onto branches, and where the coupling is introduced v…
Limit theorems for coupled interval maps
Jean-Baptiste Bardet, Sebastien Gouezel, Gerhard Keller
We prove a local limit theorem for Lipschitz continuous observables on a weakly coupled lattice of piecewise expanding interval maps. The core of the paper is a proof that the spec…
Phase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling
Jean-Baptiste Bardet, Gerhard Keller
We construct a mixing continuous piecewise linear map on [-1,1] with the property that a two-dimensional lattice made of these maps with a linear north and east nearest neighbour c…