14 citations · 37 across the 7 of their papers we have counts for
7 papers
Differentiability of the diffusion coefficient for a family of intermittent maps
Fanni M. Sélley
It is well known that the Liverani-Saussol-Vaienti map satisfies a central limit theorem for Hölder observables in the parameter regime where the correlations are summable. We show…
Synchronization for Networks of Globally Coupled Maps in the Thermodynamic Limit
Fanni M. Sélley, Matteo Tanzi
We study a network of finitely many interacting clusters where each cluster is a collection of globally coupled circle maps in the thermodynamic (or mean field) limit. The state of…
Map lattices coupled by collisions: hitting time statistics and collisions per lattice unit
Wael Bahsoun, Fanni M. Sélley
We study map lattices coupled by collision and show how perturbations of transfer operators associated with the spatially periodic approximation of the model can be used to extract…
Linear Response for a Family of Self-Consistent Transfer Operators
Fanni M. Sélley, Matteo Tanzi
We study a system of all-to-all weakly coupled uniformly expanding circle maps in the thermodynamic limit. The state of the system is described by a probability measure and its evo…
A self-consistent dynamical system with multiple absolutely continuous invariant measures
Fanni M. Sélley
In this paper we study a class of \emph{self-consistent dynamical systems}, self-consistent in the sense that the discrete time dynamics is different in each step depending on curr…
Synchronization versus stability of the invariant distribution for a class of globally coupled maps
Péter Bálint, Gerhard Keller, Fanni M. Sélley +1
We study a class of globally coupled maps in the continuum limit, where the individual maps are expanding maps of the circle. The circle maps in question are such that the uncouple…
Symmetry breaking in a globally coupled map of four sites
Fanni M. Sélley
A system of four globally coupled doubling maps is studied in this paper. It is known that such systems have a unique absolutely continuous invariant measure (acim) for weak intera…