Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Sélley, Fanni M."'
A continued fraction algorithm allows to represent numbers in a way that is particularly valuable if one wants to approximate irrational numbers by rationals. Some of these algorithms are simple in the sense that the possible representations can be c
Externí odkaz:
http://arxiv.org/abs/2406.18689
We study infinite systems of globally coupled Anosov diffeomorphisms with weak coupling strength. Using transfer operators acting on anisotropic Banach spaces, we prove that the coupled system admits a unique physical invariant state, $h_\varepsilon$
Externí odkaz:
http://arxiv.org/abs/2208.02517
Autor:
Sélley, Fanni M.
It is well known that the Liverani-Saussol-Vaienti map satisfies a central limit theorem for H\"older observables in the parameter regime where the correlations are summable. We show that when $C^2$ observables are considered, the variance of the lim
Externí odkaz:
http://arxiv.org/abs/2202.02048
Autor:
Sélley, Fanni M., Tanzi, Matteo
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 each cluster is described by a probability measure, and its evolution
Externí odkaz:
http://arxiv.org/abs/2110.05618
Autor:
Bahsoun, Wael, Sélley, Fanni M.
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 information about collisions per lattice unit. More precisely, we stu
Externí odkaz:
http://arxiv.org/abs/2104.10233
Autor:
Fernandez, Bastien, Selley, Fanni M.
We propose a systematic approach to the construction of invariant union of polytopes (IUP) in expanding piecewise affine mappings whose linear components are isotropic scalings. The approach relies on using empirical information embedded in trajector
Externí odkaz:
http://arxiv.org/abs/2008.04566
Autor:
Sélley, Fanni M., Tanzi, Matteo
Publikováno v:
Commuications in Mathematical Physics, vol. 382, no. 3, pp. 1601-1624, 2021
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 evolution is given by the action of a nonlinear operator, also called a s
Externí odkaz:
http://arxiv.org/abs/2001.01317
Autor:
Sélley, Fanni M.
Publikováno v:
Journal of Computational Dynamics, vol. 8, no. 1, pp. 9-32, 2021
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 current statistics. The general framework admits popular examples such as
Externí odkaz:
http://arxiv.org/abs/1909.04484
Publikováno v:
Nonlinearity, vol. 31, no. 8, p. 3770, 2018
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 uncoupled system admits a unique absolutely continuous invariant measure (acim
Externí odkaz:
http://arxiv.org/abs/1711.05461
Autor:
Sélley, Fanni M.
Publikováno v:
Discrete & Continuous Dynamical Systems-A, vol. 38, no. 8, p. 3707, 2018
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 interaction, but the case of stronger coupling is still unexplored. As in th
Externí odkaz:
http://arxiv.org/abs/1612.01310