13 citations · 35 across the 12 of their papers we have counts for
13 papers
Equilibrium states for non-transitive random open and closed dynamical systems
Jason Atnip, Gary Froyland, Cecilia González-Tokman +1
We prove a random Ruelle--Perron--Frobenius theorem and the existence of relative equilibrium states for a class of random open and closed interval maps, without imposing transitiv…
Invariant measures for random expanding on average Saussol maps
Fawwaz Batayneh, Cecilia González-Tokman
In this paper, we investigate the existence of random absolutely continuous invariant measures (ACIP) for random expanding on average Saussol maps in higher dimensions. This is don…
Thermodynamic Formalism for Random Interval Maps with Holes
Jason Atnip, Gary Froyland, Cecilia González-Tokman +1
We develop a quenched thermodynamic formalism for open random dynamical systems generated by finitely branched, piecewise-monotone mappings of the interval. The openness refers to…
On the number of invariant measures for random expanding maps in higher dimensions
Fawwaz Batayneh, Cecilia González-Tokman
In \cite{J}, Jabłoński proved that a piecewise expanding multidimensional Jabłoński map admits an absolutely continuous invariant probability measure (ACIP). In \cite{BL},…
Lyapunov exponents for transfer operator cocycles of metastable maps: a quarantine approach
Cecilia González-Tokman, Anthony Quas
This works investigates the Lyapunov-Oseledets spectrum of transfer operator cocycles associated to one-dimensional random paired tent maps depending on a parameter , quantifyin…
A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems
Chantelle Blachut, Cecilia González-Tokman
Coherent structures are spatially varying regions which disperse minimally over time and organise motion in non-autonomous systems. This work develops and implements algorithms pro…
Thermodynamic Formalism for Random Weighted Covering Systems
Jason Atnip, Gary Froyland, Cecilia González-Tokman +1
We develop a quenched thermodynamic formalism for random dynamical systems generated by countably branched, piecewise-monotone mappings of the interval that satisfy a random coveri…
Stability and Collapse of the Lyapunov spectrum for Perron-Frobenius Operator cocycles
Cecilia González-Tokman, Anthony Quas
In this paper, we study random Blaschke products, acting on the unit circle, and consider the cocycle of Perron-Frobenius operators acting on Banach spaces of analytic functions on…
Hilbert Space Lyapunov Exponent stability
Gary Froyland, Cecilia González-Tokman, Anthony Quas
We study cocycles of compact operators acting on a separable Hilbert space, and investigate the stability of the Lyapunov exponents and Oseledets spaces when the operators are subj…
A concise proof of the Multiplicative Ergodic Theorem on Banach spaces
Cecilia González-Tokman, Anthony Quas
We give a streamlined proof of the multiplicative ergodic theorem for quasi-compact operators on Banach spaces with a separable dual.
Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles
Gary Froyland, Cecilia González-Tokman, Anthony Quas
We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-invertible matrix cocycles, subjected to small random perturbation…
Stability and approximation of random invariant densities for Lasota-Yorke map cocycles
Gary Froyland, Cecilia González-Tokman, Anthony Quas
We establish stability of random absolutely continuous invariant measures (acims) for cocycles of random Lasota-Yorke maps under a variety of perturbations. Our family of random ma…
A semi-invertible operator Oseledets theorem
Cecilia González-Tokman, Anthony Quas
Semi-invertible multiplicative ergodic theorems establish the existence of an Oseledets splitting for cocycles of non-invertible linear operators (such as transfer operators) over…