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20122021
most citedStability and approximation of random invariant densities for Lasota-Yorke map cocycles

1 citations · 2 across the 5 of their papers we have counts for

collaborators

6 papers

math.DS20211 cited

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…

math.DS2021

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},…

math.DS2021

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…

math.DS2018

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…

math.DS2017

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…

math.DS20121 cited

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…