57 citations · 106 across the 8 of their papers we have counts for
8 papers
Linear response for random and sequential intermittent maps
Davor Dragicevic, Cecilia Gonzalez-Tokman, Julien Sedro
This work establishes a quenched (trajectory-wise) linear response formula for random intermittent dynamical systems, consisting of Liverani-Saussol-Vaienti maps with varying param…
Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems
Jason Atnip, Gary Froyland, Cecilia Gonzalez-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…
Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory
Jason Atnip, Gary Froyland, Cecilia Gonzalez-Tokman +1
We consider quasi-compact linear operator cocycles driven by an invertible ergodic pr…
A patch in time saves nine: Methods for the identification of localised dynamical behaviour and lifespans of coherent structures
Chantelle Blachut, Cecilia González-Tokman, Gerardo Hernández-Dueñas
We develop a transfer operator-based method for the detection of coherent structures and their associated lifespans. Characterising the lifespan of coherent structures allows us to…
A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
D. Dragičević, G. Froyland, C. González-Tokman +1
We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding dynamics under general random driving [DrFrGTVa18] to quenched random piecewise…
A spectral approach for quenched limit theorems for random expanding dynamical systems
Davor Dragicevic, Gary Froyland, Cecilia Gonzalez-Tokman +1
We prove quenched versions of (i) a large deviations principle (LDP), (ii) a central limit theorem (CLT), and (iii) a local central limit theorem (LCLT) for non-autonomous dynamica…
Almost sure invariance principle for random piecewise expanding maps
D. Dragicevic, G. Froyland, C. González-Tokman +1
We prove a fiberwise almost sure invariance principle for random piecewise expanding transformations in one and higher dimensions using recent developments on martingale techniques…
Ulam's method for Lasota-Yorke maps with holes
Christopher Bose, Gary Froyland, Cecilia González-Tokman +1
Ulam's method is a rigorous numerical scheme for approximating invariant densities of dynamical systems. The phase space is partitioned into connected sets and an inter-set transit…