4 papers
An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets
Jason Atnip, Gary Froyland, Péter Koltai +1
Lagrangian methods continue to stand at the forefront of the analysis of time-dependent dynamical systems. Most Lagrangian methods have criteria that must be fulfilled by trajector…
Universal Gap Growth for Lyapunov Exponents of Perturbed Matrix Products
Jason Atnip, Gary Froyland, Cecilia González-Tokman +1
We study the quantitative simplicity of the Lyapunov spectrum of -dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we estab…
Extreme Value Theory with Spectral Techniques: application to a simple attractor
Jason Atnip, Nicolai Haydn, Sandro Vaienti
We give a brief account of application of extreme value theory in dynamical systems by using perturbation techniques associated to the transfer operator. We will apply it to the ba…
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…