Jason Atnip

activity

20172024

most citedThermodynamic Formalism for Random Weighted Covering Systems

13 citations · 36 across the 14 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.DS2023

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 $d$ -dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we estab…

math.DS2023★ 1 cited

Compound Poisson statistics for dynamical systems via spectral perturbation

Jason Atnip, Gary Froyland, Cecilia González-Tokman +1

We consider random transformations $T_{ω}^{n} := T_{σ^{n - 1} ω} \circ \dots \circ T_{σ ω} \circ T_{ω},$ where each map $T_{ω}$ acts on a complete metrizable space $M$ . The randomness comes from an…

math.DS2023

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…