1 citations · 2 across the 7 of their papers we have counts for
9 papers
The transition between synchronization and chaos for random Blaschke products
Cecilia González-Tokman, Renee Oldfield
In this paper, we establish sufficient conditions for which a class of random circle maps, the so-called random Blaschke products, exhibits either synchronization or chaotic dynami…
An Improved Autoencoder Conjugacy Network to Learn Chaotic Maps
Meagan Carney, Cecilia González-Tokman, Ruethaichanok Kardkasem +1
We introduce a method for learning chaotic maps using an improved autoencoder neural network that incorporates a conjugacy layer in the latent space. The added conjugacy layer tran…
Average measure theoretic entropy for a family of expanding on average random Blaschke products
Cecilia González-Tokman, Renee Oldfield
This work gives a computable formula for the average measure theoretic entropy of a family of expanding on average random Blaschke products, generalizing work by Pujals, Roberts an…
Jumping for diffusion in random metastable systems
Cecilia González-Tokman, Joshua Peters
Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates fluctuations in a class of rando…
Asymptotic limits of transient patterns in a continuous-space interacting particle system
Cecilia González-Tokman, Dietmar B. Oelz
We study a discrete-time interacting particle system with continuous state space which is motivated by a mathematical model for turnover through branching in actin filament network…
Averaging for random metastable systems
Cecilia González-Tokman, Joshua Peters
Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates a class of random dynamical syst…
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…
Compound Poisson statistics for dynamical systems via spectral perturbation
Jason Atnip, Gary Froyland, Cecilia González-Tokman +1
We consider random transformations where each map acts on a complete metrizable space . The randomness comes from an…
Prevalence of stability for smooth Blaschke product cocycles fixing the origin
Cecilia González-Tokman, Joshua Peters
This work investigates the stability properties of Lyapunov exponents of transfer operator cocycles from a measure-theoretic perspective. Our results focus on so-called Blaschke pr…