activity
20232026
most citedAsymptotic limits of transient patterns in a continuous-space interacting particle system

1 citations · 1 across the 4 of their papers we have counts for

collaborators

9 papers

math.DS2026

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…

math.DS2025

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…

math.DS2025

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…

math.DS2025

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…

math.PR20241 cited

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…

math.DS2024

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…