3 papers
math.DS2026
Thermodynamic formalism for hyperbolic random dynamical systems
Lucas Amorim, Matheus M Castro, Benoit Saussol +1
We develop thermodynamic formalism for random Anosov maps and uniformly Hölder random potentials. We assume uniform fibre hyperbolicity given by deterministic invariant cone fields…
math.DS2024
Conditioned stochastic stability of equilibrium states on uniformly expanding repellers
Bernat Bassols Cornudella, Matheus Manzatto de Castro, Jeroen S. W. Lamb
We propose a notion of conditioned stochastic stability of invariant measures on repellers: we consider whether quasi-ergodic measures of absorbing Markov processes, generated by r…
math.DS2023
Random Young towers and quenched decay of correlations for predominantly expanding multimodal circle maps
Matheus M. Castro, Giuseppe Tenaglia
In this paper, we study the random dynamical system generated by a family of maps $f_{ω_0…