Matheus M. Castro

activity

20232026

collaborators

Showing math.DSShow all

3 papers · 1 filter

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 $f_{ω}^{n}$ generated by a family of maps ${f_{ω_{0}} : S^{1} \to S^{1}}_{ω_{0} \in [- ε, ε]},$ $f_{ω_0…