4 papers
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 field…
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…
The conditioned Lyapunov spectrum for random dynamical systems
Matheus M. Castro, Dennis Chemnitz, Hugo Chu +3
We establish the existence of a full spectrum of Lyapunov exponents for memoryless random dynamical systems with absorption. To this end, we crucially embed the process conditioned…
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_{…