6 citations · 13 across the 8 of their papers we have counts for
9 papers
Finite-order exponential mixing does not imply the central limit theorem
Bernat Bassols Cornudella, Matheus M Castro
We show that finite-order exponential mixing does not imply the central limit theorem for smooth diffeomorphisms. For every integer , we construct a …
Conditional Stable Laws and Rare-Event Limits for Absorbing Markov Chains
Bernat Bassols Cornudella, Matheus M Castro
We establish conditional limit theorems, pointwise in the initial state, for absorbing Markov chains on a compact metric space . We assume -continuous transition densi…
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…
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…
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…
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape
Matheus M. Castro, Vincent P. H. Goverse, Jeroen S. W. Lamb +1
In this paper, we consider absorbing Markov chains admitting a quasi-stationary measure on where the transition kernel admits an eigenfunction $0\leq η\i…
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…
Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: a Banach lattice approach
Matheus M. Castro, Jeroen S. W. Lamb, Guillermo Olicón-Méndez +1
We establish the existence and uniqueness of quasi-stationary and quasi-ergodic measures for almost surely absorbed discrete-time Markov chains under weak conditions. We obtain our…
A note on Vishik's normal form
Matheus M. Castro, Ricardo M. Martins, Douglas D. Novaes
The Vishik's Normal Form provides a local smooth conjugation with a linear vector field for smooth vector fields near contacts with a manifold. In the present study, we focus on th…