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math.DS2026
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 …
math.PR2026
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…
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…