Bernat Bassols Cornudella · wovepaper

collaborators

3 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 $R \geq 2$ , we construct a $C^{\infty}$ …

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 $M$ . We assume $L^{1} (M, ρ)$ -continuous transition densi…

Conditioned stochastic stability of equilibrium states on uniformly hyperbolic sets

Bernat Bassols Cornudella, Matheus M. Castro

We establish the conditioned stochastic stability of equilibrium states for Hölder potentials on uniformly hyperbolic sets. While standard stochastic stability characterises measur…