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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.DS2025
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…