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math.DS2026
Dolgopyat estimate for partially hyperbolic systems: limit theorems and exponential mixing
Roberto Castorrini, Kasun Fernando
We prove a Dolgopyat-type estimate for the twisted transfer operators of a class of two-dimensional partially hyperbolic endomorphisms of the torus, not necessarily skew-products.…
math.DS2026
Repulsive Mean-Field Couplings and Self-Consistent Transfer Operators
Roberto Castorrini, Stefano Galatolo, Matteo Tanzi
We study a one-dimensional self-consistent transfer operator generated by a repulsive mean-field coupling. The interaction admits a natural interpretation as a myopic relocation dy…
math.DS2026
Maharam-Pollicott-Ruelle resonances and self-similar translation flows on abelian covers
Mauro Artigiani, Roberto Castorrini, Davide Ravotti +1
We study self-similar translation flows on -covers of compact translation surfaces. Our main goal is to investigate their ergodic properties with respect to general Ma…