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math.DS2025
Local large deviation principle for Smale spaces
David Parmenter
Large deviation principles for hyperbolic systems are well studied and provide exponential rates for the deviations of Birkhoff averages from their limit. This short article presen…
math.DS2024
Constructing equilibrium states for Smale spaces
David Parmenter, Mark Pollicott
There are several known constructions of equilibrium states for Hölder continuous potentials in the context of both subshifts of finite type and uniformly hyperbolic systems. In th…