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math.DS2022
Constrained Ergodic optimization for generic continuous functions
Shoya Motonaga, Mao Shinoda
One of the fundamental results of ergodic optimization asserts that for any dynamical system on a compact metric space with the specification property and for a generic continuous…
math.DS2022
Density of periodic measures and large deviation principle for generalized -transformations
Mao Shinoda, Kenichiro Yamamoto
We introduce generalized -transformations, which include all and generalized -transformations, and prove that all transitive generalized -transformations s…