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math.DS2017
Lyapunov optimization for non-generic one-dimensional expanding Markov maps
Mao Shinoda, Hiroki Takahasi
For a non-generic, yet dense subset of expanding Markov maps of the interval we prove the existence of uncountably many Lyapunov optimizing measures which are ergodic, fully…
math.DS2017
Ergodic Maximizing Measures of Non-Generic, Yet Dense Continuous Functions
Mao Shinoda
Ergodic optimization aims to single out dynamically invariant Borel probability measures which maximize the integral of a given "performance" function. For a continuous self-map of…