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- W3100908560 abstract "In this note we study the entropy spectrum of rotation classes for collections of finitely many continuous potentials $varphi_1,dots,varphi_m:Xto mathbb{R}$ with respect to the set of invariant measures of an underlying dynamical system $f:Xto X$. We show for large classes of dynamical systems and potentials that these entropy spectra are maximal in the sense that every value between zero and the maximum is attained. We also provide criteria that imply the maximality of the ergodic entropy spectra. For $m$ being large, our results can be interpreted as a complimentary result to the classical Riesz representation theorem in the dynamical context." @default.
- W3100908560 created "2020-11-23" @default.
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- W3100908560 date "2020-11-08" @default.
- W3100908560 modified "2023-09-25" @default.
- W3100908560 title "Entropy spectrum of rotation classes" @default.
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