Measures of maximal entropy for suspension flows
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02565-x
Abstract: We study suspension flows defined over sub-shifts of finite type with continuous roof functions. We prove the existence of suspension flows with uncountably many ergodic measures of maximal entropy. More generally, we prove that any… read more here.
Keywords: measures maximal; entropy suspension; maximal entropy; suspension ... See more keywords
A strongly irreducible affine iterated function system with two invariant measures of maximal dimension
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2020.107
Abstract: Abstract A classical theorem of Hutchinson asserts that if an iterated function system acts on $\mathbb {R}^{d}$ by similitudes and satisfies the open set condition then it admits a unique self-similar measure with Hausdorff dimension… read more here.
Keywords: measures maximal; dimension; iterated function; invariant measures ... See more keywords