Entropy continuity for interval maps with holes
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2016.115
Abstract: We study the dependence of the topological entropy of piecewise monotonic maps with holes under perturbations, for example sliding a hole of fixed size at uniform speed or expanding a hole at a uniform rate.… read more here.
Keywords: topological entropy; continuity interval; interval maps; maps holes ... See more keywords
Numerical semigroups and periodic orbits for Markov interval maps
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2017.1351558
Abstract: Abstract Interval maps constitute a very important class of discrete dynamical systems with a well developed theory. Our purpose in this paper is to study a particular class of interval maps for which the set… read more here.
Keywords: markov interval; numerical semigroups; orbits markov; interval maps ... See more keywords
Joint ergodicity of piecewise monotone interval maps
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DOI: 10.1088/1361-6544/acd29a
Abstract: For i=0,1,2,…,k , let µ i be a Borel probability measure on [0,1] which is equivalent to the Lebesgue measure λ and let Ti:[0,1]→[0,1] be µ i -preserving ergodic transformations. We say that transformations T0,T1,…,Tk… read more here.
Keywords: ergodicity piecewise; interval maps; monotone interval; joint ergodicity ... See more keywords