Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Philipp Gohlke"'
Autor:
Philipp Gohlke, Timo Spindeler
Publikováno v:
Studia Mathematica. 255:265-301
We construct a family of ergodic measures on random substitution subshifts (RS-subshifts) associated to a primitive random substitution. In particular, the word frequencies of every finite legal word exist for almost every element of the random subst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d5482d38a0dbdd40b847ce239055762
https://doi.org/10.4064/sm181026-14-8
https://doi.org/10.4064/sm181026-14-8
Building on works of Berthe-Steiner-Thuswaldner and Fogg-Nous, we show that on the two-dimensional torus, Lebesgue almost every translation admits a natural coding such that the associated subshift satisfies the Boshernitzan criterion. As a consequen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a4c16644db35de823130b9d8fb4cd75
https://doi.org/10.4171/jst/411
https://doi.org/10.4171/jst/411
Here, we study some measures that can be represented by infinite Riesz products of 1-periodic functions and are related to the doubling map. We show that these measures are purely singular continuous with respect to Lebesgue measure and that their di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74e9e8cb5fae6a517c81e60fe30e2773
https://pub.uni-bielefeld.de/record/2957021
https://pub.uni-bielefeld.de/record/2957021
Autor:
Benjamin Eichinger, Philipp Gohlke
Publikováno v:
Annales Henri Poincare
We study the spectral properties of ergodic Schr\"{o}dinger operators that are associated to a certain family of non-primitive substitutions on a binary alphabet. The corresponding subshifts provide examples of dynamical systems that go beyond minima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2613d2400ebf5d556272b659b385ded0
https://pubmed.ncbi.nlm.nih.gov/34720694
https://pubmed.ncbi.nlm.nih.gov/34720694
The classic Thue--Morse measure is a paradigmatic example of a purely singular continuous probability measure on the unit interval. Since it has a representation as an infinite Riesz product, many aspects of this measure have been studied in the past
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c757ebb7a5bfdadc9f6bc6783e175d7c
https://doi.org/10.3934/dcds.2019168
https://doi.org/10.3934/dcds.2019168
We prove that every topologically transitive shift of finite type in one dimension is topologically conjugate to a subshift arising from a primitive random substitution on a finite alphabet. As a result, we show that the set of values of topological
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::137d171e005b2840b189a9211d26dfe8
http://arxiv.org/abs/1712.05340
http://arxiv.org/abs/1712.05340