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of 3
pro vyhledávání: '"Malte Steffens"'
Letting $T$ denote an ergodic transformation of the unit interval and letting $f \colon [0,1)\to \mathbb{R}$ denote an observable, we construct the $f$-weighted return time measure $\mu_y$ for a reference point $y\in[0,1)$ as the weighted Dirac comb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a48c6e8e5837fc24881ee55d1a713d14
http://arxiv.org/abs/1801.07608
http://arxiv.org/abs/1801.07608
Given an $\alpha > 1$ and a $\theta$ with unbounded continued fraction entries, we characterise new relations between Sturmian subshifts with slope $\theta$ with respect to (i) an $\alpha$-H\"oder regularity condition of a spectral metric, (ii) level
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7325363594a68d90a3db5a69c398d0be
http://arxiv.org/abs/1601.06435
http://arxiv.org/abs/1601.06435
Publikováno v:
Bulletin of Mathematical Sciences, Vol 8, Iss 3, Pp 413-434 (2017)
At the turn of this century Durand, and Lagarias and Pleasants established that key features of minimal subshifts (and their higher-dimensional analogues) to be studied are linearly repetitive, repulsive and power free. Since then, generalisations an