Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Dan Rust"'
Publikováno v:
Tsukuba Journal of Mathematics. 44
We use generalised Zeckendorf representations of natural numbers to investigate mixing properties of symbolic dynamical systems. The systems we consider consist of bi-infinite sequences associated with so-called random substitutions. We focus on rand
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ebb3354bd255282d80aae595c83b83e
https://doi.org/10.21099/tkbjm/20204402251
https://doi.org/10.21099/tkbjm/20204402251
Autor:
Dan Rust
We study various aspects of periodic points for random substitution subshifts. In order to do so, we introduce a new property for random substitutions called the disjoint images condition. We provide a procedure for determining the property for compa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99ec09500a80c75a7999808cb434494d
https://doi.org/10.1007/s00605-020-01458-9
https://doi.org/10.1007/s00605-020-01458-9
Autor:
Dan Rust, Gregory R. Maloney
Publikováno v:
Ergodic Theory and Dynamical Systems. 38:1086-1117
We study the topology and dynamics of subshifts and tiling spaces associated to non-primitive substitutions in one dimension. We identify a property of a substitution, which we call tameness, in the presence of which most of the possible pathological
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f6b751733f25a5233f2fe2ddb136211
https://doi.org/10.1017/etds.2016.58
https://doi.org/10.1017/etds.2016.58
Autor:
Timo Spindeler, Dan Rust
Random substitutions are a natural generalisation of their classical ‘deterministic’ counterpart, whereby at every step of iterating the substitution, instead of replacing a letter with a predetermined word, every letter is independently replaced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f70e27572c5572d8e9076afa5c51481
https://doi.org/10.1016/j.indag.2018.05.013
https://doi.org/10.1016/j.indag.2018.05.013
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
Autor:
Dan Rust
Read people, bet wisely, and strategize to win: “You'll be able to see what's happening under the surface at work, and prepare for whatever may be ahead.” —Marshall Goldsmith, #1 New York Times–bestselling author of TriggersIn this guide, a c