Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Tony Samuel"'
Publikováno v:
Mathematics, Vol 8, Iss 6, p 903 (2020)
The subshift of finite type property (also known as the Markov property) is ubiquitous in dynamical systems and the simplest and most widely studied class of dynamical systems are β -shifts, namely transformations of the form T β , α : x ↦ β x
Externí odkaz:
https://doaj.org/article/1dc4ae091ad74be5aff97a8c07f20913
Publikováno v:
Horizons of Fractal Geometry and Complex Dimensions. :133-142
In 2002 Freiberg and Z\"ahle introduced and developed a harmonic calculus for measure-geometric Laplacians associated to continuous distributions. We show their theory can be extended to encompass distributions with finite support and give a matrix r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d75368597127a086ce7ce9b0cb45a346
https://doi.org/10.1090/conm/731/14676
https://doi.org/10.1090/conm/731/14676
Publikováno v:
Contemporary Mathematics ISBN: 9781470435813
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97ac5ae54bc1693d4b807ed05f7063ed
https://doi.org/10.1090/conm/731
https://doi.org/10.1090/conm/731
Publikováno v:
Stochastics and Dynamics. :2102001
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a36c56beb04e745e9b7478b2b55670c
https://doi.org/10.1142/s0219493721020019
https://doi.org/10.1142/s0219493721020019
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
Publikováno v:
Annales Henri Poincaré. 17:2585-2621
We consider a family $${\{T_{r}: [0, 1] \circlearrowleft \}_{r\in[0, 1]}}$$ of Markov interval maps interpolating between the tent map $${T_{0}}$$ and the Farey map $${T_{1}}$$ . Letting $${\mathcal{P}_{r}}$$ denote the Perron–Frobenius operator of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13c6aee61c84f3beb87819b6de2bac15
https://doi.org/10.1007/s00023-015-0451-8
https://doi.org/10.1007/s00023-015-0451-8
Publikováno v:
Li, B, Sahlsten, T & Samuel, T 2016, ' Intermediate beta-shifts of finite type ', Discrete and Continuous Dynamical Systems, vol. 36, no. 1, pp. 323-344 . https://doi.org/10.3934/dcds.2016.36.323
An aim of this article is to highlight dynamical differences between the greedy, and hence the lazy, $\beta$-shift (transformation) and an intermediate $\beta$-shift (transformation), for a fixed $\beta \in (1, 2)$. Specifically, a classification in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95e0907e6a5269990b8f55964b374882
https://doi.org/10.3934/dcds.2016.36.323
https://doi.org/10.3934/dcds.2016.36.323
In 2012 Lau and Ngai, motivated by the work of Denker and Sato, gave an example of an isotropic Markov chain on the set of finite words over a three letter alphabet, whose Martin boundary is homeomorphic to the Sierpi\'nski gasket. Here, we extend th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8476786651d7e6e3dfab9e82f1ed2f75
http://arxiv.org/abs/1710.04414
http://arxiv.org/abs/1710.04414
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 156:505-519
Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this result, we describe a new algorithm for calculatin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3839dd84065ee431077ea070db3daaea
https://doi.org/10.1017/s0305004114000061
https://doi.org/10.1017/s0305004114000061
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