Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Coven, Ethan M."'
We study the automorphism group of an infinite minimal shift $(X,\sigma)$ such that the complexity difference function, $p(n+1)-p(n)$, is bounded. We give some new bounds on $\mbox{Aut}(X,\sigma)/\langle \sigma \rangle$ and also study the one-sided c
Externí odkaz:
http://arxiv.org/abs/1505.02482
Publikováno v:
Indag. Math. 28 (2017) 91-107
Primitive constant length substitutions generate minimal symbolic dynamical systems. In this article we present an algorithm which can produce the list of injective substitutions of the same length that generate topologically conjugate systems. We sh
Externí odkaz:
http://arxiv.org/abs/1401.0126
We find necessary and sufficient conditions for a dynamical system to be topologically conjugate to any given substitution minimal system, thus extending the results in [CKL] for the Morse and Toeplitz substitutions.
Externí odkaz:
http://arxiv.org/abs/1209.2073
This paper is concerned with the lengths of constant length substitutions that generate topologically conjugate systems. We show that if the systems are infinite, then these lengths must be powers of the same integer. This result is a dynamical formu
Externí odkaz:
http://arxiv.org/abs/1108.4665
Autor:
Coven, Ethan M., Yassawi, Reem
We consider the problem of embedding odometers in one-dimensional cellular automata. We show that (1) every odometer can be be embedded in a gliders with reflecting walls cellular automaton, which one depending on the odometer, and (2) an odometer ca
Externí odkaz:
http://arxiv.org/abs/0908.0477
We establish necessary and sufficient conditions for a dynamical system to be topologically conjugate to the Morse minimal set, the shift orbit closure of the Morse sequence, and conditions for topological conjugacy to the closely related Teoplitz mi
Externí odkaz:
http://arxiv.org/abs/0706.2806
Autor:
Coven, Ethan M., Nitecki, Zbigniew H.
WE trace the beginning of symbolic dynamics--the study of the shift dynamical system--as it arose from the use of coding to study recurrence and transitivity properties of geodesics. The normal citations for the first appearance of symbolic dynamics,
Externí odkaz:
http://arxiv.org/abs/math/0611322
Autor:
Coven, Ethan M., Keane, Michael
Publikováno v:
IMS Lecture Notes--Monograph Series 2006, Vol. 48, 304-305
We give a simple proof of the title.
Comment: Published at http://dx.doi.org/10.1214/074921706000000310 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (htt
Comment: Published at http://dx.doi.org/10.1214/074921706000000310 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (htt
Externí odkaz:
http://arxiv.org/abs/math/0608257
We consider a left permutive cellular automaton Phi, with no memory and positive anticipation, defined on the space of all doubly infinite sequences with entries from a finite alphabet. For each such automaton that is not one-to-one, there is a dense
Externí odkaz:
http://arxiv.org/abs/math/0511030
A finite collection $P$ of finite sets tiles the integers iff the integers can be expressed as a disjoint union of translates of members of $P$. We associate with such a tiling a doubly infinite sequence with entries from $P$. The set of all such seq
Externí odkaz:
http://arxiv.org/abs/math/9810024