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Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 2/2005, Volume 25, Issue 1, pp. 107 - 131
We characterize when a lower entropy locally compact subshift S embeds into a locally compact mixing Markov shift T. As in the compact case (when T is a shift... 
MATHEMATICS | MATHEMATICS, APPLIED | ENTROPY
Journal Article
Israel Journal of Mathematics, ISSN 0021-2172, 12/2002, Volume 131, Issue 1, pp. 221 - 257
We give a general definition of the topological pressureP top (f, S) for continuous real valued functionsf: X→ℝ on transitive countable state Markov shifts (X,... 
Algebra | Analysis | Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | THERMODYNAMIC FORMALISM | MATHEMATICS
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 2002, Volume 270, Issue 1, pp. 935 - 946
We study continuous shift commuting maps from transitive countable state Markov shifts into compact subshifts. The closure of the image is a coded system. On... 
Markov shift | Coded system | Synchronized system | SYSTEMS | COMPUTER SCIENCE, THEORY & METHODS | SUBSHIFTS | coded system | synchronized system
Journal Article
05/2014
For a stochastic process $\{X_t\}_{t \in T}$ with identical one-dimensional margins and upper endpoint $\tau_{\text{up}}$ its tail correlation function (TCF)... 
Mathematics - Probability
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 12/2003, Volume 23, Issue 6, pp. 1785 - 1806
We study the relation between topological entropy and the dispersion of preimages. Symbolic dynamics plays a crucial role in our investigation. For forward... 
MATHEMATICS, APPLIED | COVERS | CONDITIONAL ENTROPY | MAPS | TOPOLOGICAL-ENTROPY
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 2001, Volume 262, Issue 1, pp. 349 - 375
We consider a transitive sofic shift T and a SFT cover f : S → T. We define the multiplicity of the cover (S,f) to be the largest number of preimages of a... 
MINIMAL COVERS | COMPUTER SCIENCE, THEORY & METHODS
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 12/2001, Volume 21, Issue 6, pp. 1731 - 1758
To obtain connections between grammars of languages and subshifts, Krieger introduced the idea of associating to a subshift X a certain increasing sequence of... 
MATHEMATICS, APPLIED | CODED SYSTEMS
Journal Article
Journal fur die Reine und Angewandte Mathematik, ISSN 0075-4102, 1997, Volume 487, pp. 27 - 59
We attach to a local homeomorphism S of a compact zero dimensional metrizable space X two abstract ordered groups, the images group G(S) and the preimages... 
MATHEMATICS | SUBSHIFTS
Journal Article
07/2011
We study the behavior of a real-valued and unobservable process (Y_t) under an extreme event of a related process (X_t) that is observable. Our analysis is... 
Mathematics - Probability
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 4/1997, Volume 17, Issue 2, pp. 349 - 368
We introduce transition entropy and periodic entropy for locally compact subshifts. Finiteness of both characterizes the existence of a finite generator.... 
MATHEMATICS | MATHEMATICS, APPLIED | SPACES
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 9/1993, Volume 13, Issue 3, pp. 485 - 514
Let G be an abstract finite group. For an action alpha of G on a shift of finite type (SFT) S we introduce the periodic data of alpha, a computable... 
INVOLUTIONS | MATHEMATICS, APPLIED | GYRATION NUMBERS | SUBSHIFTS
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 08/1996, Volume 348, Issue 8, pp. 3173 - 3191
We give a general construction of coded systems with an automorphism group isomorphic to m Z\oplus G where G is any preassigned group which has a ``continuous... 
Homomorphisms | Maps | Topological theorems | Alphabets | Coordinate systems | Skeleton | Mathematics | Topology | Block codes | Automorphisms | MATHEMATICS | SHIFT | SUBSHIFTS | FINITE-TYPE
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 05/1995, Volume s3-70, Issue 3, pp. 625 - 643
Let (S, σ) be a transitive locally compact countable state Markov shift. If (Ŝ, σ^) is some compact metric dynamical system (‘cmds’) that contains (S, σ) as a... 
MATHEMATICS
Journal Article
Forum Mathematicum, ISSN 0933-7741, 1992, Volume 4, Issue 4, pp. 77 - 108
Journal Article
Forum Mathematicum, ISSN 0933-7741, 1992, Volume 4, Issue 4, pp. 187 - 216
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 9/1991, Volume 11, Issue 3, pp. 413 - 425
Let (X,S) be a shift of finite type. Let G be the group of automorphisms of (X,S) which are compositions of elements of finite order in the kernel of the... 
MATHEMATICS, APPLIED
Journal Article
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