Factor maps, entropy and fiber cardinality for Markov shifts

DOI10.1216/rmjm/1020171674zbMath0998.37003OpenAlexW2028668771MaRDI QIDQ1596559

Doris Fiebig

Publication date: 16 November 2002

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-3/CONT31-3/CONT31-3.html

zbMATH Keywords

Markov shiftsfactor mapGurevic entropy

Mathematics Subject Classification ID

Symbolic dynamics (37B10)

Related Items

Topological entropy of maps on the real line, Sliding block codes between shift spaces over infinite alphabets, Nonexpansive directions in the Jeandel-Rao Wang shift, Continuous shift commuting maps between ultragraph shift spaces, 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics, Almost isomorphism for countable state Markov shifts, Factor theorems for locally compact Markov shifts II, Markov partitions for toral \(\mathbb{Z}^2\)-rotations featuring Jeandel-Rao Wang shift and model sets

Cites Work

• Systèmes codés. (Coded systems)
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Chains, entropy, coding
• Entropy and finite generators for locally compact subshifts
• Graphs with pre-assigned Salama entropies and optimal degrees for locally compact Markov shifts
• Common extensions and hyperbolic factor maps for coded systems
• Topological Boundaries for Countable State Markov Shifts
• An Introduction to Symbolic Dynamics and Coding
• Factor theorems for locally compact Markov shifts II
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Common extensions for locally compact Markov shifts
• Compact factors of countable state Markov shifts.
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