Algebraic Entropy of Generalized Shifts on Direct Products

DOI10.1080/00927870903337984zbMath1278.20073arXiv1006.5208OpenAlexW3103656145MaRDI QIDQ5390556

Anna Giordano Bruno

Publication date: 4 April 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5208

zbMATH Keywords

Abelian groupsdirect productsalgebraic entropygeneralized shifts

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items

Weighted generalized shift operators on \(\ell^p\) spaces, Entropy on abelian groups, STRING NUMBERS OF ABELIAN GROUPS, Specification properties on uniform spaces, Algebraic entropy for amenable semigroup actions, A soft introduction to algebraic entropy, New and old facts about entropy in uniform spaces and topological groups, Multiplicative invariants and length functions over valuation domains, Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts, Adjoint entropy vs topological entropy, The Pinsker subgroup of an algebraic flow, Length functions, multiplicities and algebraic entropy, Is there any nontrivial compact generalized shift operator on Hilbert spaces?, Adjoint algebraic entropy., Semi-distality and related topics in generalized shift dynamical systems, A bridge theorem for the entropy of semigroup actions, Entropy on normed semigroups (towards a unifying approach to entropy), On Proximal Relations in Transformation Semigroups Arising from Generalized Shifts, Intrinsic entropy for generalized quasimetric semilattices, Distributional Chaotic Generalized Shifts

Cites Work

• Algebraic Entropy of Shift Endomorphisms on Abelian Groups
• Algebraic entropy for Abelian groups
• Algebraic and other entropies of group endomorphisms