Shift endomorphisms and compact Lie extensions

DOI10.1007/BF01245872zbMath0952.37003MaRDI QIDQ4213133

William Parry, Zaqueu Coelho

Publication date: 3 October 2000

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

equilibrium statescompact Lie group extensionsone-sided shifts of finite type

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (6)

Coboundary equations of eventually expanding transformations ⋮ A class of compact group extensions of \(\beta \)-transformations ⋮ Automorphisms of the Bernoulli endomorphism and a class of skew-products ⋮ The mathematical research of William Parry FRS ⋮ Higher dimensional expanding maps and toral extensions ⋮ A class of compact group extensions of Gauss transformation.

Cites Work

• Classifying the isometric extensions of a Bernoulli shift
• A complex Ruelle-Perron-Frobenius theorem and two counterexamples
• Ruelle's Operator Theorem and g-Measures
• Ergodic properties of a class of skew-systems obtained by coupling the translation of the 1-torus with the endomorphism 2x mod (0,1(
• The Livsic Cocycle Equation for Compact Lie Group Extensions of Hyperbolic Systems
• Endomorphisms and automorphisms of the shift dynamical system
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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