Ont-entropy and variational principle for the spectral radii of transfer and weighted shift operators
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Publication:3018651
DOI10.1017/S0143385710000210zbMath1225.47034arXiv0809.3116OpenAlexW3121596904MaRDI QIDQ3018651
Victor Bakhtin, A. V. Lebedev, Anatolij Antonevich
Publication date: 27 July 2011
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.3116
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38)
Related Items (13)
Spectrum of weighted isometries: \(C^*\)-algebras, transfer operators and topological pressure ⋮ The McMillan theorem for colored branching processes and dimensions of random fractals ⋮ Spectral Potential, Kullback Action, and Large Deviations of Empirical Measures on Measurable Spaces ⋮ A convex analysis approach to entropy functions, variational principles and equilibrium states ⋮ Entropy statistic theorem and variational principle for \(t\)-entropy are equivalent ⋮ On relationships between the spectral potential of transfer operators, \(t\)-entropy, entropy and topological pressure ⋮ The extended Legendre transform and related variational principles ⋮ On transfer operators for \(C^*\)-dynamical systems ⋮ Legendre-Fenchel transform of the spectral exponent of polynomials of weighted composition operators ⋮ Cramér transform and \(t\)-entropy ⋮ Variational principles for spectral radius of weighted endomorphisms of 𝐶(𝑋,𝐷) ⋮ Unnamed Item ⋮ Sup-sums principles for \(F\)-divergence and a new definition for \(t\)-entropy
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