AN ERGODIC THEOREM FOR QUANTUM DIAGONAL MEASURES

DOI10.1142/S0219025709003665zbMath1248.37010arXivmath/0702101MaRDI QIDQ5325573

Francesco Fidaleo

Publication date: 10 August 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702101

zbMATH Keywords

spectral theoryergodic theoremquantum diagonal measure

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (12)

Diagonal couplings of quantum Markov chains ⋮ Balance between quantum Markov semigroups ⋮ Long-time dynamics in quantum spin lattices: ergodicity and hydrodynamic projections at all frequencies and wavelengths ⋮ Ergodicity and mixing of \(W^*\)-dynamical systems in terms of joinings ⋮ \(C^*\)-Fermi systems and detailed balance ⋮ On the pointwise entangled ergodic theorem ⋮ Relative ergodic properties of C*-dynamical systems ⋮ Nonconventional ergodic theorems for quantum dynamical systems ⋮ ERGODIC PROPERTIES OF BOGOLIUBOV AUTOMORPHISMS IN FREE PROBABILITY ⋮ Fermionic quantum detailed balance and entanglement ⋮ The entangled ergodic theorem in the almost periodic case ⋮ Invariant conditional expectations and unique ergodicity for Anzai skew-products

Cites Work

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• KMS states and the chemical potential for disordered systems
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Tensor products of operator algebras
• ON THE ENTANGLED ERGODIC THEOREM
• Notions of Independence Related to the Free Group
• NOTE ON ENTANGLED ERGODIC THEOREMS

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