Process Dimension of Classical and Non-Commutative Processes

DOI10.1142/S1230161212500072zbMath1262.60033arXiv1108.3984OpenAlexW3098288251MaRDI QIDQ2884799

Nihat Ay, Arleta Szkoła, Wolfgang Löhr

Publication date: 18 May 2012

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3984

zbMATH Keywords

stateconditional distributionproduct spacesergodic decompositionfinite dimensional C\(^{ \ast }\)-algebraobservable operator modeltranslation invariant probabilities

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) General theory of stochastic processes (60G07) General theory of (C^*)-algebras (46L05)

Cites Work

• Properties of the statistical complexity functional and partially deterministic HMMs
• Toward a quantitative theory of self-generated complexity
• Finitely correlated states on quantum spin chains
• On Stochastic Processes Derived From Markov Chains

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