Uniform Entropy Scalings of Filtrations

DOI10.1007/978-3-030-28535-7_7zbMath1452.60022OpenAlexW2991597429MaRDI QIDQ5126525

Stéphane Laurent

Publication date: 20 October 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28535-7_7

zbMATH Keywords

entropystandardness

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Foundations of stochastic processes (60G05)

Cites Work

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• The filtration of the split-words process
• Standardness and nonstandardness of next-jump time filtrations
• Further comments on the representation problem for stationary processes
• Four definitions of the scale of an automorphism
• Processes with no standard extension
• Interrelations between various definitions of the entropy of decreasing sequences of partitions: Scaling
• The problem of describing central measures on the path spaces of graded graphs
• Continuum of pairwise nonisomorphic dyadic sequences
• Random Graphs and Complex Networks
• Vershik’s Intermediate Level Standardness Criterion and the Scale of an Automorphism
• Standardness of monotonic Markov filtrations
• On Vershikian and I-Cosy Random Variables and Filtrations
• On Standardness and I-cosiness
• Scaled Entropy of Filtrations of $\sigma$-Fields
• Entropy and ${\bi r}$ equivalence
• Dyadic equivalence to completely positive entropy

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