Non-regular g-measures and variable length memory chains

DOI10.1088/1361-6544/aba0c5zbMath1456.60079arXiv1907.02442OpenAlexW2955346343MaRDI QIDQ5136519

Frederic Paccaut, Sandro Gallo, Ricardo Felipe Ferreira

Publication date: 26 November 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.02442

zbMATH Keywords

\(g\)-measuresvariable length memoryprobabilistic context tree

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Discrete-time Markov processes on general state spaces (60J05) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Variable length memory chains: characterization of stationary probability measures ⋮ On a family of singular continuous measures related to the doubling map

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular \(g\)-measures are not always Gibbsian
• Conditional ergodicity in infinite dimension
• Approximate group context tree
• Random Markov processes and uniform martingales
• Basic properties of strong mixing conditions. A survey and some open questions
• Transformations of Gibbs measures
• Square summability of variations of \(g\)-functions and uniqueness of \(g\)-measures
• Dynamic uniqueness for stochastic chains with unbounded memory
• Persistent random walks. II. Functional scaling limits
• Persistent random walks. I. Recurrence versus transience
• Chains with complete connections: general theory, uniqueness, loss of memory and mixing properties
• Entropic repulsion and lack of the \(g\)-measure property for Dyson models
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Perfect simulation for locally continuous chains of infinite order
• Context tree selection and linguistic rhythm retrieval from written texts
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• Strongly mixing g-measures
• Backward Coalescence Times for Perfect Simulation of Chains with Infinite Memory
• Context Trees, Variable Length Markov Chains and Dynamical Sources
• Stochastic Processes With Random Contexts: A Characterization and Adaptive Estimators for the Transition Probabilities
• Chains with unbounded variable length memory: perfect simulation and a visible regeneration scheme
• Uniqueness and ergodic properties of attractive g-measures
• A universal data compression system
• Ruelle's Operator Theorem and g-Measures
• [https://portal.mardi4nfdi.de/wiki/Publication:4766476 Principe variationnel et syst�mes dynamiques symboliques]
• On non-regularg-measures
• Perfect simulation of processes with long memory: A “coupling into and from the past” algorithm
• On the relation between Gibbs and -measures
• Stationary Processes and Prediction Theory. (AM-44)
• Sur des chaînes à liaisons complètes

This page was built for publication: Non-regular g-measures and variable length memory chains