Variable length memory chains: characterization of stationary probability measures
DOI10.3150/20-BEJ1299zbMath1479.60149arXiv2004.07893OpenAlexW3162601912MaRDI QIDQ2040105
Peggy Cénac, Brigitte Chauvin, Nicolas Pouyanne, Camille Noûs, Frederic Paccaut
Publication date: 9 July 2021
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.07893
semi-Markov chainsstationary probability measurelongest internal suffixstable context treesvariable length memory chains
Stationary stochastic processes (60G10) Discrete-time Markov processes on general state spaces (60J05) Combinatorial probability (60C05) Markov renewal processes, semi-Markov processes (60K15) Convergence of probability measures (60B10)
Cites Work
- Context tree selection: a unifying view
- Random walks and percolation on trees
- On chains of infinite order
- Semi-Markov chains and hidden semi-Markov models toward applications. Their use in reliability and DNA analysis.
- Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
- Square summability of variations of \(g\)-functions and uniqueness of \(g\)-measures
- Persistent random walks. I. Recurrence versus transience
- Chains with complete connections: general theory, uniqueness, loss of memory and mixing properties
- Testing statistical hypothesis on random trees and applications to the protein classification problem
- Recurrence of multidimensional persistent random walks. Fourier and series criteria
- Perfect simulation for locally continuous chains of infinite order
- Probability on Trees and Networks
- Persistent random walks, variable length Markov chains and piecewise deterministic Markov processes
- Backward Coalescence Times for Perfect Simulation of Chains with Infinite Memory
- Context Trees, Variable Length Markov Chains and Dynamical Sources
- Chains with unbounded variable length memory: perfect simulation and a visible regeneration scheme
- Exponential inequalities for empirical unbounded context trees
- Context tree estimation for not necessarily finite memory processes, via BIC and MDL
- A universal data compression system
- On non-regularg-measures
- Non-regular g-measures and variable length memory chains
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Sur des chaînes à liaisons complètes
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