Markov and Almost Markov Properties in One, Two or More Directions
| Autor: | van Enter, Aernout C.D., Ny, Arnaud Le, Paccaut, Frédéric |
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| Přispěvatelé: | Dynamical Systems, Geometry & Mathematical Physics |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Markov Processes and Related Fields, 27(3), 315-337 |
| ISSN: | 1024-2953 |
| Popis: | In this review-type paper written at the occasion of the Oberwolfach workshop {\em One-sided vs. Two-sided stochastic processes} (february 22-29, 2020), we discuss and compare Markov properties and generalisations thereof in more directions, as well as weaker forms of conditional dependence, again either in one or more directions. In particular, we discuss in both contexts various extensions of Markov chains and Markov fields and their properties, such as $g$-measures, Variable Length Markov Chains, Variable Neighbourhood Markov Fields, Variable Neighbourhood (Parsimonious) Random Fields, and Generalized Gibbs Measures. arXiv admin note: substantial text overlap with arXiv:1812.06155 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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