On g-measures in symbolic dynamics
Finitary Markov processes are described in G. Morvai and B. Weiss, Prediction for discrete time series, Probability Theory and Related Fields 132 (2005), 1-12. The transition functions of finitary Markov processes are residually locally constant g-functions that can be extended by continuity to thei...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2010
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| In: |
Israel journal of mathematics
Year: 2010, Jahrgang: 176, Heft: 1, Pages: 1-27 |
| ISSN: | 1565-8511 |
| DOI: | 10.1007/s11856-010-0018-9 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/s11856-010-0018-9 Verlag, Volltext: https://link.springer.com/article/10.1007/s11856-010-0018-9 
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| Verfasserangaben: | by Wolfgang Krieger and Benjamin Weiss |
MARC
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| 520 | |a Finitary Markov processes are described in G. Morvai and B. Weiss, Prediction for discrete time series, Probability Theory and Related Fields 132 (2005), 1-12. The transition functions of finitary Markov processes are residually locally constant g-functions that can be extended by continuity to their maximal domain of definition. The study of their associated symbolic dynamics leads one to the D-shifts as introduced in W. Krieger, On g-functions for subshifts, Institute of Mathematical Statistics Lecture Notes-Monograph Series, Vol. 48, Dynamics & Stochastics, arXiv:math.DS/0608259, (2006), 306-316, We study the phenomena that can arise in residually locally constant and locally constant maximally defined g-functions on D-shifts, Markov shifts and synchronizing systems with respect to future measures and g-measures | ||
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