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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2010
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| In: |
Israel journal of mathematics
Year: 2010, Volume: 176, Issue: 1, Pages: 1-27 |
| ISSN: | 1565-8511 |
| DOI: | 10.1007/s11856-010-0018-9 |
| Online Access: | 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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| Author Notes: | by Wolfgang Krieger and Benjamin Weiss |
| Summary: | 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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| Item Description: | First online: 08 June 2010 Gesehen am 25.06.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1565-8511 |
| DOI: | 10.1007/s11856-010-0018-9 |