On g-measures in symbolic dynamics

• Verfasst von: Krieger, Wolfgang [VerfasserIn]
• Verfasst von: Weiss, Benjamin [VerfasserIn]
• Titel: On g-measures in symbolic dynamics
• Verf.angabe: by Wolfgang Krieger and Benjamin Weiss
• Umfang: 27 S.
• Fussnoten: First online: 08 June 2010 ; Gesehen am 25.06.2018
• Titel Quelle: Enthalten in: Israel journal of mathematics
• Jahr Quelle: 2010
• Band/Heft Quelle: 176(2010), 1, S. 1-27
• ISSN Quelle: 1565-8511
• DOI: doi:10.1007/s11856-010-0018-9
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1576803864

Abstract

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