TY - JOUR
T1 - On g-measures in symbolic dynamics
AU - Krieger, Wolfgang
AU - Weiss, Benjamin
PY - 2010/3
Y1 - 2010/3
N2 - 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
AB - 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
UR - http://www.scopus.com/inward/record.url?scp=77953500543&partnerID=8YFLogxK
U2 - 10.1007/s11856-010-0018-9
DO - 10.1007/s11856-010-0018-9
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AN - SCOPUS:77953500543
SN - 0021-2172
VL - 176
SP - 1
EP - 27
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -