FURSTENBERG-TYPE FORMULAS OVER SHIFT SPACES

2003 ◽  
Vol 03 (04) ◽  
pp. 499-527
Author(s):  
SUSANNE KOCH
Keyword(s):  
Markov Chains ◽  
Integral Representation ◽  
Harmonic Functions ◽  
Type Formula ◽  
Shift Spaces ◽  
Type Integral ◽  
Self Similar

We define a class of Markov chains of unbounded range on word spaces and deduce a Furstenberg-type integral representation for a subspace of the P-harmonic functions. As an application we obtain a Furstenberg-type formula for a set of continuous harmonic functions on p.c.f. self-similar sets.

scholarly journals On the dimension of the space of harmonic functions on transitive shift spaces

2021 ◽  
Vol 385 ◽  
pp. 107758
Author(s):  
L. Cioletti ◽  
L. Melo ◽  
R. Ruviaro ◽  
E.A. Silva
Keyword(s):  
Harmonic Functions ◽  
Shift Spaces

Algebraic decay in self-similar Markov chains

1985 ◽  
Vol 39 (3-4) ◽  
pp. 327-345 ◽  
Author(s):  
James D. Hanson ◽  
John R. Cary ◽  
James D. Meiss
Keyword(s):  
Markov Chains ◽  
Algebraic Decay ◽  
Self Similar
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