Examples of stable Martin boundaries of Markov chains

2012 ◽  
Author(s):  
Massimo PICARDELLO ◽  
Wolfgang WOESS
Keyword(s):  
Markov Chains ◽  
Martin Boundaries

scholarly journals Substitution Markov chains and Martin boundaries

2016 ◽  
Vol 46 (6) ◽  
pp. 1963-1985
Author(s):  
David Koslicki ◽  
Manfred Denker
Keyword(s):  
Markov Chains ◽  
Martin Boundaries

scholarly journals Martin boundaries for certain Markov chains

1963 ◽  
Vol 15 (2) ◽  
pp. 113-128 ◽  
Author(s):  
J. LAMPERTI ◽  
J. L. SNELL
Keyword(s):  
Markov Chains ◽  
Martin Boundaries

scholarly journals Martin boundaries of cartesian products of markov chains

1992 ◽  
Vol 128 ◽  
pp. 153-169 ◽  
Author(s):  
Massimo A. Picardello ◽  
Wolfgang Woess
Keyword(s):  
Markov Chains ◽  
Harmonic Functions ◽  
Cartesian Product ◽  
Martin Boundary ◽  
State Spaces ◽  
Cartesian Products ◽  
Discrete State ◽  
Stochastic Transition ◽  
Transition Operators ◽  
Martin Boundaries

Let P and Q be the stochastic transition operators of two time-homogeneous, irreducible Markov chains with countable, discrete state spaces X and Y, respectively. On the Cartesian product Z = X x Y, define a transition operator of the form Ra = a·P + (1 — a) · Q, 0 < a < 1, where P is considered to act on the first variable and Q on the second. The principal purpose of this paper is to describe the minimal Martin boundary of Ra (consisting of the minimal positive eigenfunctions of Ra with respect to some eigenvalue t, also called t-harmonic functions) in terms of the minimal Martin boundaries of P and Q.

Markov models—Markov chains

2019 ◽  
Vol 16 (8) ◽  
pp. 663-664 ◽  
Author(s):  
Jasleen K. Grewal ◽  
Martin Krzywinski ◽  
Naomi Altman
Keyword(s):  
Markov Chains ◽  
Markov Models
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