scholarly journals Martin boundary of a killed random walk on a quadrant

2010 ◽  
Vol 38 (3) ◽  
pp. 1106-1142 ◽  
Author(s):  
Irina Ignatiouk-Robert ◽  
Christophe Loree
Keyword(s):  
Random Walk ◽  
Martin Boundary

scholarly journals The Martin boundary for random walk

1966 ◽  
Vol 121 (1) ◽  
pp. 116-116 ◽  
Author(s):  
P. Ney ◽  
F. Spitzer
Keyword(s):  
Random Walk ◽  
Martin Boundary

scholarly journals Martin boundaries of the duals of free unitary quantum groups

2019 ◽  
Vol 155 (6) ◽  
pp. 1171-1193
Author(s):  
Sara Malacarne ◽  
Sergey Neshveyev
Keyword(s):  
Random Walk ◽  
Quantum Group ◽  
Quantum Groups ◽  
Free Group ◽  
Cayley Tree ◽  
Martin Boundary ◽  
Finite Range ◽  
Quantum Random Walk ◽  
Martin Boundaries ◽  
Topological Boundary

Given a free unitary quantum group $G=A_{u}(F)$, with $F$ not a unitary $2\times 2$ matrix, we show that the Martin boundary of the dual of $G$ with respect to any $G$-${\hat{G}}$-invariant, irreducible, finite-range quantum random walk coincides with the topological boundary defined by Vaes and Vander Vennet. This can be thought of as a quantum analogue of the fact that the Martin boundary of a free group coincides with the space of ends of its Cayley tree.

Elements of the Random Walk

2004 ◽  
Author(s):  
Joseph Rudnick ◽  
George Gaspari
Keyword(s):  
Random Walk

CUBIC [001] TWIST CSL GRAIN BOUNDARIES STUDY BY MEANS OF RANDOM WALK

1990 ◽  
Vol 51 (C1) ◽  
pp. C1-67-C1-69
Author(s):  
P. ARGYRAKIS ◽  
E. G. DONI ◽  
TH. SARIKOUDIS ◽  
A. HAIRIE ◽  
G. L. BLERIS
Keyword(s):  
Random Walk ◽  
Grain Boundaries
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