t-Martin Boundary of Killed Random Walks in the Quadrant
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Publication:5270103
DOI10.1007/978-3-319-44465-9_11zbMath1367.60048arXiv1509.04193OpenAlexW2264863138MaRDI QIDQ5270103
Cédric Lecouvey, Kilian Raschel
Publication date: 22 June 2017
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.04193
Sums of independent random variables; random walks (60G50) Exact enumeration problems, generating functions (05A15) Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary theory for Markov processes (60J50)
Related Items (6)
Martin boundary of random walks in convex cones ⋮ Weighted lattice walks and universality classes ⋮ Constructing discrete harmonic functions in wedges ⋮ The Martin boundary of a free product of abelian groups ⋮ Harmonic functions for singular quadrant walks ⋮ Yaglom limits can depend on the starting state
Cites Work
- t-Martin boundary of reflected random walks on a half-space
- Random walks in the quarter plane, discrete harmonic functions and conformal mappings
- Martin boundary of a killed random walk on a quadrant
- Quantum random walk on the dual of SU\((n)\)
- Discrete harmonic functions on an orthant in \(\mathbb{Z}^d\)
- Random walks in $(\mathbb{Z}_{+})^{2}$ with non-zero drift absorbed at the axes
- Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group
- Random walks in Weyl chambers and crystals
- Martin boundaries of cartesian products of markov chains
- Chromatic Sums for Rooted Planar Triangulations, V: Special Equations
- Eigenvalues of Non-Negative Matrices
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