Potentials of random walks on trees

DOI10.1016/j.laa.2016.03.025zbMath1334.15084OpenAlexW2308508030MaRDI QIDQ273134

Jaime San Martín, Claude Dellacherie, Servet Martínez

Publication date: 21 April 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.03.025

zbMATH Keywords

\(M\)-matrixpotential matrixrandom walk on treestree matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Probabilistic potential theory (60J45) Stochastic matrices (15B51)

Cites Work

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• Inverse \(M\)-matrices and ultrametric matrices
• Proof of a conjecture concerning the Hadamard powers of inverse \(M\)-matrices
• Ultrametric and tree potential
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• A property concerning the Hadamard powers of inverse \(M\)-matrices.
• Description of the sub-Markov kernel associated to generalized ultrametric matrices. An algorithmic approach
• Ultrametric matrices and induced Markov chains
• On Green's Matrices of Trees
• The Class of Inverse $M$-Matrices Associated to Random Walks
• Hadamard Functions that Preserve Inverse $M$-Matrices
• Hadamard Functions of Inverse M-Matrices
• Inverse tridiagonalZ-Martices^∗
• Inverse of Strictly Ultrametric Matrices are of Stieltjes Type
• Distances in Weighted Trees and Group Inverse of Laplacian Matrices
• Maps onB(H) Preserving Idempotents

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