Matrices with zero row sums, tree theorems and a Markov chain on trees

DOI10.1090/conm/668/13397zbMath1415.05103OpenAlexW4229530113MaRDI QIDQ5225282

Philip Feinsilver

Publication date: 19 July 2019

Published in: Probability on Algebraic and Geometric Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/668/13397

zbMATH Keywords

Markov chainsmatricesmatrix tree theoremzero row sumGrassman algebrazero first column

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Matrices over function rings in one or more variables (15A54) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• A proof of the Markov chain tree theorem
• Probability and real trees. Ecole d'Eté de Probabilités de Saint-Flour XXXV -- 2005. Lecture given at the Saint-Flour probability summer school, July 6--23, 2005.
• Generalized matrix tree theorem for mixed graphs
• Graphs and matrices

This page was built for publication: Matrices with zero row sums, tree theorems and a Markov chain on trees