Green’s functions of free products of operators, with applications to graph spectra and to random walks

Author:

Gutkin Eugene

Abstract

Abstract.We systematically develop an algebraic technique of free products of operators and their Green’s functions. We apply this framework to obtain, in a simple and uniform fashion, several results on the spectra of graph Laplaceans and random walks.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Point spectra of free products of operators;Gutkin

2. The spectral geometry ofk-regular graphs

3. Combinatorics on free product graphs;Quenell;Geometry of the Spectrum

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Markov product of positive definite kernels and applications to Q-matrices of graph products;Colloquium Mathematicum;2011

2. Operators related to subordination for free multiplicative convolutions;Indiana University Mathematics Journal;2008

3. DECOMPOSITIONS OF THE FREE PRODUCT OF GRAPHS;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2007-09

4. Decompositions of the free additive convolution;Journal of Functional Analysis;2007-05

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