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

Published online by Cambridge University Press:  22 January 2016

Eugene Gutkin
Eugene Gutkin*
Affiliation:
Mathematics Department, University of Southern California, Los Angeles, CA 90089-1113, U.S.A., egutkin@math.usc.edu
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Abstract.

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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 149 , March 1998 , pp. 93 - 116
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

References

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