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

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.

Locations

• Nagoya Mathematical Journal - View - PDF
• Project Euclid (Cornell University) - View - PDF