Green’s functions of free products of operators, with applications to graph spectra and to random walks
Copyright policy )Green’s functions of free products of operators, with applications to graph spectra and to random walks
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.
- University of Southern California United States
- University of California System United States
47A10, free products of operators, Sums of independent random variables; random walks, Graphs and linear algebra (matrices, eigenvalues, etc.), 60J15, Probability distributions: general theory, Applications of operator theory in probability theory and statistics, random walks, 05C50, Green functions
47A10, free products of operators, Sums of independent random variables; random walks, Graphs and linear algebra (matrices, eigenvalues, etc.), 60J15, Probability distributions: general theory, Applications of operator theory in probability theory and statistics, random walks, 05C50, Green functions
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