Riesz Products, Random Walks, and the Spectrum
β Scribed by R. S. Ismagilov
- Book ID
- 110329272
- Publisher
- Springer US
- Year
- 2002
- Tongue
- English
- Weight
- 210 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study random walks and electrical resistances between pairs of vertices in products of graphs. Among the results we prove are the following. ( 1) In a graph G x P, where P is a path with endvertices x and y, and G is any graph, with vertices n and b, the resistance between vertices (a,~) and (b,c
We consider the spectrum of the Laplacian corresponding to the random walk on the fractal graph depending on parameter /3 > 0. The spectrum of this Laplacian is given by the iteration of the polynomial R(/l, x) = -(/l + 2)x(x -2) and the Julia set of this polynomial is the main part of the spectrum