Abstract
Random walks on trees and Ramanujan graphs
Tatiana Smirnova-Nagnibeda
Université de Genève
I will discuss two instances of how random walks
on infinite trees can be used to study the Ramanujan
property for finite non-regular graphs:
1) construction of infinite trees with infinitely many finite quotients none of which is Ramanujan (joint work with A. Lubotzky);
2) algorithm which decides in finite time whether a given finite graph is Ramanujan.
on infinite trees can be used to study the Ramanujan
property for finite non-regular graphs:
1) construction of infinite trees with infinitely many finite quotients none of which is Ramanujan (joint work with A. Lubotzky);
2) algorithm which decides in finite time whether a given finite graph is Ramanujan.
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