Seminar

Language English
From 2011/11/25 15:30
To 2011/11/25 17:00
PlaceRoom 552, Building No.3, Faculty of Science, Kyoto University
Seminar NameKansai Probability Theory Seminar
Title Spectral asymptotics for stable trees and the critical random graph　
Field Analysis
SpeakersDavid Croydon
AffiliationWarwick
AbstractIn this talk, I will discuss joint work with Ben Hambly (Oxford)
regarding the high frequency asymptotics of the eigenvalue counting
function
associated with the natural Dirichlet form on alpha-stable trees,
which lead in turn to short-time heat kernel asymptotics for these random
structures. In particular, I will explain how our results are proved using
self-similar fractal arguments that involve decomposing the relevant tree
into three pieces in the alpha=2 case and a countable number of pieces
otherwise. The talk will also include a brief discussion of how these ideas
can be adapted to the scaling limit of the critical random graph.
Linkhttp://www-an.acs.i.kyoto-u.ac.jp/~hino/probability/seminar/index_j.html