Isaac Newton Institute for Mathematical Sciences

Analysis on Graphs and its Applications

8 January - 29 June 2007

Analysis on Graphs and Fractals

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Cardiff University: 29 May - 2 June, 2007

 

This workshop is a Satellite Meeting of the programme Analysis on Graphs and its Applications at the Isaac Newton Institute from 8 January to 29 June 2007. It will consider problems arising at the interfaces of number theory, combinatorics, discrete groups, random walk theory, fractal theory, as well as mathematical physics and spectral geometry. Among the areas addressed will be in particular spectral theory on graphs, amenability of discrete groups, zeta-functions on graphs, and analysis on fractals.

Embedded in the workshop, on Wednesday the 30th of May, will be a South West and South Wales Regional Meeting of the LMS, at which M. Aizenman (Princeton) and T. Sunada (Meija University, Japan) will speak. Speakers and Details for LMS Meeting are on the LMS website.

Speakers for the Workshop

Meeting timetable & schedule (Adobe pdf file)

M Aizenman   The curious effects of disorder on spectra of random operators  
L Bartholdi   Self-similar graphs arising from groups   Abstract...
A Gamburd   Expanders: from arithmetic to combinatorics and back   Abstract...
D Guido   Aspects of self-similar graphs   Abstract...
B Hambly   Local limit theorem for random walk on percolation clusters   Abstract...
S Ishiwata   Connectivity on discrete nilpotent groups  
T Isola   Ihara zeta function for infinite graphs   Abstract...
J Kigami   Measurable Riemannian geometry on the Sierpinski gasket   Abstract...
M Kotani   Geometric aspects of random walks on a crystal lattice   Abstract...
M Lapidus   Complex Fractal Dimensions and Zeta Functions   Abstract...
V Nekrashevich   Schreier graphs, operator algebras and fractal geometry   Abstract...
S Novikov  

Discrete Complex Analysis,  Discrete 2D Schrodinger Operators and Discrete Geometry

 
KA Okoudjou   Uncertainty principle for fractals, graphs and metric measure spaces   Abstract...
E Pearse   Self-similar systems and their complex dimensions   Abstract...
R Peirone   Existence of eigenforms with weights on fractals   Abstract...
A Pelander   Products of random matrices and derivatives on p.c.f. Fractals   Abstract...
M Picardello   Admissible convergence of harmonic functions on trees and buildings  
L Rogers   Distributions on p.c.f. fractafolds   Abstract...
T Smirnova-nagnibeda   Probability and geometry on trees, with applications   Abstract...
T Sunada   The K_4 crystal - a new crystal structure similar to the diamond lattice   Abstract...
Z Sunik   Schreier spectra of self-similar groups   Abstract...
S Warzel   Bernoulli decompositions for random variables, a concentration bound, and  spectral localization  
M Zaidenberg   Pluri-periods of harmonic functions on Caley graphs   Abstract...
A Zuk   Title to follow...  

Downloads:

The scientific committee is: T. Sunada ( Meija Univ., Japan), B. M. Brown (Cardiff Univ., UK), Y. Colin de Verdiere ( Fourier Inst., France), R. Grigorchuk (Texas A&M Univ., USA), A. Teplyaev (Univ. of Connecticut, USA) and P. Kuchment (Texas A&M Univ., USA)

The local organising committee is: Professor B M Brown, Professor W D Evans, Dr M Marletta and Ms M Mills.

For further information on scientific questions contact T Sunada or P Kuchment, or for information on organisational matters contact B M Brown