FWF - Spektren auf Lamplightergruppen - Spectral problems on lamplighter groups and free probability

Project: Research project

Project Details


The main focus of present project proposal lies on the crossroads of geometric group theory, percolation
theory, free probability and mathematical physics.
We will study computational and qualitative aspects of the spectral theory of free lamplighter groups in the light of a recently discovered identity between the spectral measures of
percolation clusters and lamplighter groups.
Effective start/end date1/08/1330/04/17