SEMINAIRE MERCREDI 11 NOVEMBRE 2006
11 heures!!!
Salle Séminaire 5
Centre de Physique Théorique
Marseille-Luminy

Prof. Dr. Peter Stollmann
Fakultaet fuer Mathematik
TU Chemnitz
D-09107 Chemnitz, Allemagne

Title: Spectral asymptotics of the Laplacian on percolation graphs

Abstract: In joint work with P. M\"uller we investigated the Laplacian
on percolation graphs with different boundary conditions at cluster
borders. The integrated density of states of the Dirichlet Laplacian
is found to exhibit a Lifshits tail at the lower spectral edge, while
that of the Neumann Laplacian shows a van Hove asymptotics, which
results from the percolating cluster. At the upper spectral edge, the
behaviour is reversed.