Spring School 'Perspectives in Mathematics: from Foundations to Applications'

at AIMS Senegal, 13.4.2015 - 17.4.2015

Minicourse

Percolation Hamiltonians

P. Stollmann, TU Chemnitz

Percolation theory is a mathematical theory for an interesting fundamental probabilistic model of statistical physics. In mathematical terms, it gives families of random graphs. We will be concerned with spectral phenomena of the associated graph Laplacians. For a first reading,

Stauffer, Dietrich Introduction to percolation theory. Taylor & Francis, Ltd., London, 1985

and

Grimmett, Geoffrey Percolation. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 321. Springer-Verlag, Berlin, 1999

are suggested.