Abstract: The Avalanche Principle relates the norm of a long product of matrices with the product of the norms of the individual matrices. This principle was introduced by M. Goldstein and W. Schlag [1] in a context of SL(2,C) matrices. In this seminar we will discuss this principle and an extension of it obtained with Silvius Klein.

[1] Michael Goldstein and Wilhelm Schlag, Holder continuity of the integrated density of states for quasi-periodic Schrodinger equations and averages of shifts of subharmonic functions, Ann. of Math. (2) 154 (2001)