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  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.
 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)