Let A and B be 2x2 matrices. Let w(A, B) be a word of length n. After evaluating w(A, B) as a product of matrices, we get a 2x2 matrix, call it W. The problems that we consider are: What is the largest (by the absolute value) possible entry of W, over all w(A, B) of length n, as a function of n? What is the expected absolute value of the largest (by the absolute value) entry in a random product of n matrices, where each matrix is A or B with probability 0.5?
De Harald Helfgott
De Ramon Flores
De Christopher Battarbee
De Dmytro Savchuk
De Marc Moreno Maza
De Marc Moreno Maza
De Christoph Koutschan
De Christoph Koutschan
De Carsten Schneider
