Hillel H. Furstenberg

My field of interest overlaps the following areas of mathematics: combinatorics, number theory, probability theory, ergodic theory, and group theory. I am particularly interested in randomness phenomena occurring in number-theoretic concepts and the application of ergodic theoretic ideas to number theory and combinatorics. I am also interested in laws of large numbers for random variables in a non-commutative setup, e.g., random products of matrices and random walks on groups. Of particular interest is the connection between these questions for Lie groups and for their subgroups and the connection with harmonic function theory.