The work of Elon Lindenstrauss

摘要

I've been asked to describe some of the achievements of Elon Lindenstrauss -our Fields medalist. Elon Lindenstrauss's work continues a tradition of interaction between dynamical systems theory and diophantine analysis. This tradition goes back at least to the year 1914 - when Hermann Weyl published a paper entitled "An application of number theory to statistical mechanics and the theory of perturbations." In that paper Weyl used what we would call Kronecker's Theorem to show the validity of the ergodic hypothesis in certain situations. In the meantime the roles have been reversed, with dynamical systems theory and ergodic theory providing the tools for answering questions in number theory.