This book's three primary topics—probability theory, differential geometry, and the theory of integrable systems—reflect Henry McKean's wide-ranging mathematical interests, to whom it is dedicated.

The seventeen papers presented here, written by specialists in probability, geometry, integrable systems, turbulence, and percolation, show a wide range of methods that have been created to address diverse mathematical issues in these fields. The topics are frequently mixed in novel and intriguing ways to provide answers that deviate from conventional approaches. The papers provide a guide to the recent literature on these topics as well as some intriguing results.