Sakagawa Laboratory - Approaching Problems in Statistical Mechanics as Problems in Probability Theory

At the Sakagawa Laboratory in the Department of Mathematics, Faculty of Science and Technology, Keio University, we conduct research on various problems in probability theory motivated by statistical mechanics.

A major goal of probability theory is to find certain regularities within phenomena that occur randomly in large numbers, such as repeatedly tossing a coin or rolling a die, and to analyze them mathematically.

On the other hand, a goal in statistical mechanics is to explain macroscopic phenomena, which we actually observe, from the microscopic level of a vast number of molecules and atoms moving in a somewhat random manner.

From this perspective, probability theory and statistical mechanics are very compatible, and various problems originating from statistical mechanics have been mathematically treated as problems in probability theory.