The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

An Isaac Newton Institute Workshop

Random Matrix Theory and Arithmetic Aspects of Quantum Chaos

Quantum versus classical fluctuations on the modular surface

Author: Peter Sarnak (Princeton and NYU)

Abstract

In joint work with W.Luo we have computed the variance of the fluctuations of a quantum observable on the modular surface. It corresponds to the classical fluctuations of the observable after insertion of a subtle arithmetic correction factor.