The mathematical axiomatics of quantum mechanics leads to the emergence of a new mathematical discipline that is noncommutative probability theory. As in the usual probability theory, the concepts of a random variable, mathematical expectation, variance, covariance and correlation appear. However, the properties of such familiar characteristics are often different from their classical counterparts.

Financial support. The course is supported by the Simons Foundation and the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).

Lecturer
Amosov Grigori Gennadievich

Organizations
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center