Quantum and Stochastic Mathematical Physics: Sergio Albeverio, Adventures of a Mathematician, Verona, Italy, March 25–29, 2019

Sergio Albeverio gave important contributions to many fields ranging
from Physics to Mathematics, while creating new research areas from
their interplay. Some of them are presented in this Volume that grew out
of the Random Transformations and Invariance in Stochastic Dynamics
Workshop held in Verona in 2019. To understand the theory of thermo- and
fluid-dynamics, statistical mechanics, quantum mechanics and quantum
field theory, Albeverio and his collaborators developed stochastic
theories having strong interplays with operator theory and functional
analysis. His contribution to the theory of (non Gaussian)-SPDEs, the
related theory of (pseudo-)differential operators, and ergodic theory
had several impacts to solve problems related, among other topics, to
thermo- and fluid dynamics. His scientific works in the theory of
interacting particles and its extension to configuration spaces lead,
e.g., to the solution of open problems in statistical mechanics and
quantum field theory. Together with Raphael Hoegh Krohn he introduced
the theory of infinite dimensional Dirichlet forms, which nowadays is
used in many different contexts, and new methods in the theory of
Feynman path integration. He did not fear to further develop different
methods in Mathematics, like, e.g., the theory of non-standard analysis
and p-adic numbers.