Sergio Albeverio (born 17 January 1939)[1] is a Swiss mathematician and mathematical physicist working in numerous fields of mathematics and its applications. In particular he is known for his work in probability theory, analysis (including infinite dimensional, non-standard, and stochastic analysis), mathematical physics, and in the areas algebra, geometry, number theory, as well as in applications, from natural to social-economic sciences.
Sergio Albeverio | |
---|---|
Born | |
Nationality | Swiss |
Alma mater | Eidgenössische Technische Hochschule Zürich |
Scientific career | |
Fields | Mathematics, Mathematical Physics |
Institutions | University of Bonn |
Doctoral advisor | Res Jost and Markus Fierz |
He initiated (with Raphael Høegh-Krohn) a systematic mathematical theory of Feynman path integrals and of infinite dimensional Dirichlet forms and associated stochastic processes (with applications particularly in quantum mechanics, statistical mechanics and quantum field theory). He also gave essential contributions to the development of areas such as p-adic functional and stochastic analysis as well as to the singular perturbation theory for differential operators. Other important contributions concern constructive quantum field theory and representation theory of infinite dimensional groups. He also initiated a new approach to the study of galaxy and planets formation inspired by stochastic mechanics.
Albeverio's main research interests include probability theory (stochastic processes; stochastic analysis; SPDEs); analysis (functional and infinite dimensional, non-standard, p-adic); mathematical physics (classical and quantum, in particular hydrodynamics, statistical physics, quantum field theory, quantum information, astrophysics); geometry (differential, non-commutative); topology (configuration spaces, knot theory); operator algebras, spectral theory; dynamical systems, ergodic theory, fractals; number theory (analytic, p-adic); representation theory; algebra; information theory and statistics; applications of mathematics in biology, earth sciences, economics, engineering, physics, social sciences, models for urban systems; epistemology, philosophical and cultural issues.
S. Albeverio has served on many advisory boards, committees and associations, including:
Over 900 publications in scientific journals or volumes of proceedings.[5]
{{cite book}}
: |last=
has generic name (help)CS1 maint: multiple names: authors list (link)
{{cite book}}
: |last=
has generic name (help)CS1 maint: multiple names: authors list (link)