{{short description|Swiss mathematician}} {{Use dmy dates|date=July 2020}} {{Infobox scientist | name = Sergio Albeverio | image = Sergio Albiverio.jpg | image_size = 150px | alt = | caption = | birth_date = {{birth date and age|1939|1|17|df=y}} | birth_place = [[Lugano]], [[Switzerland]] | death_date = | death_place = | citizenship = | fields = [[Mathematics]], [[Mathematical Physics]] | workplaces = [[University of Bonn]] | alma_mater = [[Eidgenössische Technische Hochschule Zürich]] | doctoral_advisor = [[Res Jost]] and [[Markus Fierz]] | academic_advisors = | doctoral_students = | notable_students = | known_for = | author_abbrev_bot = | author_abbrev_zoo = | influences = | influenced = | awards = | signature = <!--(filename only)--> | signature_alt = | footnotes = }}
'''Sergio A. Albeverio''' (born 17 January 1939)<ref name=":0">{{Cite book|title=Stochastic Processes, Physics and Geometry: New Interplays. I: A Volume in Honor of Sergio Albeverio|last1=Gesztesy |first1=Fritz |last2=Holden |first2=Helge |last3=Jost |first3=Jürgen |last4=Paycha |first4=Sylvie |last5=Röckner |first5=Michael |last6=Scarlatti |first6=Sergio|publisher=CMS/AMS|year=2000|isbn=978-0-8218-1959-3|location=Providence, Rhode Island}}</ref> is a [[Swiss people|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 analysis|infinite-dimensional]], [[Non-standard analysis|non-standard]], and [[stochastic analysis]]), [[mathematical physics]], and in the areas [[algebra]], [[geometry]], [[number theory]], as well as in applications, from [[Natural science|natural]] to [[Social science|social]]-[[Economic Sciences|economic sciences]].
He initiated (with [[Raphael Høegh-Krohn]]) a systematic mathematical theory of [[Feynman path integrals]] and of infinite-dimensional [[Dirichlet form]]s and associated [[stochastic process]]es (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 analysis|''p''-adic]] functional and stochastic analysis as well as to the [[singular perturbation theory]] for [[differential operator]]s. Other important contributions concern [[constructive quantum field theory]] and [[representation theory]] of infinite-dimensional [[Group (mathematics)|groups]]. He also initiated a new approach to the study of galaxy and planet formation inspired by [[stochastic mechanics]].
== References == {{Reflist}}
==External links== *[https://wt.iam.uni-bonn.de/albeverio/home/ Homepage of Sergio Albeverio at Bonn University] (includes a list of publications) *[http://www.hcm.uni-bonn.de/people/profile/sergio-albeverio/ Sergio Albeverio] at the [[Hausdorff Center for Mathematics]] *[http://www.ams.org/mathscinet/search/author.html?mrauthid=24435 Sergio Albeverio] at [[MathSciNet]] *[https://www.genealogy.math.ndsu.nodak.edu/id.php?id=23869 Sergio Albeverio] at [[Mathematics Genealogy Project]] *[https://www.researchgate.net/profile/Sergio_Albeverio Sergio Albeverio] at [[ResearchGate]]
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{{DEFAULTSORT:Albeverio, Sergio}} [[Category:1939 births]] [[Category:Living people]] [[Category:Swiss mathematicians]] [[Category:Academic staff of the University of Bonn]] [[Category:Mathematical physicists]] [[Category:ETH Zurich alumni]] [[Category:People from Lugano]] [[Category:Probability theorists]] [[Category:Academic staff of Bielefeld University]] [[Category:Academic staff of Ruhr University Bochum]] [[Category:20th-century mathematicians]]