# Sergio Albeverio

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Swiss mathematician

Sergio Albeverio Born (1939-01-17) 17 January 1939 (age 87) Lugano, Switzerland Alma mater Eidgenössische Technische Hochschule Zürich Scientific career Fields Mathematics, Mathematical Physics Institutions University of Bonn Doctoral advisor Res Jost and Markus Fierz

**Sergio A. Albeverio** (born 17 January 1939)[1] is a [Swiss](/source/Swiss_people) [mathematician](/source/Mathematician) and mathematical [physicist](/source/Physicist) working in numerous fields of mathematics and its applications. In particular he is known for his work in [probability theory](/source/Probability_theory), [analysis](/source/Analysis) (including [infinite-dimensional](/source/Infinite-dimensional_analysis), [non-standard](/source/Non-standard_analysis), and [stochastic analysis](/source/Stochastic_analysis)), [mathematical physics](/source/Mathematical_physics), and in the areas [algebra](/source/Algebra), [geometry](/source/Geometry), [number theory](/source/Number_theory), as well as in applications, from [natural](/source/Natural_science) to [social](/source/Social_science)-[economic sciences](/source/Economic_Sciences).

He initiated (with [Raphael Høegh-Krohn](/source/Raphael_H%C3%B8egh-Krohn)) a systematic mathematical theory of [Feynman path integrals](/source/Feynman_path_integrals) and of infinite-dimensional [Dirichlet forms](/source/Dirichlet_form) and associated [stochastic processes](/source/Stochastic_process) (with applications particularly in [quantum mechanics](/source/Quantum_mechanics), [statistical mechanics](/source/Statistical_mechanics) and [quantum field theory](/source/Quantum_field_theory)). He also gave essential contributions to the development of areas such as [*p*-adic](/source/P-adic_analysis) functional and stochastic analysis as well as to the [singular perturbation theory](/source/Singular_perturbation_theory) for [differential operators](/source/Differential_operator). Other important contributions concern [constructive quantum field theory](/source/Constructive_quantum_field_theory) and [representation theory](/source/Representation_theory) of infinite-dimensional [groups](/source/Group_(mathematics)). He also initiated a new approach to the study of galaxy and planet formation inspired by [stochastic mechanics](/source/Stochastic_mechanics).

## References

1. **[^](#cite_ref-:0_1-0)** Gesztesy, Fritz; Holden, Helge; Jost, Jürgen; Paycha, Sylvie; Röckner, Michael; Scarlatti, Sergio (2000). *Stochastic Processes, Physics and Geometry: New Interplays. I: A Volume in Honor of Sergio Albeverio*. Providence, Rhode Island: CMS/AMS. [ISBN](/source/ISBN_(identifier)) [978-0-8218-1959-3](https://en.wikipedia.org/wiki/Special:BookSources/978-0-8218-1959-3).

## External links

- [Homepage of Sergio Albeverio at Bonn University](https://wt.iam.uni-bonn.de/albeverio/home/) (includes a list of publications)

- [Sergio Albeverio](http://www.hcm.uni-bonn.de/people/profile/sergio-albeverio/) at the [Hausdorff Center for Mathematics](/source/Hausdorff_Center_for_Mathematics)

- [Sergio Albeverio](http://www.ams.org/mathscinet/search/author.html?mrauthid=24435) at [MathSciNet](/source/MathSciNet)

- [Sergio Albeverio](https://www.genealogy.math.ndsu.nodak.edu/id.php?id=23869) at [Mathematics Genealogy Project](/source/Mathematics_Genealogy_Project)

- [Sergio Albeverio](https://www.researchgate.net/profile/Sergio_Albeverio) at [ResearchGate](/source/ResearchGate)

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Adapted from the Wikipedia article [Sergio Albeverio](https://en.wikipedia.org/wiki/Sergio_Albeverio) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Sergio_Albeverio?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.