Overview
- This book celebrates the life and work of influential mathematical-physicist Sergio Albeverio
- Includes an extensive interview with Sergio Albeverio and some of his long-time collaborators
- The scientiifc contributions either survey his work or give an account of recent advances in the subject
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 377)
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Table of contents (14 papers)
Keywords
- quantum and stochastic mathematical physics
- albeverio quantum and stochastic mathematical physics
- albeverio mathematical physics
- albeverio quantum field theory
- albeverio statistical mechanics
- hoegh krohn dirichlet forms
- feynman path integrals
- non-archimedean random processes
- albeverio non-standard analysis
- albeverio hoegh krohn paradox
About this book
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 fieldtheory. 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.
Editors and Affiliations
Bibliographic Information
Book Title: Quantum and Stochastic Mathematical Physics
Book Subtitle: Sergio Albeverio, Adventures of a Mathematician, Verona, Italy, March 25–29, 2019
Editors: Astrid Hilbert, Elisa Mastrogiacomo, Sonia Mazzucchi, Barbara Rüdiger, Stefania Ugolini
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-031-14031-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-14030-3Published: 04 April 2023
Softcover ISBN: 978-3-031-14033-4Published: 05 April 2024
eBook ISBN: 978-3-031-14031-0Published: 02 April 2023
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XVIII, 385
Number of Illustrations: 7 b/w illustrations, 2 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Analysis, Mathematical Methods in Physics