Quantum and stochastic mathematical physics : Sergio Albeverio, adventures of a mathematician, Verona, Italy, March 25-29, 2019 / Astrid Hilbert, Elisa Mastrogiacomo, Sonia Mazzucchi, Barbara Rüdiger, Stefania Ugolini, editors.
Hilbert, Astrid, editor.; Mastrogiacomo, Elisa, editor.; Mazzucchi, Sonia, editor.; Rüdiger, Barbara (Mathematician), editor.; Ugolini, Stefania, editor.
2022
QA274
Available Online

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Title
Quantum and stochastic mathematical physics : Sergio Albeverio, adventures of a mathematician, Verona, Italy, March 25-29, 2019 / Astrid Hilbert, Elisa Mastrogiacomo, Sonia Mazzucchi, Barbara Rüdiger, Stefania Ugolini, editors.
ISBN
9783031140310 (electronic bk.)
3031140311 (electronic bk.)
9783031140303
3031140303
DOI
https://doi.org/10.1007/978-3-031-14031-0
Published
Cham : Springer, 2022.
Language
English
Description
1 online resource (1 volume) : illustrations (black and white, and colour).
Item Number
10.1007/978-3-031-14031-0 doi
Call Number
QA274
Dewey Decimal Classification
519.2/3
Summary
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.
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Access limited to authorized users.
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Description based on print version record.
Added Author
Hilbert, Astrid, editor.
Mastrogiacomo, Elisa, editor.
Mazzucchi, Sonia, editor.
Rüdiger, Barbara (Mathematician), editor.
Ugolini, Stefania, editor.
Series
Springer proceedings in mathematics & statistics ; v.377.
Available in Other Form
Quantum and stochastic mathematical physics.
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Drawing by Solveig Albeverio
Introduction
Chapter 1. G. Da Prato and L. Tubaro, Wick Powers in stochastic PDE's: an introduction
Chapter 2. F. Guerra, The Albeverio-Hoegh-Krohn paradox in Nelson stochastic mechanics
Chapter 3. Ludwig Streit: Energy Forms and Quantum Dynamics
Chapter 4. F. Cipriani, The emergence of non-commutative potential theory
Chapter 5. G. Dell'Antonio, Contact interactions and Gamma convergence
Chapter 6. R. Figari and A. Teta, On the Hamiltonian for three bosons with point interactions
Chapter 7. S. Mazzucchi, Mathematical theory of Feynman path integrals
Chapter 8. A. Sengupta, Gauge theories in low dimensions: reminiscences of work with Sergio Albeverio
Chapter 9. T. Lindstrom, The Allure of Infinitesimals: Sergio Albeverio and Nonstandard Analysis
Chapter 10. A. Daletskii and Y. Kondratiev, Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis
Chapter 11. B. Ferrario and F. Flandoli: Hydrodynamic models
Chapter 12. Z. Brzezniak, G. Deugou and P. Andr Razafimandimby, On strong solution to the 2d stochastic Ericksen-Leslie system: a Ginzburg-Landau approximation approach
Chapter 13. V. Mandrekar and B. Rdiger: Stability properties of mild solutions of SPDEs related to Pseudo Differential Equations
Chapter 14. Witold Karwowski: Random Processes on non-Archimedean spaces
Interview with Sergio Albeverio
Interview with Colleagues and Friends of Sergio Albeverio
Homage by Philippe Blanchard
CV and Publications by Sergio Albeverio
Acknowledgements
Photos selected by Sergio Albeverio.

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