Skip to main content
SpringerLink
Log in

Quantum and Stochastic Mathematical Physics

Sergio Albeverio, Adventures of a Mathematician, Verona, Italy, March 25–29, 2019

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Astrid Hilbert

    1. Faculty of Technology, Linnaeus University, Växjo, Sweden

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Elisa Mastrogiacomo

    1. Department of Economics, Insubria University, Varese, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Sonia Mazzucchi

    1. Department of Mathematics, University of Trento, Povo, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Barbara Rüdiger

    1. Applied Mathematics / Stochastic, University of Wuppertal, Wuppertal, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  5. Stefania Ugolini

    1. Department of Mathematics, University of MIlan, Milano, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (14 papers)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Wick Powers in Stochastic PDEs: An Introduction

    • Giuseppe Da Prato, Luciano Tubaro
    Pages 1-15

  3. The Albeverio–Høegh-Krohn Paradox in Nelson Stochastic Mechanics

    • Francesco Guerra
    Pages 17-28

  4. Energy Forms and Quantum Dynamics

    • Ludwig Streit
    Pages 29-39

  5. The Emergence of Noncommutative Potential Theory

    • Fabio E. G. Cipriani
    Pages 41-106

  6. Contact Interactions and Gamma Convergence

    • Gianfausto Dell’Antonio
    Pages 107-125

  7. On the Hamiltonian for Three Bosons with Point Interactions

    • Rodolfo Figari, Alessandro Teta
    Pages 127-145

  8. Mathematical Theory of Feynman Path Integrals

    • Sonia Mazzucchi
    Pages 147-171

  9. Gauge Theories in Low Dimensions: Reminiscences of Work with Sergio Albeverio

    • Ambar N. Sengupta
    Pages 173-185

  10. The Allure of Infinitesimals: Sergio Albeverio and Nonstandard Analysis

    • Tom Lindstrøm
    Pages 187-215

  11. Sergio’s Work in Statistical Mechanics: From Quantum Particles to Geometric Stochastic Analysis

    • Alexei Daletskii, Yuri Kondratiev, Tanja Pasurek
    Pages 217-246

  12. Hydrodynamic Models

    • Benedetta Ferrario, Franco Flandoli
    Pages 247-268

  13. On Strong Solution to the 2D Stochastic Ericksen–Leslie System: A Ginzburg–Landau Approximation Approach

    • Zdzisław Brzeźniak, Gabriel Deugoué, Paul André Razafimandimby
    Pages 269-293

  14. Stability Properties of Mild Solutions of SPDEs Related to Pseudo Differential Equations

    • V. Mandrekar, B. Rüdiger
    Pages 295-313

  15. Random Processes on Non-Archimedean Spaces

    • Witold Karwowski
    Pages 315-342

  16. Back Matter

    Pages 343-385
    Download chapter PDF
Back to top

Keywords

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

  • Faculty of Technology, Linnaeus University, Växjo, Sweden

    Astrid Hilbert

  • Department of Economics, Insubria University, Varese, Italy

    Elisa Mastrogiacomo

  • Department of Mathematics, University of Trento, Povo, Italy

    Sonia Mazzucchi

  • Applied Mathematics / Stochastic, University of Wuppertal, Wuppertal, Germany

    Barbara Rüdiger

  • Department of Mathematics, University of MIlan, Milano, Italy

    Stefania Ugolini

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

Publish with us

Policies and ethics

Back to top

Search

Navigation