Editors:
- Features scientific contributions by world leading experts in the fields of systems of infinite degrees of freedom
- Prominent presentation of the different guises of these fields such as infinite dimensional analysis, stochastic processes and white noise analysis
- Ties together papers treating applications of systems of infinitely many degrees of freedom ranging from martian atmosphere to social networks in a rather unique way rarely to be found in single publications of this kind
- Includes supplementary material: sn.pub/extras
Part of the book series: Trends in Mathematics (TM)
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Table of contents (15 papers)
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Front Matter
About this book
This volume presents a collection of papers covering applications from a wide range of systems with infinitely many degrees of freedom studied using techniques from stochastic and infinite dimensional analysis, e.g. Feynman path integrals, the statistical mechanics of polymer chains, complex networks, and quantum field theory. Systems of infinitely many degrees of freedom create their particular mathematical challenges which have been addressed by different mathematical theories, namely in the theories of stochastic processes, Malliavin calculus, and especially white noise analysis.
These proceedings are inspired by a conference held on the occasion of Prof. Ludwig Streit’s 75th birthday and celebrate his pioneering and ongoing work in these fields.
Editors and Affiliations
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Research Center for Theoretical Physics Central Visayan Institute Foundation, Jagna, Bohol, Philippines
Christopher C. Bernido, Maria Victoria Carpio-Bernido
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Fachbereich Mathematik, Technische Universität Kaiserslautern, Kaiserslautern, Germany
Martin Grothaus
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Department of Mathematics and Physics, University of Reading, Reading, United Kingdom
Tobias Kuna
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Departamento de Ciências e Tecnologia, Universidade Aberta, Lisbon, Portugal
Maria João Oliveira
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Universidade da Madeira Faculdade de Ciências Exatas e da Engenharia, Funchal, Madeira, Portugal
José Luís da Silva
Bibliographic Information
Book Title: Stochastic and Infinite Dimensional Analysis
Editors: Christopher C. Bernido, Maria Victoria Carpio-Bernido, Martin Grothaus, Tobias Kuna, Maria João Oliveira, José Luís da Silva
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-319-07245-6
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-07244-9Published: 12 August 2016
Softcover ISBN: 978-3-319-79155-5Published: 09 June 2018
eBook ISBN: 978-3-319-07245-6Published: 10 August 2016
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: X, 300
Number of Illustrations: 7 b/w illustrations, 5 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Applications of Mathematics