© 2016

Stochastic and Infinite Dimensional Analysis

  • Christopher C. Bernido
  • Maria Victoria Carpio-Bernido
  • Martin Grothaus
  • Tobias Kuna
  • Maria João Oliveira
  • José Luís da Silva
  • 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

Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-x
  2. Christopher C. Bernido, M. Victoria Carpio-Bernido
    Pages 39-49
  3. Jinky Bornales, Cresente Cabahug, Roel Baybayon, Sim Bantayan, Beverly Gemao
    Pages 75-84
  4. Stephen Clark, Fritz Gesztesy, Roger Nichols
    Pages 85-117
  5. Dennis Hagedorn, Yuri Kondratiev, Eugene Lytvynov, Anatoly Vershik
    Pages 119-147
  6. Takeyuki Hida
    Pages 149-160
  7. Taras Shalaiko, Georgiy Shevchenko
    Pages 281-300

About these proceedings


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.


infinite dimensional analysis processes with memory stochastic analysis white noise analysis fractional processes

Editors and affiliations

  • Christopher C. Bernido
    • 1
  • Maria Victoria Carpio-Bernido
    • 2
  • Martin Grothaus
    • 3
  • Tobias Kuna
    • 4
  • Maria João Oliveira
    • 5
  • José Luís da Silva
    • 6
  1. 1.Research Center for Theoretical Physics Central Visayan Institute FoundationJagna, BoholPhilippines
  2. 2.Research Center for Theoretical Physics Central Visayan Institute FoundationJagna, BoholPhilippines
  3. 3.Fachbereich MathematikTechnische Universität KaiserslauternKaiserslauternGermany
  4. 4.Department of Mathematics and PhysicsUniversity of ReadingReadingUnited Kingdom
  5. 5.Departamento de Ciências e TecnologiaUniversidade AbertaLisbonPortugal
  6. 6.Universidade da Madeira Faculdade de Ciências Exatas e da EngenhariaFunchal, MadeiraPortugal

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
  • Series Abbreviated Title Trends in Math.
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-07244-9
  • Softcover ISBN 978-3-319-79155-5
  • eBook ISBN 978-3-319-07245-6
  • 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
  • Buy this book on publisher's site
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