Trends in Mathematics

Stochastic and Infinite Dimensional Analysis

Editors: Bernido, C., Carpio-Bernido, M.V., Grothaus, M., Kuna, T., Oliveira, M.J., da Silva, J.L. (Eds.)

  • 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
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-07245-6
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-319-07244-9
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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.

Table of contents (15 chapters)

  • Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems

    Albeverio, Sergio

    Pages 1-17

  • Detecting Hierarchical Communities in Networks: A New Approach

    Barber, Michael J.

    Pages 19-37

  • Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces

    Bernido, Christopher C. (et al.)

    Pages 39-49

  • Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action

    Bock, Wolfgang

    Pages 51-73

  • Computer Simulations of Self-Repelling Fractional Brownian Motion

    Bornales, Jinky (et al.)

    Pages 75-84

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-07245-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-319-07244-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic and Infinite Dimensional Analysis
Editors
  • Christopher Bernido
  • Maria Victoria Carpio-Bernido
  • Martin Grothaus
  • Tobias Kuna
  • Maria João Oliveira
  • José Luís da Silva
Series Title
Trends in Mathematics
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-07245-6
DOI
10.1007/978-3-319-07245-6
Hardcover ISBN
978-3-319-07244-9
Series ISSN
2297-0215
Edition Number
1
Number of Pages
X, 300
Number of Illustrations and Tables
7 b/w illustrations, 5 illustrations in colour
Topics