Stochastic Dynamics

  • Hans Crauel
  • Matthias Gundlach

Table of contents

  1. Front Matter
    Pages i-xxvii
  2. Hans Crauel, Peter Imkeller, Marcus Steinkamp
    Pages 27-47
  3. Yan Liang, N. Sri Namachchivaya
    Pages 49-70
  4. Ludwig Arnold, Gabriele Bleckert, Klaus Reiner Schenk-Hoppé
    Pages 71-92
  5. Hannes Keller, Gunter Ochs
    Pages 93-115
  6. Volker Matthias Gundlach, Yuri Kifer
    Pages 117-145
  7. Fritz Colonius, Wolfgang Kliemann
    Pages 181-208
  8. Volker Wihstutz
    Pages 209-239
  9. Peter E. Kloeden, Hannes Keller, Björn Schmalfuß
    Pages 259-282
  10. Michael Cranston, Yves Le Jan
    Pages 327-338
  11. Sergio Albeverio, Alexei Daletskii, Yuri Kondratiev
    Pages 339-369
  12. Lloyd Demetrius, Volker Matthias Gundlach
    Pages 371-394
  13. Back Matter
    Pages 432-440

About this book


The conference on Random Dynamical Systems took place from April 28 to May 2, 1997, in Bremen and was organized by Matthias Gundlach and Wolfgang Kliemann with the help of th'itz Colonius and Hans Crauel. It brought together mathematicians and scientists for whom mathematics, in particular the field of random dynamical systems, is of relevance. The aim of the conference was to present the current state in the theory of random dynamical systems (RDS), its connections to other areas of mathematics, major fields of applications, and related numerical methods in a coherent way. It was, ho~vever, not by accident that the conference was centered around the 60th birthday of Ludwig Arnold. The theory of RDS o~ves much of its current state and status to Ludwig Arnold. Many aspects of the theory, a large number of results, and several substantial contributions were accomplished by Ludwig Arnold. An even larger number of contributions has been initiated by him. The field be- fited much from his enthusiasm, his openness for problems not completely aligned with his o~vn research interests, his ability to explain mathematics to researchers from other sciences as well as his ability to get mathema- clans interested in problems from applications not completely aligned with their research interests. In particular, a considerable part of the impact stochastics had on physical chemistry as well as on engineering goes back to Ludwig Arnold. He built up an active research group, kno~vn as "the Bremen group".


Lévy process Maß Stochastic calculus random dynamical system stochastic differential equation stochastic systems

Authors and affiliations

  • Hans Crauel
    • 1
  • Matthias Gundlach
    • 2
  1. 1.FB 3 Mathematik, Sekr. MA 7-4TU BerlinBerlinGermany
  2. 2.Institute für Dynamische SystemeUniversität BremenBremenGermany

Bibliographic information