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Stochastic Analysis and Mathematical Physics

ANESTOC ’98 Proceedings of the Third International Workshop

  • Rolando Rebolledo
Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. A. M. Chebotarev, J. C. García, R. Quezada
    Pages 23-31
  3. A. B. Cruzeiro, Liming Wu, J. C. Zambrini
    Pages 41-72
  4. Franco Fagnola
    Pages 73-87
  5. Claudio Fernández, Kalyan B. Sinha
    Pages 89-95
  6. Alain Guichardet
    Pages 97-99
  7. Rolando Rebolledo
    Pages 109-121
  8. Jan A. Casteren
    Pages 123-154
  9. Wilhelm von Waldenfels
    Pages 155-166

About these proceedings

Introduction

The seminar on Stochastic Analysis and Mathematical Physics started in 1984 at the Catholic University of Chile in Santiago and has been an on­ going research activity. Since 1995, the group has organized international workshops as a way of promoting a broader dialogue among experts in the areas of classical and quantum stochastic analysis, mathematical physics and physics. This volume, consisting primarily of contributions to the Third Inter­ national Workshop on Stochastic Analysis and Mathematical Physics (in Spanish ANESTOC), held in Santiago, Chile, in October 1998, focuses on an analysis of quantum dynamics and related problems in probability the­ ory. Various articles investigate quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others examine the appli­ cation of classical stochastic processes in quantum modeling. As in previous workshops, the topic of quantum flows and semigroups occupied an important place. In her paper, R. Carbone uses a spectral type analysis to obtain exponential rates of convergence towards the equilibrium of a quantum dynamical semigroup in the £2 sense. The method is illus­ trated with a quantum extension of a classical birth and death process. Quantum extensions of classical Markov processes lead to subtle problems of domains. This is in particular illustrated by F. Fagnola, who presents a pathological example of a semigroup for which the largest * -subalgebra (of the von Neumann algebra of bounded linear operators of £2 (lR+, IC)), con­ tained in the domain of its infinitesimal generator, is not a-weakly dense.

Keywords

Markov process Probability theory algebra math physics mathematical physics probality theory stochastic process stochastics analysis

Editors and affiliations

  • Rolando Rebolledo
    • 1
  1. 1.Facultad de MatemáticasPontificia Universidad Católica de ChileSantiago 22Chile

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1372-7
  • Copyright Information Springer Science+Business Media New York 2000
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7118-5
  • Online ISBN 978-1-4612-1372-7
  • Buy this book on publisher's site