Diffusions and waves

Author(s)

Bibliographic Information

Diffusions and waves

by Henryk Gzyl

(Mathematics and its applications, v. 552)

Kluwer Academic, c2002

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Description and Table of Contents

Description

In this book, several connections between probability theory and wave propagation are explored. The connection comes via the probabilistic (or path integral) representation of both the (fixed frequency) Green functions and of the propagators -operators mapping initial into present time data. The formalism includes both waves in continuous space and in discrete structures. One of the main applications of the formalism developed is to inverse problems in wave propagation. Using the probabilistic formalism, the parameters of the medium and the surfaces determining the region of propagation appear explicitly in the path integral representation of the Green functions and propagators. This fact is what provides a useful starting point for inverse problem formulation. The book is suitable for advanced graduate students in the mathematical, physical or in the engineering sciences. The presentation is quite self-contained, and not extremely rigorous.

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Details

  • NCID
    BA59742051
  • ISBN
    • 1402009674
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Dordrecht
  • Pages/Volumes
    viii, 236 p
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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