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Evolution Processes and the Feynman-Kac Formula

Name: Evolution Processes and the Feynman-Kac Formula
Brand: Springer Netherlands
SKU: 01394963
Price: 40284 HUF
Availability: InStock
Author: B. Jefferies
ISBN: 9780792338437

B. Jefferies

Language

English

Book Hardback

Libristo code: 01394963

Publishers Springer Netherlands, November 1994

The evolution of a physical system can often be described in terms of a semigroup of linear operator... Full description

Libristo code: 01394963

271 b

40 284 Ft

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The evolution of a physical system can often be described in terms of a semigroup of linear operators. Observations of the system may be modelled by a spectral measure. A combination of these basic objects produces a family of operator valued set functions, by which perturbations of the evolution are represented as path integrals. In this book, random processes measured by operator valued set functions - evolution processes - are systematically examined for the first time. The Feynman-Kac formula, representing perturbations of the heat semigroup in terms of integrals with respect to Wiener measure, is extended in a number of directions: to other countably additive processes, not necessarily associated with a probability measure; to unbounded processes such as those associated with Feynman integrals; and to random evolutions. §Audience: Researchers in mathematical physics, functional analysis and stochastic processes.