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Titlebook: Evolution Processes and the Feynman-Kac Formula; Brian Jefferies Book 1996 Springer Science+Business Media Dordrecht 1996 Feynman-Kac form

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发表于 2025-3-26 21:04:27 | 显示全部楼层
EntscheidungsunterstützungssystemeRather than trying to formulate general conditions for which we can write a perturbation to an unbounded evolution process as an integral in the sense of Chapter 7, in this chapter and the next we shall consider some specific examples associated with quantum processes.
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Vector Measures and Function Spaces,Integration with respect to vector and operator valued measures occupies a central place in our efforts to represent perturbations to evolutions. The present chapter collects some relevant facts to be referred to later.
发表于 2025-3-27 11:11:40 | 显示全部楼层
,The Schrödinger Process,Rather than trying to formulate general conditions for which we can write a perturbation to an unbounded evolution process as an integral in the sense of Chapter 7, in this chapter and the next we shall consider some specific examples associated with quantum processes.
发表于 2025-3-27 17:36:54 | 显示全部楼层
Sebastian Robert,Achim Hendriks measured by a collection of operator valued set functions that may or may not be .-additive. Typically, the set functions are constructed from a semigroup representing the undisturbed evolution of a system, and a spectral measure by which perturbations are implemented.
发表于 2025-3-27 19:48:49 | 显示全部楼层
Physica-Schriften zur Betriebswirtschaftigroup of continuous linear operators acting on . and that .: . → .(.) is a spectral measure, so that . is a .-additive (.)-process. Recall that this means that for each . ≥ 0, ..: .. → ℒ(.) is a .-additive set function defined on a .-algebra .. of subsets of Ω containing the collection ..{.} of all
发表于 2025-3-28 00:03:38 | 显示全部楼层
neue betriebswirtschaftliche forschung (nbf)nds in this direction to dynamical systems under the influence of random switching between modes of evolution, hence the name . introduced by R. Griego and R. Hersh [G-H]. The idea fits neatly into the concept of an evolution process outlined in Chapter 2. However, before we can do this, we need an
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Beurteilung des vorgestellten EUSy with transition functions for probabilistic Markov processes. In practice, it is simpler to work with semigroups of linear operators directly, but for the purpose of making the exposition more complete, the technique is outlined in Sections 1 and 2.
发表于 2025-3-28 11:51:00 | 显示全部楼层
Zusammenfassung, Implikationen und Ausblick,〈..〉. to be operator valued measures, that is, set functions defined on a .-algebra of sets, .-additive for the strong operator topology. One obstacle that arises is that for . > 0, the set function .. may not be bounded on the algebra generated by basic events before time ..
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