This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. The first volume concentrates on Feynman-Kac-type formulae and Gibbs measures.
With Applications to Rigorous Quantum Field Theory József Lörinczi, Fumio Hiroshima, Volker Betz ... A short course on cluster expansions, in: Phénomènes critiques, ... A simple definition of the Feynman integral, with applications.
This is the second updated and extended edition of the successful book on Feynman-Kac Theory.
Daley/Were-Jones: An Introduction to the Theory of Point Processes. ... Del Moral: Feynman-Kac Formula: Genealogical and Interacting Particle Systems with Applications Durrett: Probability Models for DNA Sequence Evolution.
... Feynman–Kac-Type Theorems and Gibbs Measures on Path Space. With Applications to Rigorous Quantum Field Theory. De Gruyter, 2011. [223] J. Lőrinczi, F. Hiroshima, and V. Betz. Feynman–Kac Type Theorems and Gibbs Measures on Path Space.
... space of a developable orbifold. J. Geom. Phys. 16, 71–98 (1995) 51. Lörinczi, J., Hiroshima, F., Betz, V.: Feynman–Kac–Type Theorems and Gibbs Measures on Path Space, Volume 1: Feynman–Kac–Type Formulae and Gibbs Measures, 2nd edn. De ...
... p - variation of stochastic processes is quite difficult , and ... functions of the Gaussian process . [ 64 ] Dudley , Norvaiša : An ...
... Gibbs measure and Nelson's energy renormalization scheme is a simple consequence of the Itô formula. We are able to show that the so obtained Hamiltonian is unitary equivalent with Nelson's and, going beyond his results, that ...
The numerous research surveys make the volume especially useful for graduate students and researchers who wish to start work in the above-mentioned areas, or who want to be informed about the current state of the art.
This book provides an introduction to propagator theory.
This book is an outgrowth of ideas originating from 1. Kluvanek. Unfortunately, Professor Kluvanek did not live to contribute to the project of writing up in a systematic form, the circle of ideas to which the present work is devoted.