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This monograph 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. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject.
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Feynman-Kac-type theorems and Gibbs measures on path space, József Lőrinczi
- Language
- Released
- 2011
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- Title
- Feynman-Kac-type theorems and Gibbs measures on path space
- Language
- English
- Authors
- József Lőrinczi
- Publisher
- de Gruyter
- Released
- 2011
- ISBN10
- 3110201488
- ISBN13
- 9783110201482
- Category
- Mathematics
- Description
- This monograph 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. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject.