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Renormalized Self-Intersection Local Times and Wick Power Chaos Processes.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1999Copyright date: ©1999Edition: 1st edDescription: 1 online resource (138 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470402662
Subject(s): Genre/Form: Additional physical formats: Print version:: Renormalized Self-Intersection Local Times and Wick Power Chaos ProcessesDDC classification:
  • 510 s;519.2/3
LOC classification:
  • QA274.47 -- .M37 1999eb
Online resources:
Contents:
Intro -- Contents -- Chapter 1. Introduction -- 1. Statement of results -- 2. Processes in Class A and stable mixtures -- 3. Outline of remaining chapters -- Chapter 2. Wick products -- Chapter 3. Wick power chaos processes -- 1. Definition -- 2. Perturbations of Wick power chaoses -- Chapter 4. Isomorphism theorems -- 1. Dynkin isomorphism theorem -- 2. Isomorphisms for renormalized self-intersection local times -- Chapter 5. Equivalence of two versions of renormalized self-intersection local times -- 1. The case n = 2 -- 2. The general case -- Chapter 6. Continuity -- Chapter 7. Stable mixtures -- Chapter 8. Examples -- Chapter 9. A large deviation result -- Appendix A. Necessary conditions -- Appendix B. The case n = 3 -- 1. The isomorphism theorem for n = 3 -- 2. L[sub(3)](μ) = 6[sub(γ3)](μ) -- Bibliography.
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Intro -- Contents -- Chapter 1. Introduction -- 1. Statement of results -- 2. Processes in Class A and stable mixtures -- 3. Outline of remaining chapters -- Chapter 2. Wick products -- Chapter 3. Wick power chaos processes -- 1. Definition -- 2. Perturbations of Wick power chaoses -- Chapter 4. Isomorphism theorems -- 1. Dynkin isomorphism theorem -- 2. Isomorphisms for renormalized self-intersection local times -- Chapter 5. Equivalence of two versions of renormalized self-intersection local times -- 1. The case n = 2 -- 2. The general case -- Chapter 6. Continuity -- Chapter 7. Stable mixtures -- Chapter 8. Examples -- Chapter 9. A large deviation result -- Appendix A. Necessary conditions -- Appendix B. The case n = 3 -- 1. The isomorphism theorem for n = 3 -- 2. L[sub(3)](μ) = 6[sub(γ3)](μ) -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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