Contents
Chapter 1. Introduction 1
1. Statement of results 2
2. Processes in Class A and stable mixtures 6
3. Outline of remaining chapters 8
Chapter 2. Wick products 10
Chapter 3. Wick power chaos processes 14
1. Definition 14
2. Perturbations of Wick power chaoses 18
Chapter 4. Isomorphism theorems 29
1. Dynkin isomorphism theorem 29
2. Isomorphisms for renormalized self-intersect ion local times 31
Chapter 5. Equivalence of two versions of renormalized self-intersection local
times 53
1. The case n = 2 54
2. The general case 60
Chapter 6. Continuity 74
Chapter 7. Stable mixtures 77
Chapter 8. Examples 84
Chapter 9. A large deviation result 86
Appendix A. Necessary conditions 89
Appendix B. The case n = 3 103
1. The isomorphism theorem for n 3 103
2. £
3
(M) = 6
7
3(M) HO
Bibliography 124
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