Generalized random fields related to self-intersections of the Brownian motion
Let T(k)(ε)(λ; t(1),..., t(k)) = ρ(X(t)(1))q(ε)(X(t)(2) - X(t)(1))... q(ε)(X(t(k)) - X(t(k))-1), where X(t) is a Brownian motion in R(2), λ(dx) = ρ(x)dx, and q(ε) converges to Dirac's δ function as ε ↓ 0. The self-intersection local times of order k are described by a generalized random field T(k)(λ...
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| Pubblicato in: | Proc Natl Acad Sci U S A |
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| Autore principale: | |
| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
National Academy of Sciences
1986
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| Soggetti: | |
| Accesso online: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC323564/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593700/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.83.11.3575 |
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