Renormalized self-intersection local time for fractional Brownian motion
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Publication:1781172
DOI10.1214/009117905000000017zbMath1093.60017arXivmath/0506592OpenAlexW2166702930MaRDI QIDQ1781172
Publication date: 23 June 2005
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0506592
Gaussian processes (60G15) Central limit and other weak theorems (60F05) Applications of stochastic analysis (to PDEs, etc.) (60H30) Self-similar stochastic processes (60G18) (L^p)-limit theorems (60F25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the self-intersection local time of Brownian motion -- via chaos expansion
- The intersection local time of fractional Brownian motion in the plane
- A remark on non-smoothness of the self-intersection local time of planar Brownian motion
- Exponential integrability and application to stochastic quantization
- Self-intersection local time of fractional Brownian motions -- via chaos expansion
- Chaos expansions of double intersection local time of Brownian motion in \(\mathbb{R}^ d\) and renormalization
- Central limit theorems for sequences of multiple stochastic integrals
- THE RENORMALIZATION OF SELF-INTERSECTION LOCAL TIMES I: THE CHAOS EXPANSION
- Local times of self-intersection for multidimensional Brownian motion
- Local nondeterminism and local times of Gaussian processes
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