Existence, renormalization, and regularity properties of higher order derivatives of self-intersection local time of fractional Brownian motion
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Publication:5024373
DOI10.1080/07362994.2021.1893189zbMath1480.60101arXiv2011.13627OpenAlexW3109780771MaRDI QIDQ5024373
Publication date: 31 January 2022
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.13627
fractional Brownian motionWiener chaosself-intersection local timederivatives of self-intersection local time
Related Items (3)
Existence and Hölder continuity conditions for self-intersection local time of Rosenblatt process ⋮ Self-intersection local time derivative for systems of non-linear stochastic heat equations ⋮ Smoothness of higher order derivative of self-intersection local time for fractional Brownian motion
Cites Work
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- On the Tanaka formula for the derivative of self-intersection local time of fractional Brownian motion
- Remarks on the intersection local time of fractional Brownian motions
- Regularity of intersection local times of fractional Brownian motions
- Intersection local times of independent fractional Brownian motions as generalized white noise functionals
- Self-avoiding fractional Brownian motion -- the Edwards model
- Asymptotic properties of the derivative of self-intersection local time of fractional Brownian motion
- Regularity of renormalized self-intersection local time for fractional Brownian motion
- Renormalization and convergence in law for the derivative of intersection local time in \(\mathbf R^2\)
- Integral representation of renormalized self-intersection local times
- Propriétés d'intersection des marches aléatoires. I: Convergence vers le temps local d'intersection. (Properties of intersection of random walks. I: Convergence to local time intersection)
- The intersection local time of fractional Brownian motion in the plane
- Fluctuation results for the Wiener sausage
- \(H\)-separable rings and their Hopf-Galois extensions
- A remark on non-smoothness of the self-intersection local time of planar Brownian motion
- Self-intersection local time of fractional Brownian motions -- via chaos expansion
- Fractional smoothness of derivative of self-intersection local times
- Chaos decomposition and gap renormalization of Brownian self-intersection local times
- Functional limit theorem for the self-intersection local time of the fractional Brownian motion
- Renormalized self-intersection local time for fractional Brownian motion
- Tanaka's formula and renormalization for intersections of planar Brownian motion
- The Donsker delta function of a Lévy process with application to chaos expansion of local time
- Chaos expansions of double intersection local time of Brownian motion in \(\mathbb{R}^ d\) and renormalization
- Fractional smoothness of derivative of self-intersection local times with respect to bi-fractional Brownian motion
- Renormalized self-intersection local time of bifractional Brownian motion
- Asymptotic properties for \(q\)-th chaotic component of derivative of self-intersection local time of fractional Brownian motion
- Approximation of fractional local times: zero energy and derivatives
- Derivatives of local times for some Gaussian fields
- Higher-order derivative of intersection local time for two independent fractional Brownian motions
- Hölder continuity and occupation-time formulas for fBm self-intersection local time and its derivative
- Chaos expansions and local times
- Derivative of intersection local time of independent symmetric stable motions
- The spans in Brownian motion
- Large deviations for local times and intersection local times of fractional Brownian motions and Riemann-Liouville processes
- Intersection local time for two independent fractional Brownian motions
- Derivative for self-intersection local time of multidimensional fractional Brownian motion
- The Derivative of the Intersection Local Time of Brownian Motion Through Wiener Chaos
- The Malliavin Calculus and Related Topics
- The renormalization of self intersection local times of fractional Brownian motion
- THE RENORMALIZATION OF SELF-INTERSECTION LOCAL TIMES I: THE CHAOS EXPANSION
- CHAOS EXPANSION OF LOCAL TIME OF FRACTIONAL BROWNIAN MOTIONS
- Smoothness of self-intersection local time of multidimensional fractional Brownian motion
- The statistical mechanics of polymers with excluded volume
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