Smoothness of higher order derivative of self-intersection local time for fractional Brownian motion
From MaRDI portal
Publication:6107530
DOI10.1080/03610926.2021.1977322OpenAlexW3201610405MaRDI QIDQ6107530
Qiangqiang Chang, Guang Jun Shen, Qian Yu
Publication date: 3 July 2023
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2021.1977322
fractional Brownian motionsmoothnessintersection local timescollision local timesderivative of self-intersection local time
Fractional processes, including fractional Brownian motion (60G22) Stochastic calculus of variations and the Malliavin calculus (60H07)
Related Items (2)
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
Cites Work
- Unnamed Item
- On the Tanaka formula for the derivative of self-intersection local time of fractional Brownian motion
- Asymptotic properties of the derivative of self-intersection local time of fractional Brownian motion
- \(p\)-variation of an integral functional driven by fractional Brownian motion
- Renormalization and convergence in law for the derivative of intersection local time in \(\mathbf R^2\)
- Integration with respect to fractional local time with Hurst index \(1/2 < \text H < 1\)
- The intersection local time of fractional Brownian motion in the plane
- Smoothness of Brownian local times and related functionals
- Fractional order Sobolev spaces on Wiener space
- Smoothness of stopping times of diffusion processes
- Self-intersection local time of fractional Brownian motions -- via chaos expansion
- Fractional smoothness of derivative of 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
- Chaotic expansion and smoothness of some functionals of the fractional Brownian motion
- 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
- Asymptotic properties for \(q\)-th chaotic component of derivative of self-intersection local time of fractional Brownian motion
- 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
- Higher-order derivative of self-intersection local time for fractional Brownian motion
- Derivative for self-intersection local time of multidimensional fractional Brownian motion
- Analysis on Gaussian Spaces
- The Malliavin Calculus and Related Topics
- Regularity of the Local Time for the d-dimensional Fractional Brownian Motion with N-parameters
- Existence, renormalization, and regularity properties of higher order derivatives of self-intersection local time of fractional Brownian motion
- Smoothness of self-intersection local time of multidimensional fractional Brownian motion
This page was built for publication: Smoothness of higher order derivative of self-intersection local time for fractional Brownian motion