Stochastic integrals and evolution equations with Gaussian random fields
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Publication:2272165
DOI10.1007/s00245-008-9051-zzbMath1184.60014arXiv0710.2506OpenAlexW2010541266MaRDI QIDQ2272165
K. Stemmann, Sergey V. Lototsky
Publication date: 6 August 2009
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.2506
Random fields (60G60) Stochastic integrals (60H05) Stochastic calculus of variations and the Malliavin calculus (60H07) Self-similar stochastic processes (60G18)
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Cites Work
- Unnamed Item
- Skorohod integration and stochastic calculus beyond the fractional Brownian scale
- Itô's formula with respect to fractional Brownian motion and its application
- Lectures on stochastic differential equations and Malliavin calculus
- Multiple Wiener-Ito integrals. With applications to limit theorems
- Stochastic analysis of the fractional Brownian motion
- Weighted stochastic Sobolev spaces and bilinear SPDEs driven by space-time white noise
- Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 1/2
- Integration questions related to fractional Brownian motion
- Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise
- Wiener chaos solutions of linear stochastic evolution equations
- Stochastic integral of divergence type with respect to fractional Brownian motion with Hurst parameter \(H \in (0,\frac {1}{2})\)
- General approach to filtering with fractional brownian noises — application to linear systems
- The Malliavin Calculus and Related Topics
- Stochastic analysis of fractional brownian motions
- Stochastic Calculus for Fractional Brownian Motion I. Theory
- Nonlinear filtering with fractional Brownian motion
