Particle picture representation of the non-symmetric Rosenblatt process and Hermite processes of any order
From MaRDI portal
Publication:4630513
DOI10.1142/S0219493719500011zbMath1410.60042arXiv1703.00781OpenAlexW2962887376MaRDI QIDQ4630513
Publication date: 26 March 2019
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.00781
Wick productRosenblatt processintersection local timestable Lévy processesparticle systemsHermite processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the distribution of the Rosenblatt process
- Poisson process Fock space representation, chaos expansion and covariance inequalities
- From intersection local time to the Rosenblatt process
- Multiple Wiener-Ito integrals. With applications to limit theorems
- Self-intersection local time of order \(k\) for Gaussian processes in \({\mathcal S}^ \prime (\mathbb R^ {d})\).
- Some central limit theorems for Markov paths and some properties of Gaussian random fields
- Generalized Hermite processes, discrete chaos and limit theorems
- Particle picture approach to the self-intersection local time of density processes in \(\mathcal S^{\prime}(\mathbb R^d)\)
- Analysis of Variations for Self-similar Processes
- Selected Works of Murray Rosenblatt
- The Malliavin Calculus and Related Topics
- Non-central limit theorems for non-linear functional of Gaussian fields