Affine Dunkl processes of type \(\widetilde{\mathrm{A}}_{1}\)
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Publication:441253
DOI10.1214/11-AIHP430zbMath1255.60150arXiv1010.3680MaRDI QIDQ441253
Publication date: 20 August 2012
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.3680
Weyl groupsultraspherical polynomialsaffine root systemsDunkl processesHeckman-Opdam processesmartingale decomposition
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- Skew-product representations of multidimensional Dunkl Markov processes
- Classical diffusion processes and total positivity
- A chaotic representation property of the multidimensional Dunkl processes
- The Heckman-Opdam Markov processes
- Radial Dunkl processes: existence, uniqueness and hitting time
- Asymptotic behavior of heat kernels on spheres of large dimensions
- Harmonic analysis of probability measures on hypergroups
- Markov processes related with Dunkl operators
- Rates of convergence to Gaussian measures on \(n\)-spheres and Jacobi hypergroups
- Some new examples of Markov processes which enjoy the time-inversion property
- Banach algebras for Jacobi series and positivity of a kernel
- Bounded Harmonic Functions for the Heckman-Opdam Laplacian
- Radial Dunkl Processes Associated with Dihedral Systems
- Differential-Difference Operators Associated to Reflection Groups
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