Free stochastic measures via noncrossing partitions
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Publication:1590970
DOI10.1006/aima.2000.1936zbMath0978.46041arXivmath/9903084OpenAlexW1990717944MaRDI QIDQ1590970
Publication date: 15 January 2002
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9903084
Poisson-Charlier polynomialsnoncrossing partitionfree stochastic measurefree Poisson processfree compound Poisson processfree Kailath-Segall formulaItô product formula
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)
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Cites Work
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- A ``Fourier transform for multiplicative functions on non-crossing partitions
- Realization of free white noises
- Stochastic integration on the full Fock space with the help of a kernel calculus
- Stochastic integration on the Cuntz algebra \({\mathcal O}_ \infty\)
- Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
- Random matrices and \(K\)-theory for exact \(C^*\)-algebras
- Convolution and limit theorems for conditionally free random variables
- Stochastic integrals: A combinatorial approach
- Processes with free increments
- Some properties of crossings and partitions
- A one-parameter family of transforms, linearizing convolution laws for probability distributions
- Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
- Free Random Variables
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- On Q-independence, limit theorems and q-Gaussian distribution
- On the multiplication of free N -tuples of noncommutative random variables
