Approximation of a free Poisson process by systems of freely independent particles
DOI10.1142/S0219025718500200zbMath1409.46037arXiv1603.00208OpenAlexW2964011754MaRDI QIDQ4554060
Marek Bożejko, Tobias Kuna, José Luís da Silva, Eugene W. Lytvynov
Publication date: 7 November 2018
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.00208
completely random measurefree Lévy processfree Poisson process\((N / V)\)-limitsfreely independent particle systems
Processes with independent increments; Lévy processes (60G51) Free probability and free operator algebras (46L54) Generalized stochastic processes (60G20) Random measures (60G57) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- Gibbs states over the cone of discrete measures
- Laplace operators on the cone of Radon measures
- Meixner class of non-commutative generalized stochastic processes with freely independent values. I: A characterization
- Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian
- Addition of freely independent random variables
- Stable laws and domains of attraction in free probability theory
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Processes with free increments
- Free probability theory and non-crossing partitions
- The Lévy-Itô decomposition in free probability
- Functional analysis. Vol. 1-2. Transl. from the Russian by Peter V. Malyshev
- Free point processes and free extreme values
- Completely random measures
- Free Random Variables
- Lectures on the Combinatorics of Free Probability
- Martin-Dynkin boundary of mixed poisson processes
- An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process
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