Výsledky vyhledávání - "Free unitary Brownian motion"

Inverse of the flow and moments of the free Jacobi process associated with a single projection

Autor: Nizar Demni, Tarek Hamdi

Publikováno v: Random Matrices: Theory and Applications
Random Matrices: Theory and Applications, World Scientific, 2018, 7 (2), 19 p. ⟨10.1142/S2010326318500016⟩
Random Matrices: Theory and Applications, World Scientific, 2018, 7 (2), 19 p. 〈10.1142/S2010326318500016〉
Random Matrices: Theory and Applications, 2018, 7 (2), 19 p. ⟨10.1142/S2010326318500016⟩

This paper is a companion to a series of papers devoted to the study of the spectral distribution of the free Jacobi process associated with a single projection. Actually, we notice that the flow solves a radial L\"owner equation and as such, the gen

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https://hal.archives-ouvertes.fr/hal-01397251

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Lagrange inversion formula, Laguerre polynomials and the free unitary Brownian motion

Autor: Nizar Demni

Publikováno v: Journal of Operator Theory
Journal of Operator Theory, Theta Foundation, 2017, 78 (1), pp.179-200. ⟨10.7900/jot.2016jun19.2139⟩
Journal of Operator Theory, 2017, 78 (1), pp.179-200. ⟨10.7900/jot.2016jun19.2139⟩
Journal of Operator Theory, 2017, 78 (1), pp.179-200. 〈10.7900/jot.2016jun19.2139〉

This paper is devoted to the computations of some relevant quantities associated with the free unitary Brownian motion. Using the Lagrange inversion formula, we first derive an explicit expression for its alternating star cumulants of even lengths an

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https://hal.archives-ouvertes.fr/hal-01338259

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Spectral distribution of the free Jacobi process, revisited

Autor: Tarek Hamdi

Publikováno v: Anal. PDE 11, no. 8 (2018), 2137-2148

We obtain a description for the spectral distribution of the free Jacobi process for any initial pair of projections. This result relies on a study of the unitary operator $RU_tSU_t^*$ where $R,S$ are two symmetries and $U_t$ a free unitary Brownian

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Star-cumulants of free unitary Brownian motion

Autor: Nizar Demni, Alexandru Nica, Mathieu Guay-Paquet

Publikováno v: Advances in Applied Mathematics
Advances in Applied Mathematics, Elsevier, 2015, 69, pp.1-45. ⟨10.1016/j.aam.2015.05.001⟩
Advances in Applied Mathematics, 2015, 69, pp.1-45. ⟨10.1016/j.aam.2015.05.001⟩
Advances in Applied Mathematics, Elsevier, 2015, 69, pp.1-45. 〈10.1016/j.aam.2015.05.001〉

We study joint free cumulants of u_t and u_t^{*}, where u_t is a free unitary Brownian motion at time t. We determine explicitly some special families of such cumulants. On the other hand, for a general joint cumulant of u_t and u_t^{*}, we "calculat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d84cfbdda930aaf66968a62f895a381
https://hal.archives-ouvertes.fr/hal-01057826

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