Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection

DOI10.1016/J.JFA.2021.109362zbMath1484.60088arXiv2002.04585OpenAlexW3006483650MaRDI QIDQ2067062

Nizar Demni, Tarek Hamdi

Publication date: 17 January 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04585

zbMATH Keywords

Hamiltonian systemfree unitary Brownian motionBrown measureself-adjoint projection

Mathematics Subject Classification ID

Brownian motion (60J65)

Related Items (7)

Itô's formula for noncommutative \(C^2\) functions of free Itô processes ⋮ Summing free unitary Brownian motions with applications to quantum information ⋮ The Brown measure of a family of free multiplicative Brownian motions ⋮ Brown measures of free circular and multiplicative Brownian motions with self-adjoint and unitary initial conditions ⋮ The Brown measure of the sum of a self-adjoint element and an elliptic element ⋮ The Brown measure of the free multiplicative Brownian motion ⋮ The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element

Cites Work

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• Spectral distribution of the free Jacobi process, revisited
• Brown measure support and the free multiplicative Brownian motion
• Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices
• Determinant theory in finite factors
• Truncations of random unitary matrices

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