A Limit Theorem for Products of Free Unitary Operators
Vladislav Kargin
TL;DR
This paper provides a mathematical framework for understanding when the product of freely independent unitary operators converges to a uniform distribution on the unit circle, expanding free probability theory.
Contribution
It establishes necessary and sufficient conditions for the convergence of products of free unitary operators to the uniform law.
Findings
Identifies conditions for convergence to the uniform distribution
Advances understanding of free unitary operator products
Contributes to free probability theory
Abstract
This paper establishes necessary and sufficient conditions for the products of freely independent unitary operators to converge in distribution to the uniform law on the unit circle.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · advanced mathematical theories · Spectral Theory in Mathematical Physics