The norm of products of free random variables

DOI10.1007/S00440-006-0046-XzbMath1131.46044arXivmath/0611593OpenAlexW2061508227MaRDI QIDQ2642924

Vladislav Kargin

Publication date: 6 September 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611593

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Random matrices (algebraic aspects) (15B52)

Related Items (3)

Superconvergence in free probability limit theorems for arbitrary triangular arrays ⋮ \(k\)-divisible random variables in free probability ⋮ On the largest Lyapunov exponent for products of Gaussian matrices

Cites Work

• The stability of large random matrices and their products
• Characteristic exponents for a viscous fluid subjected to time dependent forces
• Characteristic exponents and invariant manifolds in Hilbert space
• Limit laws for random matrices and free products
• Subadditive ergodic theory
• Superconvergence to the central limit and failure of the Cramér theorem for free random variables
• Limit theorems for non-commutative operators. I
• Products of Random Matrices
• Noncommuting Random Products
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