Published January 2006
| Submitted
Journal Article
Open
Aizenman's Theorem for Orthogonal Polynomials on the Unit Circle
- Creators
-
Simon, Barry
Abstract
For suitable classes of random Verblunsky coefficients, including independent, identically distributed, rotationally invariant ones, we prove that if E(⎰dθ\2π│(C+e^(iθ) C-e^(iθ)_(kℓ)│^p)≤ C_(le)^kl∣k-ℓ∣ for some k_l > 0 and p < 1, then for suitable C_2 and k_2 > 0, E(sup_n∣(C^n)_kℓ∣) ≤C_2e^(-k_2∣k-ℓ∣. Here C is the CMV matrix.
Additional Information
© Springer 2005. Date received: September 27, 2004. Date accepted: February 8, 2005. Online publication: June 3, 2005. Communicated by Percy A. Deift. Supported in part by NSF grant DMS-0140592. I would like to thank Mihai Stoiciu for useful discussions.Attached Files
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Additional details
- Eprint ID
- 79429
- DOI
- 10.1007/s00365-005-0599-4
- Resolver ID
- CaltechAUTHORS:20170726-134636444
- DMS-0140592
- NSF
- Created
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2017-07-26Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field