Found 54 Documents (Results 1–54)
Palm measures for Dirac operators and the \(\operatorname{Sine}_{\beta}\) process. (English) Zbl 1517.60016
On the Hahn’s property for matrix orthogonal polynomials on the unit circle. (English) Zbl 1531.33020
Operator level limit of the circular Jacobi \(\beta \)-ensemble. (English) Zbl 1504.60014
Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi)
Large deviations for spectral measures of some spiked matrices. (English) Zbl 1500.60015
Reviewer: Ivan Podvigin (Novosibirsk)
Exponential of the \(S^1\) trace of the free field and Verblunsky coefficients. (English) Zbl 1493.60015
Occupation time for classical and quantum walks. (English) Zbl 1491.60060
Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 197-212 (2021).
On Simon’s Hausdorff dimension conjecture. (English) Zbl 1492.42024
Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 31-39 (2021).
Extensions of Rosenblatt’s results on the asymptotic behavior of the prediction error for deterministic stationary sequences. (English) Zbl 1489.60052
A CMV connection between orthogonal polynomials on the unit circle and the real line. (English) Zbl 1475.42040
Reviewer: Lotfi Khériji (Tunis)
MSC:
42C05
A matrix version of a higher-order Szegő theorem. (English) Zbl 1476.60007
Reviewer: Josef Kofroň (Praha)
Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients. (English) Zbl 1466.37021
Applications of a new formula for OPUC with periodic Verblunsky coefficients. (English) Zbl 1422.42040
Reviewer: Pierluigi Vellucci (Roma)
Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences. (English) Zbl 1396.42004
Simple matrix representations of the orthogonal polynomials for a rational spectral density on the unit circle. (English) Zbl 1390.33022
On Szegő’s theorem for a nonclassical case. (English) Zbl 1361.42025
Reviewer: Ahmed I. Zayed (Chicago)
Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon lemmas. (English) Zbl 1354.47023
MSC:
47B36
Verblunsky coefficients related with periodic real sequences and associated measures on the unit circle. (English) Zbl 1373.60012
Para-orthogonal polynomials from constant Verblunsky coefficients. (English) Zbl 1358.42021
MSC:
42C05
Orthogonal polynomials on the unit circle with Verblunsky coefficients defined by the skew-shift. (English) Zbl 1329.33011
Reviewer: María-José Cantero (Zaragoza)
Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. I: The essential support of the measure. (English) Zbl 1283.33005
Reviewer: Andrei A. Kapaev (St. Petersburg)
Zeros of non-Baxter paraorthogonal polynomials on the unit circle. (English) Zbl 1248.42024
Reviewer: Lizhong Peng (Beijing)
Asymptotics of the \(L^2\) norm of derivatives of OPUC. (English) Zbl 1220.42019
Reviewer: Marcel G. de Bruin (Haarlem)
An inverse spectral theory for finite CMV matrices. (English) Zbl 1191.15008
Reviewer: C. M. da Fonseca (Coimbra)
Trace formulas and a Borg-type theorem for CMV operators with matrix-valued coefficients. (English) Zbl 1186.47029
Matrix measures on the unit circle, moment spaces, orthogonal polynomials and the Geronimus relations. (English) Zbl 1181.42024
Energy-critical NLS with quadratic potentials. (English) Zbl 1188.33015
Reviewer: Piotr Garbaczewski (Opole)
Rational interpolation and mixed inverse spectral problem for finite CMV matrices. (English) Zbl 1193.30048
Reviewer: Antonio Serra (Lisboa)
CMV matrices with asymptotically constant coefficients. Szegő–Blaschke class, scattering theory. (English) Zbl 1167.47029
Reviewer: Petru A. Cojuhari (Kraków)
Orthogonal polynomials on the unit circle via a polynomial mapping on the real line. (English) Zbl 1225.42019
AR and MA representation of partial autocorrelation functions, with applications. (English) Zbl 1138.62049
A Borg-type theorem associated with orthogonal polynomials on the unit circle. (English) Zbl 1131.47027
Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk)
Asymptotic behaviour of Verblunsky coefficients. (English) Zbl 1106.33012
Reviewer: Wolfram Koepf (Kassel)
MSC:
33C47
Aizenman’s theorem for orthogonal polynomials on the unit circle. (English) Zbl 1104.42014
Reviewer: Leonid Golinskii (Kharkov)
Verblunsky coefficients with Coulomb-type decay. (English) Zbl 1100.42016
Reviewer: Leonid Golinskii (Kharkov)
MSC:
42C05
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials. (English) Zbl 1099.30027
Reviewer: Leonid Golinskii (Kharkov)
Lieb-Thirring and Bargmann-type inequalities for circular arc. (English) Zbl 1100.42020
Reviewer: Andrei Martínez Finkelshtein (Almeria)
MSC:
42C05
The statistical distribution of the zeros of random paraorthogonal polynomials on the unit circle. (English) Zbl 1088.42017
Asymptotics of the orthogonal polynomials for the Szegő class with a polynomial weight. (English) Zbl 1099.41025
Reviewer: Leonid Golinskii (Kharkov)
OPUC on one foot. (English) Zbl 1108.42005
Reviewer: Leonid Golinskii (Kharkov)
Orthogonal polynomials on the unit circle. Part 2: Spectral theory. (English) Zbl 1082.42021
Colloquium Publications. American Mathematical Society 54, Part 2. Providence, RI: American Mathematical Society (ISBN 0-8218-3675-7/hbk). xxi, 467-1044. (2005).
Reviewer: Leonid Golinskii (Kharkov)
Orthogonal polynomials on the unit circle. Part 1: Classical theory. (English) Zbl 1082.42020
Colloquium Publications. American Mathematical Society 54, Part 1. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3446-0/hbk). xxv, 466 p. (2005).
Reviewer: Leonid Golinskii (Kharkov)
Absolutely continuous measures on the unit circle with sparse Verblunsky coefficients. (English) Zbl 1076.42018
Reviewer: Andrei Martínez Finkelshtein (Almeria)
MSC:
42C05
Orthogonal polynomials on the unit circle: new results. (English) Zbl 1086.42501
Reviewer: Marcel G. de Bruin (Haarlem)
Denisov’s theorem on recurrence coefficients. (English) Zbl 1061.42014
Reviewer: Leonid Golinskii (Kharkov)
MSC:
42C05
Analogs of the \(m\)-function in the theory of orthogonal polynomials on the unit circle. (English) Zbl 1055.33010
Reviewer: Leonid Golinskii (Kharkov)
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