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Polynomials orthogonal on the unit circle with random recurrence coefficients

Part of the Lecture Notes in Mathematics book series (LNM,volume 1550)

Abstract

Polynomials orthogonal on the unit circle whose recurrence coefficients are generated from a stationary stochastic process are considered. A Lyapunov exponent introduced and its properties are related to absolutely continuous components of the orthogonality measure.

Keywords

  • Compact Subset
  • Lyapunov Exponent
  • Unit Circle
  • Ergodic Theorem
  • Continuous Component

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Supported in part by NSF grant DMS-9005944

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© 1993 The Euler International Mathematical Institute

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Geronimo, J.S. (1993). Polynomials orthogonal on the unit circle with random recurrence coefficients. In: Gonchar, A.A., Saff, E.B. (eds) Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Lecture Notes in Mathematics, vol 1550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117473

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  • DOI: https://doi.org/10.1007/BFb0117473

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56931-2

  • Online ISBN: 978-3-540-47792-1

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