The techniques of topological dynamics and differential-dynamical systems are used to study polynomials orthogonal with respect to a measure supported on the unit circle. It is assumed that the reflection coefficients associated with these polynomials form a stationary stochastic ergodic process. In particular, the techniques mentioned above are used to prove a gap labelling result.
Rotation number associated with difference equations satisfied by polynomials orthogonal on the unit circle / R. Johnson; J. Geronimo. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 132:(1996), pp. 140-178. [10.1006/jdeq.1996.0175]
Rotation number associated with difference equations satisfied by polynomials orthogonal on the unit circle
JOHNSON, RUSSELL ALLAN;
1996
Abstract
The techniques of topological dynamics and differential-dynamical systems are used to study polynomials orthogonal with respect to a measure supported on the unit circle. It is assumed that the reflection coefficients associated with these polynomials form a stationary stochastic ergodic process. In particular, the techniques mentioned above are used to prove a gap labelling result.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
