Remarks on a paper of Kotani concerning generalized reflectionlessSchrödinger potentials

Russell Johnson; Luca Zampogni

doi:10.3934/dcdsb.2010.14.559

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2010, Volume 14, Issue 2: 559-586. Doi: 10.3934/dcdsb.2010.14.559

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Remarks on a paper of Kotani concerning generalized reflectionless Schrödinger potentials

Russell Johnson^1, and
Luca Zampogni^2,

1.
Dipartimento di Sistemi e Informatica, Università di Firenze, Via di S. Marta 3, 50139 Firenze
2.
Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, 06123 Perugia

Received: August 31, 2009

Revised: November 30, 2009

Published: August 2010

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Abstract

The class of generalized reflectionless Schrödinger potentials was introduced by Marchenko-Lundina and was analyzed by Kotani. We state and prove various results concerning those stationary ergodic processes of Schrödinger potentials which are contained in this class.

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Mathematics Subject Classification: Primary: 37B55, 47B80; Secondary: 34A55, 34L40.

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