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September  2010, 14(2): 559-586. doi: 10.3934/dcdsb.2010.14.559

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, Italy

Received  September 2009 Revised  December 2009 Published  June 2010

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.
Keywords: stationary ergodic processes., Sato-Segal-Wilson potentials, Generalized reflectionless potentials.
Mathematics Subject Classification: Primary: 37B55, 47B80; Secondary: 34A55, 34L4.
Citation: Russell Johnson, Luca Zampogni. Remarks on a paper of Kotani concerning generalized reflectionless Schrödinger potentials. Discrete and Continuous Dynamical Systems - B, 2010, 14 (2) : 559-586. doi: 10.3934/dcdsb.2010.14.559
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