Sodin M., Yuditski P. — The Limit-Periodic Finite-Difference Operator on l^2(Z) Associated with Iterations of Quadratic Polynomials
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Название: The Limit-Periodic Finite-Difference Operator on l^2(Z) Associated with Iterations of Quadratic Polynomials
Авторы: Sodin M., Yuditski P.
Аннотация:
The limit-periodic discrete operator of the Schr6dinger type on the axis Z associated with iterations of quadratic polynomials is investigated. It is proved that this operator has a singularly continuous simple spectrum. Connections with the Sinai-Bowen-Ruelle measure and the conformal map onto a special comblike domain are established.
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