On the spectrum of hierarchical Schrödinger-type operators acting on a Cantor-like set
- Authors: Bendikov A.D.1
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Affiliations:
- Institute of Mathematics, Wrocław University
- Issue: Vol 221 (2023)
- Pages: 20-30
- Section: Статьи
- URL: https://journal-vniispk.ru/2782-4438/article/view/271308
- DOI: https://doi.org/10.36535/0233-6723-2023-221-20-30
- ID: 271308
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Abstract
This paper is written within the project “On the spectrum of hierarchical Schrödinger-type operators” joint with A. Grigor’yan (Bielefeld University) and S. Molchanov (University of North Carolina at Charlotte) and continues the studies started earlier.
About the authors
A. D. Bendikov
Institute of Mathematics, Wrocław University
Author for correspondence.
Email: bendikov@math.uni.wroc.pl
Poland, Wrocław
References
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- Bendikov A., Grigor’yan A., Molchanov S. On the spectrum of the hierarchical Schr¨odinger-type operators/arXiv: 2006.02263v1 [math.SP].
- Bendikov A., Grigor’yan A., Molchanov S. On the spectrum of hierarchical Schr¨odinger-type operators: the case of potentials with local singularities/ arXiv: 2006.01821v1 [math.SP].
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- Molchanov S. A. Hierarchical random matrices and operators. Application to Anderson model// in: Multidi-mensional Statistical Analysis and Theory of Random Matrices. — Berlin: de Gruyter, 1996. — P. 179–194.
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