Discrete dynamical systems: inverse problems and related topics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915277997867008 |
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| author | Mikhaylov, Alexander Mikhaylov, Victor |
| author_facet | Mikhaylov, Alexander Mikhaylov, Victor |
| contents | In this review, we extend the Boundary Control method\, -- \,an approach to inverse problems based on control theory for dynamical systems \, -- \,to inverse problems for discrete dynamical systems. We apply our results to classical moment problems, Toda lattices, Weyl functions, de Branges spaces, Krein-Stieltjes strings, and also to problems of numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05161 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete dynamical systems: inverse problems and related topics Mikhaylov, Alexander Mikhaylov, Victor Analysis of PDEs Spectral Theory In this review, we extend the Boundary Control method\, -- \,an approach to inverse problems based on control theory for dynamical systems \, -- \,to inverse problems for discrete dynamical systems. We apply our results to classical moment problems, Toda lattices, Weyl functions, de Branges spaces, Krein-Stieltjes strings, and also to problems of numerical simulations. |
| title | Discrete dynamical systems: inverse problems and related topics |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2505.05161 |