Concentration of the number of real roots of random polynomials
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916123972206592 |
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| author | Aguirre, Ander Nguyen, Hoi H. Wang, Jingheng |
| author_facet | Aguirre, Ander Nguyen, Hoi H. Wang, Jingheng |
| contents | Many statistics of roots of random polynomials have been studied in the literature, but not much is known on the concentration aspect. In this note we present a systematic study of this question, aiming towards nearly optimal bounds to some extent. Our method is elementary and works well for many models of random polynomials, with gaussian or non-gaussian coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08773 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Concentration of the number of real roots of random polynomials Aguirre, Ander Nguyen, Hoi H. Wang, Jingheng Probability Many statistics of roots of random polynomials have been studied in the literature, but not much is known on the concentration aspect. In this note we present a systematic study of this question, aiming towards nearly optimal bounds to some extent. Our method is elementary and works well for many models of random polynomials, with gaussian or non-gaussian coefficients. |
| title | Concentration of the number of real roots of random polynomials |
| topic | Probability |
| url | https://arxiv.org/abs/2402.08773 |