On the MLC Conjecture and the Renormalization Theory in Complex Dynamics
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915700805730304 |
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| author | Dudko, Dzmitry |
| author_facet | Dudko, Dzmitry |
| contents | In this Note, we present recent developments in the Renormalization Theory of quadratic polynomials and discuss their applications, with an emphasis on the MLC conjecture, the problem of local connectivity of the Mandelbrot set, and on its geometric counterparts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24171 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the MLC Conjecture and the Renormalization Theory in Complex Dynamics Dudko, Dzmitry Dynamical Systems In this Note, we present recent developments in the Renormalization Theory of quadratic polynomials and discuss their applications, with an emphasis on the MLC conjecture, the problem of local connectivity of the Mandelbrot set, and on its geometric counterparts. |
| title | On the MLC Conjecture and the Renormalization Theory in Complex Dynamics |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2512.24171 |