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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.00034 |
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| _version_ | 1866917300305657856 |
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| author | Carbone, Ingrid Volčič, Aljoša |
| author_facet | Carbone, Ingrid Volčič, Aljoša |
| contents | In this paper we will prove that for any planar measurable set of finite measure $M$, its successive Steiner symmetrizations with respect to the Kakutani-Fibonacci sequence of directions converge to the ball $M^*$ centered at the origin and having the same measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00034 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Steiner symmetrization with respect to the Kakutani-Fibonacci sequence of directions Carbone, Ingrid Volčič, Aljoša Metric Geometry 52A40, 11K06 In this paper we will prove that for any planar measurable set of finite measure $M$, its successive Steiner symmetrizations with respect to the Kakutani-Fibonacci sequence of directions converge to the ball $M^*$ centered at the origin and having the same measure. |
| title | Steiner symmetrization with respect to the Kakutani-Fibonacci sequence of directions |
| topic | Metric Geometry 52A40, 11K06 |
| url | https://arxiv.org/abs/2603.00034 |