A view towards mixing in holomorphic correspondences
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915904057507840 |
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| author | Mana, Sathi Trikkadeeri Seshadri, Bharath Krishna |
| author_facet | Mana, Sathi Trikkadeeri Seshadri, Bharath Krishna |
| contents | In this manuscript we develop a theory of mixing and weakly mixing in the study of dynamics of holomorphic correspondences defined on a compact connected complex manifold. We also connect these notions to the theory of ergodicity of holomorphic correspondences developed by Londhe. Further, we give motivation and illustrative examples that compare the present scenario with that of maps. Finally, we study product of two holomorphic correspondences and use them to characterise weakly mixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00042 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A view towards mixing in holomorphic correspondences Mana, Sathi Trikkadeeri Seshadri, Bharath Krishna Dynamical Systems 37A05, 37A25 (Primary) 32A08, 32H50, 37A50 (Secondary) In this manuscript we develop a theory of mixing and weakly mixing in the study of dynamics of holomorphic correspondences defined on a compact connected complex manifold. We also connect these notions to the theory of ergodicity of holomorphic correspondences developed by Londhe. Further, we give motivation and illustrative examples that compare the present scenario with that of maps. Finally, we study product of two holomorphic correspondences and use them to characterise weakly mixing. |
| title | A view towards mixing in holomorphic correspondences |
| topic | Dynamical Systems 37A05, 37A25 (Primary) 32A08, 32H50, 37A50 (Secondary) |
| url | https://arxiv.org/abs/2604.00042 |