Random products of birational maps: Equidistribution of preimages of curves
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918511616458752 |
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| author | Nerrière, Arnaud |
| author_facet | Nerrière, Arnaud |
| contents | We consider iterated preimages of curves by random products of birational transformations of the plane. Following a recent work of Diller and Roeder, we study the action of the Cremona group on the inverse limit of the spaces of currents in all models of the plane. We show equidistribution for generic finitely supported random walks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19803 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Random products of birational maps: Equidistribution of preimages of curves Nerrière, Arnaud Algebraic Geometry Complex Variables Dynamical Systems We consider iterated preimages of curves by random products of birational transformations of the plane. Following a recent work of Diller and Roeder, we study the action of the Cremona group on the inverse limit of the spaces of currents in all models of the plane. We show equidistribution for generic finitely supported random walks. |
| title | Random products of birational maps: Equidistribution of preimages of curves |
| topic | Algebraic Geometry Complex Variables Dynamical Systems |
| url | https://arxiv.org/abs/2605.19803 |