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arXiv · 2605.19803

Random products of birational maps: Equidistribution of preimages of curves

Arnaud Nerrière
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Abstract

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.

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Arnaud Nerrière. 2026-05-19. Random products of birational maps: Equidistribution of preimages of curves. https://arxiv.org/abs/2605.19803

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