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math.DSSep 23, 2016
1
citations (OpenAlex)
authors
  • Antonin Guilloux
institutions
  • Institut de Mathématiques de Jussieu-Paris Rive Gauche
  • Sorbonne Université
arXiv abstractPDF
paper

Equidistribution in S-arithmetic and adelic spaces

arXiv:1609.07319 · doi:10.5802/afst.1434

Abstract

We give an introduction to adelic mixing and its applications for mathematicians knowing about the mixing of the geodesic flow on hyperbolic surfaces. We focus on the example of the Hecke trees in the modular surface.

References in corpus (2)

  • Distribution of periodic torus orbits and Duke's theorem for cubic fields
  • A brief remark on orbits of SL(2,Z) in the euclidean plane
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