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We define a natural topology on the collection of (equivalence classes up to scaling of) locally finite measures on a homogeneous space and prove that in this topology, pushforwards of… Click to show full abstract
We define a natural topology on the collection of (equivalence classes up to scaling of) locally finite measures on a homogeneous space and prove that in this topology, pushforwards of certain infinite-volume orbits equidistribute in the ambient space. As an application of our results we prove an asymptotic formula for the number of integral points in a ball on some varieties as the radius goes to infinity.
Keywords:
limiting distributions;
translates divergent;
topology;
divergent diagonal;
distributions translates;
diagonal orbits
Journal Title: Compositio Mathematica
Year Published: 2019
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Journal Title: Compositio Mathematica
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!