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20002023
most citedAsymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials

196 citations · 655 across the 31 of their papers we have counts for

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Showing 2004Show all

3 papers · 1 filter

math.NT2004

Ergodic theoretic proof of equidistribution of Hecke points

Alex Eskin, Hee Oh

We use the theory of unipotent flows to prove, in a general setting, the equidistribution of Hecke points. We follow the approach of Burger-Sarnak, and use a theorem of Mozes-Shah.

math.NT2004

Representations of integers by an invariant polynomial and unipotent flows

Alex Eskin, Hee Oh

We study a refined version of the Linnik problem on the asymptotic behavior of the number of representations of integer by an integral polynomial as tends to infinity. We a…

math.DS2004

Unipotent flows on the space of branched covers of Veech surfaces

Alex Eskin, Jens Marklof, Dave Witte Morris

There is a natural action of SL(2,R) on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup $U = {\begin{pmatrix} 1 & * 0 & 1 \end{pmatrix…