Effective equidistribution for some unipotent flows in PSL(2, mathbb{R})^k mod cocompact, irreducible lattice
classification
🧮 math.DS
keywords
mathbbcocompactequidistributionflowsgammairreduciblelatticebackslash
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Let $d \geq 2$, and let $\Gamma \subset PSL(2, \mathbb{R})^d$ be an irreducible, cocompact lattice. We prove a sharp estimate up to a logarithmic factor on the rate of equidistribution of coordinate horocycle flows on $\Gamma \backslash PSL(2, \mathbb{R})^d$.
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