论文标题

同质空间中双曲线组的等分分布

Equidistribution of hyperbolic groups in homogeneous spaces

论文作者

Gekhtman, Ilya, Taylor, Samuel J., Tiozzo, Giulio

论文摘要

我们证明,Zariski致密双曲基团的无限轨道在同质空间中等分,从某种意义上说,通过在Cayley图中平均沿球形获得的度量家族收敛到HAAR度量。

We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres in the Cayley graph converges to Haar measure.

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