Expanding Cone and Applications to Homogeneous Dynamics

DOI10.1093/imrn/rnz052zbMath1479.37006arXiv1510.05256OpenAlexW2963006327WikidataQ128384885 ScholiaQ128384885MaRDI QIDQ3382662

Ronggang Shi

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05256

zbMATH Keywords

horospherical subgroupnoncompact simple Lie grouppointwise equidistribution

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Semisimple Lie groups and their representations (22E46) Ergodic theorems, spectral theory, Markov operators (37A30) Homogeneous flows (37A17)

Related Items (5)

Equidistribution with an error rate and Diophantine approximation over a local field of positive characteristic ⋮ Expanding measures: Random walks and rigidity on homogeneous spaces ⋮ Count lifts of non-maximal closed horocycles on \(SL_N(\mathbb{Z}) \backslash SL_N(\mathbb{R})/SO_N({\mathbb{R}})\) ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines ⋮ On the rate of equidistribution of expanding translates of horospheres in \(\Gamma\backslash G\)

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