Shrinking target problems for flows on homogeneous spaces

DOI10.1090/TRAN/7783zbMATH Open1426.37006arXiv1708.08953OpenAlexW3100189899WikidataQ128627233 ScholiaQ128627233MaRDI QIDQ5241499

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Publication date: 31 October 2019

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Abstract: We study shrinking targets problems for discrete time flows on a homogenous space $$ with $G$ a semisimple group and $Gamma$ an irreducible lattice. Our results apply to both diagonalizable and unipotent flows, and apply to very general families of shrinking targets. As a special case, we establish logarithm laws for cusp excursions of unipotent flows answering a question of Athreya and Margulis.

Full work available at URL: https://arxiv.org/abs/1708.08953

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