Dimension estimates for the set of points with non-dense orbit in homogeneous spaces

DOI10.1007/s00209-019-02386-7zbMath1450.37004arXiv1710.04898OpenAlexW2971449374WikidataQ127321308 ScholiaQ127321308MaRDI QIDQ2193048

Shahriar Mirzadeh, Dmitry Kleinbock

Publication date: 24 August 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04898

zbMATH Keywords

Diophantine approximationHausdorff dimensionexponential mixingdiagonalizable flows

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Simultaneous homogeneous approximation, linear forms (11J13) Homogeneous flows (37A17)

Related Items (1)

On the dimension drop conjecture for diagonal flows on the space of lattices

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