Hausdorff dimension of divergent trajectories on homogeneous spaces

DOI10.1112/S0010437X19007711zbMath1436.37040arXiv1805.07444OpenAlexW2803646927WikidataQ126538376 ScholiaQ126538376MaRDI QIDQ5207430

Lifan Guan, Ronggang Shi

Publication date: 23 December 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07444

zbMATH Keywords

Hausdorff dimensionhomogeneous dynamicsdivergent trajectory

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Dynamics induced by flows and semiflows (37C10) Orbit growth in dynamical systems (37C35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dimension theory of smooth dynamical systems (37C45) Homogeneous flows (37A17)

Related Items (4)

Divergent trajectories on products of homogeneous spaces ⋮ On the dimension drop conjecture for diagonal flows on the space of lattices ⋮ Dimension estimates for the set of points with non-dense orbit in homogeneous spaces ⋮ A variational principle in the parametric geometry of numbers

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