On the dimension drop conjecture for diagonal flows on the space of lattices
DOI10.1016/j.aim.2023.109058zbMath1520.37007arXiv2010.14065OpenAlexW3094814377WikidataQ123197123 ScholiaQ123197123MaRDI QIDQ6039826
Dmitry Kleinbock, Shahriar Mirzadeh
Publication date: 23 May 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.14065
Ergodicity, mixing, rates of mixing (37A25) Simultaneous homogeneous approximation, linear forms (11J13) Dimension theory of smooth dynamical systems (37C45) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44) Relations between ergodic theory and harmonic analysis (37A46)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hausdorff dimension of singular vectors
- Divergent trajectories on products of homogeneous spaces
- Escape of mass and entropy for diagonal flows in real rank one situations
- Dirichlet's theorem on Diophantine approximation and homogeneous flows
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Diophantine approximation
- Continued fraction Cantor sets, Hausdorff dimension, and functional analysis
- Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
- Singular systems of linear forms and non-escape of mass in the space of lattices
- Logarithm laws for flows on homogeneous spaces
- Escape rates and Perron-Frobenius operators: open and closed dynamical systems
- Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension
- Dirichlet is not just bad and singular
- Dimension estimates for the set of points with non-dense orbit in homogeneous spaces
- On \(\epsilon\)-escaping trajectories in homogeneous spaces
- Modified Schmidt games and a conjecture of Margulis
- Badly approximable systems of linear forms
- Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism
- Escape rates for Gibbs measures
- On effective equidistribution of expanding translates of certain orbits in the space of lattices
- An Introduction to the Geometry of Numbers
- Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
- A Hausdorff measure version of the Jarník–Schmidt theorem in Diophantine approximation
- A zero-one law for improvements to Dirichlet’s Theorem
- A Zero-One Law for Uniform Diophantine Approximation in Euclidean Norm
- Hausdorff dimension of divergent trajectories on homogeneous spaces
- Die Hausdorff-Dimension von kartesischen Produktmengen in metrischen Räumen.
- A measure estimate in geometry of numbers and improvements to Dirichlet's theorem
This page was built for publication: On the dimension drop conjecture for diagonal flows on the space of lattices
