Pointwise equidistribution with an error rate and with respect to unbounded functions

DOI10.1007/s00208-016-1404-3zbMath1417.37056arXiv1505.06717OpenAlexW2963611894MaRDI QIDQ514367

Dmitry Kleinbock, Barak Weiss, Ronggang Shi

Publication date: 1 March 2017

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

Full work available at URL: https://arxiv.org/abs/1505.06717

zbMATH Keywords

diagonalizable group actionerror rate of equidistributionlattice approximationSiegel transform

Mathematics Subject Classification ID

Related Items (15)

Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Quantitative multiple pointwise convergence and effective multiple correlations ⋮ Equidistribution with an error rate and Diophantine approximation over a local field of positive characteristic ⋮ A measure estimate in geometry of numbers and improvements to Dirichlet's theorem ⋮ Pointwise equidistribution for one parameter diagonalizable group action on homogeneous space ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines ⋮ Random walks, spectral gaps, and Khintchine's theorem on fractals ⋮ Effective rational approximation on spheres ⋮ Measure rigidity of Anosov flows via the factorization method ⋮ Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions ⋮ On the rate of equidistribution of expanding translates of horospheres in \(\Gamma\backslash G\) ⋮ Pointwise equidistribution and translates of measures on homogeneous spaces ⋮ Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation ⋮ Metric Diophantine approximation with congruence conditions ⋮ Quantitative rational approximation on spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effective decay of multiple correlations in semidirect product actions
• Dirichlet's theorem on Diophantine approximation and homogeneous flows
• Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
• Successive-minima-type inequalities
• Flows on homogeneous spaces and Diophantine properties of matrices.
• Free path lengths in quasicrystals
• An introduction to the geometry of numbers.
• A mean value theorem in geometry of numbers
• Ergodic theory and Diophantine approximation for translation surfaces and linear forms
• On effective equidistribution of expanding translates of certain orbits in the space of lattices
• A Metrical Theorem in Diophantine Approximation
• A Metrical Theorem In Geometry of Numbers
• On the Dependence of the Convergence Rate in the Strong Law of Large Numbers for Stationary Processes on the Rate of Decay of the Correlation Function
• The rate of convergence in ergodic theorems
• On actions of epimorphic subgroups on homogeneous spaces
• Spiraling of approximations and spherical averages of Siegel transforms

This page was built for publication: Pointwise equidistribution with an error rate and with respect to unbounded functions