Publication: Best possible rates of distribution of dense lattice orbits in homogeneous spaces
Best possible rates of distribution of dense lattice orbits in homogeneous spaces
Date
Date
Date
Citations
Ghosh, A., Gorodnik, A., & Nevo, A. (2018). Best possible rates of distribution of dense lattice orbits in homogeneous spaces. Journal Für Die Reine Und Angewandte Mathematik, 2018(745), 155–188. https://doi.org/10.1515/crelle-2016-0001
Abstract
Abstract
Abstract
This paper establishes upper and lower bounds on the speed of approximation in a wide range of natural Diophantine approximation problems. The upper and lower bounds coincide in many cases, giving rise to optimal results in Diophantine approximation which were inaccessible previously. Our approach proceeds by establishing, more generally, upper and lower bounds for the rate of distribution of dense orbits of a lattice subgroup Γ in a connected Lie (or algebraic) group G, acting on suitable homogeneous spaces G/H. The upper bound is de
Additional indexing
Creators (Authors)
- Ghosh, Anish
- Gorodnik, Alexander
- Nevo, Amos
Journal/Series Title
Journal/Series Title
Journal/Series Title
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Keywords
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Free Access at
Free Access at
Free Access at
Publisher DOI
Citations
Ghosh, A., Gorodnik, A., & Nevo, A. (2018). Best possible rates of distribution of dense lattice orbits in homogeneous spaces. Journal Für Die Reine Und Angewandte Mathematik, 2018(745), 155–188. https://doi.org/10.1515/crelle-2016-0001
