Sparse Equidistribution of Unipotent Orbits in Finite-Volume Quotients of $\text{PSL}(2,\mathbb R)$, with Appendices of Hausdorff Dimensions of Subsets of Non-Diophantine Points and the Effective Equidistribution of Horospherical Orbits

Type: Article

Publication Date: 2015-03-20

Citations: 0

Locations

  • arXiv (Cornell University) - View

Similar Works

Action Title Year Authors
+ Sparse Equidistribution of Unipotent Orbits in Finite-Volume Quotients of $\text{PSL}(2,\mathbb R)$ 2015 Cheng Zheng
+ Sparse equidistribution of unipotent orbits in finite-volume quotients of $\text{PSL}(2,\mathbb R)$ 2016 Cheng Zheng
+ Effective Equidistribution in Homogeneous Dynamics with Applications in Number Theory 2019 Taylor McAdam
+ Effective equidistribution of expanding horospheres in the locally symmetric space SO(d) \ SL(d,R) / SL(d,Z) 2020 Cornelia Druţu
Norbert Peyerimhoff
+ PDF Chat Almost-prime times in horospherical flows on the space of lattices 2019 Taylor McAdam
+ On equidistribution of polynomial sequences in quotients of $PSL_2(\mathbb{R})$ 2023 Lauritz Streck
+ Almost-primes in horospherical flows on the space of lattices 2018 Taylor McAdam
+ Almost-primes in horospherical flows on the space of lattices 2018 Taylor McAdam
+ An effective Ratner equidistribution theorem for multiplicative Diophantine approximation on planar lines 2019 Sam Chow
Lei Yang
+ Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$ 2022 Lei Yang
+ Non-Concentration of Primes in $Γ\backslash PSL_2(\mathbb{R})$ 2023 Lauritz Streck
+ Horospherical coordinates of lattice points in hyperbolic space: effective counting and equidistribution 2016 Tal Horesh
Amos Nevo
+ Horospherical coordinates of lattice points in hyperbolic space: effective counting and equidistribution 2016 Tal Horesh
Amos Nevo
+ PDF Chat Equidistribution of expanding curves in homogeneous spaces and Diophantine approximation on square matrices 2016 Lei Yang
+ Equidistribution of Farey sequences on horospheres in covers of SL(n+1,Z)\SL(n+1,R) and applications 2017 Byron Heersink
+ Effective equidistribution of rational points on expanding horospheres 2016 Min Lee
Jens Marklof
+ Equidistribution of Farey sequences on horospheres in covers of and applications 2019 Byron Heersink
+ Margulis' Inequality for translates of horospherical orbits and applications to equidistribution 2023 Asaf Katz
+ PDF Chat On the denseness of some sparse horocycles 2021 Cheng Zheng
+ Expanding translates of shrinking submanifolds in homogeneous spaces and Diophantine approximation 2018 Nimish A. Shah
Pengyu Yang

Works That Cite This (0)

Action Title Year Authors

Works Cited by This (26)

Action Title Year Authors
+ PDF Chat Bounded orbits of nonquasiunipotent flows on homogeneous spaces 1995 Dmitry Kleinbock
Gregori Aleksandrovitch Margulis
+ Limit distributions of polynomial trajectories on homogeneous spaces 1994 Nimish A. Shah
+ Discrete Subgroups and Ergodic Theory**Editorial note. After consultation with G. A. Margulis it was agreed to make some changes directly on the original manuscript, without returning it to him, in order to save time. A. Borel kindly provided the necessary revision, including an additional argument supplied by G. Prasad in the proof of Lemma A. The appendix in the original manuscript has been transformed and reorganized into Section 4; the historical background material and the bibliography … 1989 G. A. Margulis
+ Uniform distribution of horocycle orbits for Fuchsian groups 1984 S. G. Dani
John Smillie
+ Raghunathan’s topological conjecture and distributions of unipotent flows 1991 Marina Ratner
+ Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation. 1992 M. M. Dodson
+ Invariant measures of horospherical flows on noncompact homogeneous spaces 1978 S. G. Dani
+ Strict measure rigidity for unipotent subgroups of solvable groups 1990 Marina Ratner
+ The Hausdorff dimension of the set of points with nondense orbit under a hyperbolic dynamical system 1991 Mariusz Urbański
+ PDF Chat Sparse equidistribution problems, period bounds and subconvexity 2010 Akshay Venkatesh