Effective equidistribution of translates of tori in arithmetic homogeneous spaces and applications
Fuente:
arXiv
Saved in:
| Main Author: | Sarkar, Pratyush |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Strong spectral gap for geometrically finite hyperbolic manifolds
by: Kelmer, Dubi, et al.
Published: (2026)
by: Kelmer, Dubi, et al.
Published: (2026)
Effective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$
by: Strömbergsson, Andreas, et al.
Published: (2026)
by: Strömbergsson, Andreas, et al.
Published: (2026)
Finitary estimates for the distribution of lattice orbits in homogeneous spaces I: Riemannian metric
by: Lin, Zuo, et al.
Published: (2024)
by: Lin, Zuo, et al.
Published: (2024)
Exponential mixing and essential spectral gaps for Anosov subgroups
by: Chow, Michael, et al.
Published: (2024)
by: Chow, Michael, et al.
Published: (2024)
Generalization of Selberg's $3/16$ theorem for convex cocompact thin subgroups of $\operatorname{SO}(n, 1)$
by: Sarkar, Pratyush
Published: (2020)
by: Sarkar, Pratyush
Published: (2020)
Equidistribution of expanding translates of smooth curves in homogeneous spaces under the action of a product of SO(n,1)'s
by: Shin, Yubin
Published: (2025)
by: Shin, Yubin
Published: (2025)
Effective count of integer points on ternary affine quadrics and effective equidistribution
by: Zhang, Runlin
Published: (2026)
by: Zhang, Runlin
Published: (2026)
Exponential mixing of frame flows for convex cocompact locally symmetric spaces
by: Chow, Michael, et al.
Published: (2022)
by: Chow, Michael, et al.
Published: (2022)
Uniform exponential mixing for congruence covers of convex cocompact hyperbolic manifolds
by: Sarkar, Pratyush
Published: (2019)
by: Sarkar, Pratyush
Published: (2019)
Congruence counting in Schottky and continued fractions semigroups of $\operatorname{SO}(n, 1)$
by: Sarkar, Pratyush
Published: (2021)
by: Sarkar, Pratyush
Published: (2021)
Exponential mixing of frame flows for convex cocompact hyperbolic manifolds
by: Sarkar, Pratyush, et al.
Published: (2020)
by: Sarkar, Pratyush, et al.
Published: (2020)
Effective equidistribution, arithmetic purity of strong approximation, and geometric sieve for affine quadrics
by: Cao, Yang, et al.
Published: (2025)
by: Cao, Yang, et al.
Published: (2025)
A survey of some arithmetic applications of ergodic theory in negative curvature
by: Parkkonen, Jouni, et al.
Published: (2015)
by: Parkkonen, Jouni, et al.
Published: (2015)
Constructing bounded orbits of special types on homogeneous spaces
by: Einsiedler, Manfred, et al.
Published: (2025)
by: Einsiedler, Manfred, et al.
Published: (2025)
Local mixing of one-parameter diagonal flows on Anosov homogeneous spaces
by: Chow, Michael, et al.
Published: (2021)
by: Chow, Michael, et al.
Published: (2021)
The log moments of smallest denominators
by: Marklof, Jens
Published: (2023)
by: Marklof, Jens
Published: (2023)
BCZ map is weakly mixing
by: Cheung, Yitwah, et al.
Published: (2024)
by: Cheung, Yitwah, et al.
Published: (2024)
Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$
by: Yang, Lei
Published: (2022)
by: Yang, Lei
Published: (2022)
Quadratic forms of signature $(2, 2)$ or $(3, 1)$ I: effective equidistribution in quotients of $\mathrm{SL}_4(\mathbb{R})$
by: Lin, Zuo
Published: (2025)
by: Lin, Zuo
Published: (2025)
Integrability of Siegel transforms and an application
by: Pfitscher, René
Published: (2025)
by: Pfitscher, René
Published: (2025)
An upper bound of the Hausdorff dimension of singular vectors on affine subspaces
by: Shah, Nimish A., et al.
Published: (2023)
by: Shah, Nimish A., et al.
Published: (2023)
Limit distributions for $\text{SO}(n,1)$ action on $k$-lattices in $\mathbb{R}^{n+1}$
by: Bersudsky, Michael, et al.
Published: (2025)
by: Bersudsky, Michael, et al.
Published: (2025)
A survey and a result on inhomogeneous quadratic forms
by: Das, Sourav, et al.
Published: (2025)
by: Das, Sourav, et al.
Published: (2025)
Counting rational approximations on rank one flag varieties
by: Pfitscher, René
Published: (2024)
by: Pfitscher, René
Published: (2024)
Almost sure limit theorems with applications to non-regular continued fraction algorithms
by: Bonanno, Claudio, et al.
Published: (2023)
by: Bonanno, Claudio, et al.
Published: (2023)
Equidistribution of non-uniformly stretching translates of shrinking smooth curves and weighted Dirichlet approximation
by: Shah, Nimish A., et al.
Published: (2022)
by: Shah, Nimish A., et al.
Published: (2022)
On additive convolution sum of arithmetic functions and related questions
by: Misra, Bikram, et al.
Published: (2025)
by: Misra, Bikram, et al.
Published: (2025)
Counting functions over periodic orbits of a skew-product map
by: Gopinathan, Subith, et al.
Published: (2025)
by: Gopinathan, Subith, et al.
Published: (2025)
Counting and Joint equidistribution of approximates
by: Aggarwal, Gaurav, et al.
Published: (2024)
by: Aggarwal, Gaurav, et al.
Published: (2024)
On the homogeneous ergodic bilinear averages with $1$-bounded multiplicative weights
by: Abdalaoui, el Houcein el
Published: (2020)
by: Abdalaoui, el Houcein el
Published: (2020)
On some classification problems of multiplicative functions
by: Kasjan, S., et al.
Published: (2025)
by: Kasjan, S., et al.
Published: (2025)
On denseness of horospheres in higher rank homogeneous spaces
by: Landesberg, Or, et al.
Published: (2022)
by: Landesberg, Or, et al.
Published: (2022)
Diophantine transference principle over function fields
by: Das, Sourav, et al.
Published: (2023)
by: Das, Sourav, et al.
Published: (2023)
Inhomogeneous Khitchine-Groshev type theorems on manifolds over function fields
by: Das, Sourav, et al.
Published: (2022)
by: Das, Sourav, et al.
Published: (2022)
Joint partial equidistribution of Farey rays in negatively curved manifolds and trees
by: Parkkonen, Jouni, et al.
Published: (2022)
by: Parkkonen, Jouni, et al.
Published: (2022)
Exact Approximation In The Field Of Formal Series
by: Pandey, Aratrika
Published: (2025)
by: Pandey, Aratrika
Published: (2025)
An explicit result for short sums of positive arithmetic functions
by: Bordellès, Olivier
Published: (2024)
by: Bordellès, Olivier
Published: (2024)
Orders of Oscillation Motivated by Sarnak's Conjecture--Part II
by: Jiang, Yunping
Published: (2022)
by: Jiang, Yunping
Published: (2022)
Arithmetic quantum unique ergodicity for products of hyperbolic $2$- and $3$-spaces
by: Shem-Tov, Zvi, et al.
Published: (2022)
by: Shem-Tov, Zvi, et al.
Published: (2022)
Weak mixing and sparse equidistribution
by: Auer, Max
Published: (2024)
by: Auer, Max
Published: (2024)
Similar Items
-
Strong spectral gap for geometrically finite hyperbolic manifolds
by: Kelmer, Dubi, et al.
Published: (2026) -
Effective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$
by: Strömbergsson, Andreas, et al.
Published: (2026) -
Finitary estimates for the distribution of lattice orbits in homogeneous spaces I: Riemannian metric
by: Lin, Zuo, et al.
Published: (2024) -
Exponential mixing and essential spectral gaps for Anosov subgroups
by: Chow, Michael, et al.
Published: (2024) -
Generalization of Selberg's $3/16$ theorem for convex cocompact thin subgroups of $\operatorname{SO}(n, 1)$
by: Sarkar, Pratyush
Published: (2020)