Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds

Инканг Ким

Type: Preprint

Publication Date: 2011-01-01

Citations: 21

DOI: https://doi.org/10.48550/arxiv.1103.5003

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Counting, mixing and equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds	2013	Инканг Ким
+	Equal Circle Packings on a Torus	2010	Brandon Tries Jonathan S. Watson
+	Effective Circle Count for Apollonian packings and Closed horospheres	2012	Min Lee Hee Oh
+	Extremal disc packings in compact hyperbolic surfaces	2017	Ernesto Girondo
+	Effective joint equidistribution of primitive rational points on expanding horospheres	2022	Daniel El-Baz Bingrong Huang Min Lee
+ PDF Chat	Effective Circle Count for Apollonian Packings and Closed Horospheres	2013	Min Lee Hee Oh
+	Effective joint equidistribution of primitive rational points on expanding horospheres	2018	Daniel El-Baz Bingrong Huang Min Lee
+	Apollonian packings and hyperbolic geometry	1992	Minoru Ishida Sadayoshi Kojima
+	Equidistribution and counting of periodic flat tori	2022	Nguyen-Thi Dang Jialun Li
+	Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond	2010	Hee Oh
+	Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond	2010	Hee Oh
+	Harmonic analysis, Ergodic theory and Counting for thin groups	2012	Hee Oh
+	Lens Sequences in Apollonian Circle Packings	2021	S. van den Broek
+	Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds	2008	Alex Kontorovich Hee Oh
+	Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds	2008	Alex Kontorovich Hee Oh
+	Kleinian circle packings	1995	John R. Parker
+	Circle Packing in Euclidean and Hyperbolic Geometries	2008	Mary Elizabeth Wilkerson
+ PDF Chat	Unobstructed symplectic packing by ellipsoids for tori and hyperkähler manifolds	2017	Michael Entov Misha Verbitsky
+ PDF Chat	Packing spheres in Orlicz spaces	1976	Charles Cleaver
+	Algebraic curves and sphere packings	2012	M. A. Tsfasman

Works That Cite This (18)

Action	Title	Year	Authors
+ PDF Chat	Effective Circle Count for Apollonian Packings and Closed Horospheres	2013	Min Lee Hee Oh
+	Matrix coefficients, Counting and Primes for orbits of geometrically finite groups	2012	Amir Mohammadi Hee Oh
+	Harmonic analysis, Ergodic theory and Counting for thin groups	2012	Hee Oh
+	Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$	2012	François Maucourant Barbara Schapira
+ PDF Chat	Counting and equidistribution in Heisenberg groups	2016	Jouni Parkkonen Frédéric Paulin
+ PDF Chat	On the arithmetic of crossratios and generalised Mertens' formulas	2013	Jouni Parkkonen Frédéric Paulin
+	On the Local-Global Principle for Integral Apollonian-3 Circle Packings	2013	Xin Zhang
+ PDF Chat	On the local-global principle for integral Apollonian 3-circle packings	2015	Xin Zhang
+ PDF Chat	A Survey of Some Arithmetic Applications of Ergodic Theory in Negative Curvature	2017	Jouni Parkkonen Frédéric Paulin
+ PDF Chat	Generalization of Selberg’s $ \frac{3}{{16}} $ theorem and affine sieve	2011	Jean Bourgain Alex Gamburd Peter Sarnak

Works Cited by This (24)

Action	Title	Year	Authors
+	Strong Rigidity of Locally Symmetric Spaces.	1973	G. D. Mostow
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec
+	Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants	2002	Hee Oh
+	Length spectrum in rank one symmetric space is not arithmetic	2006	Инканг Ким
+	Harmonic Analysis of Spherical Functions on Real Reductive Groups	1988	Ramesh Gangolli V. S. Varadarajan
+ PDF Chat	Topologie du feuilletage fortement stable	2000	Françoise Dal’Bo
+ PDF Chat	On the existence and irreducibility of certain series of representations	1969	Bertram Kostant
+	Algebraic groups and number theory	1992	В. П. Платонов Andrei S. Rapinchuk
+	Linear Approximate Groups	2010	Emmanuel Breuillard Ben Green Terence Tao
+ PDF Chat	Representations of a semisimple Lie group on a Banach space. I	1953	Harish-chandra Harish-Chandra