Xin Zhang

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the Local-Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon	2024	Alex Kontorovich Xin Zhang
+	On length sets of subarithmetic hyperbolic manifolds	2023	Alex Kontorovich Xin Zhang
+	A vanishing theorem for the Mathai-Zhang index	2022	Xin Zhang
+ PDF Chat	On the local-global principle for integral Apollonian 3-circle packings	2015	Xin Zhang
+	The further description on the structure of homology group with integral coefficients	1999	Xin Zhang

Common Coauthors

Coauthor	Papers Together
Alex Kontorovich	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Generalization of Selberg’s $ \frac{3}{{16}} $ theorem and affine sieve	2011	Jean Bourgain Alex Gamburd Peter Sarnak	2
+ PDF Chat	Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups	1984	Dennis Sullivan	2
+ PDF Chat	The limit set of a Fuchsian group	1976	S. J. Patterson	2
+	The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces	1982	Peter D. Lax Ralph S. Phillips	2
+	Strong Approximation for Zariski-dense Subgroups of Semi-Simple Algebraic Groups	1984	Boris Weisfeiler	2
+ PDF Chat	On the local-global conjecture for integral Apollonian gaskets	2013	Jean Bourgain Alex Kontorovich	2
+	A proof of the positive density conjecture for integer Apollonian circle packings	2011	Jean Bourgain Elena Fuchs	1
+	On the number of conjugacy classes in SL(2,Z)	1980	S. Chowla John Cowles Mary Jane Cowles	1
+ PDF Chat	The Bowl of Integers and the Hexlet	1937	Frederick Soddy	1
+	The Asymptotic Distribution of Lattice Points in Euclidean and Non-Euclidean Spaces	1982	Peter D. Lax Ralph S. Phillips	1
+ PDF Chat	Geometric quantization for proper actions	2010	Varghese Mathai Weiping Zhang	1
+ PDF Chat	Apollonian circle packings: number theory	2003	Ronald Graham Jeffrey C. Lagarias Colin L. Mallows Allan R. Wilks Catherine H. Yan	1
+ PDF Chat	Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group	2005	Ronald Graham Jeffrey C. Lagarias Colin L. Mallows Allan R. Wilks Catherine H. Yan	1
+ PDF Chat	A generalization of Apollonian packing of circles	2010	Gerhard Guettler Colin L. Mallows	1
+ PDF Chat	Applications of Thin Orbits	2016	Alex Kontorovich	1
+	Groups Acting on Hyperbolic Space	1998	Jürgen Elstrodt Fritz Grunewald J. Mennicke	1
+ PDF Chat	Effective Bisector Estimate with Application to Apollonian Circle Packings	2013	Ilya Vinogradov	1
+ PDF Chat	From Apollonius to Zaremba: Local-global phenomena in thin orbits	2013	Alex Kontorovich	1
+	Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds	2011	Alex Kontorovich Hee Oh	1
+	On Representation of Integers from Thin Subgroups of SL(2, ℤ) with Parabolics	2018	Xin Zhang	1
+ PDF Chat	Levels of Distribution and the Affine Sieve	2014	Alex Kontorovich	1
+	The Affine Sieve Beyond Expansion I: Thin Hypotenuses: Fig. 1.	2014	Jean Bourgain Alex Kontorovich	1
+ PDF Chat	On Zaremba's conjecture	2014	Jean Bourgain Alex Kontorovich	1
+ PDF Chat	A note on the Lichnerowicz vanishing theorem for proper actions	2017	Weiping Zhang	1
+ PDF Chat	On the local-global principle for integral Apollonian 3-circle packings	2015	Xin Zhang	1
+ PDF Chat	Beyond Expansion IV: Traces of Thin Semigroups	2018	Jean Bourgain Alex Kontorovich	1
+ PDF Chat	Local-global principles in circle packings	2019	Elena Fuchs Katherine E. Stange Xin Zhang	1
+ PDF Chat	Positive scalar curvature and an equivariant Callias-type index theorem for proper actions	2021	Hao Guo Peter Hochs Varghese Mathai	1
+ PDF Chat	Expansion in perfect groups	2012	Alireza Salehi Golsefidy Péter P. Varjú	1
+ PDF Chat	On the local-global conjecture for commutator traces	2021	Brooke Logan Ogrodnik	1
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	1
+	On Character Sums and L-Series<sup>†</sup>	1962	D. A. Burgess	1
+	Vector Fields on Manifolds	1970	Michael Atiyah	1
+	Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds	2011	Инканг Ким	1
+ PDF Chat	The Hausdorff dimension of singular sets of properly discontinuous groups in 𝑁-dimensional space	1965	Alan F. Beardon	1
+	On the Besicovitch Dimension of the Residual Set of Arbitrarily Packed Disks in the Plane	1967	D. G. Larman	1
+	Fields of large transcendence degree generated by values of elliptic functions	1983	David Masser G. Wüstholz	1
+	A Simple Proof of Siegel's Theorem	1974	Dorian Goldfeld	1