Qing-Long Zhou

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All published works

Action	Title	Year	Authors
+ PDF Chat	Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$	2024	Bo Tan Qing-Long Zhou
+	Uniform Diophantine approximation and run-length function in continued fractions	2024	Bo Tan Qing-Long Zhou
+ PDF Chat	Non-Salem sets in multiplicative Diophantine approximation	2024	Bo Tan Qing-Long Zhou
+ PDF Chat	Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers	2024	Bo Tan Qing-Long Zhou
+	Exceptional sets related to the product of consecutive digits in L\"{u}roth expansions	2024	Jinfeng Wang Qing-Long Zhou
+	Metrical properties of the large products of partial quotients in continued fractions	2024	Bo Tan Qing-Long Zhou
+	ON THE SHORTEST DISTANCE FUNCTION IN CONTINUED FRACTIONS	2023	Saisai Shi Qing-Long Zhou
+	Uniform Diophantine approximation and run-length function in continued fractions	2023	Bo Tan Qing-Long Zhou
+	Metrical properties for the large partial quotients with product forms in continued fractions	2023	Bo Tan Qing-Long Zhou
+	Dimension of exceptional sets arising by the longest block function in Lüroth expansions	2022	Qing-Long Zhou
+	On the Distribution of the Digits in Lüroth Expansions	2022	Qing-Long Zhou
+	On the intersections of localized Jarník sets and localized uniformly Jarník sets in continued fractions	2021	Qing-Long Zhou Teng Song
+	First-order and second-order necessary optimality conditions concerning components for discrete-time stochastic systems	2021	Teng Song Bin Liu Qing-Long Zhou
+	EXACT DIMENSIONS OF EXCEPTIONAL SETS IN LÜROTH EXPANSIONS	2021	Yan Feng Bo Tan Qing-Long Zhou
+ PDF Chat	Best approximation of orbits in iterated function systems	2021	Saisai Shi Bo Tan Qing-Long Zhou
+	Approximation properties of Lüroth expansions	2020	Bo Tan Qing-Long Zhou
+	Dimension theory of the product of partial quotients in Lüroth expansions	2020	Bo Tan Qing-Long Zhou
+	ON THE LONGEST BLOCK FUNCTION IN CONTINUED FRACTIONS	2020	Teng Song Qing-Long Zhou
+	The relative growth rate for partial quotients in continued fractions	2019	Bo Tan Qing-Long Zhou
+	Dimensions of recurrent sets in β-symbolic dynamics	2018	Qing-Long Zhou

Common Coauthors

Coauthor	Papers Together
Bo Tan	9
Saisai Shi	2
Bo Tan	2
Teng Song	2
Yan Feng	1
Teng Song	1
Bin Liu	1
Bo Tan	1
Jinfeng Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The relative growth rate for partial quotients in continued fractions	2019	Bo Tan Qing-Long Zhou	7
+	The fractional dimensional theory of continued fractions	1941	I. J. Good	6
+	Hausdorff dimension of certain sets arising in continued fraction expansions	2008	Baowei Wang Jun Wu	5
+ PDF Chat	On approximation by Lüroth series	1996	Karma Dajani Cor Kraaikamp	5
+ PDF Chat	Ergodic properties of generalized Lüroth series	1996	José A. Barrionuevo Robert Burton Karma Dajani Cor Kraaikamp	5
+	Quantitative Poincaré recurrence in continued fraction dynamical system	2011	Peng Li Bo Tan BaoWei Wang	5
+ PDF Chat	Representations of Real Numbers by Infinite Series	1976	János Galambos	5
+	Frequency of digits in the Lüroth expansion	2008	Luís Barreira Godofredo Iommi	5
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	5
+ PDF Chat	Ueber eine eindeutige Entwickelung von Zahlen in eine unendliche Reihe	1883	J. Lüroth	5
+	Dimension theory of the product of partial quotients in Lüroth expansions	2020	Bo Tan Qing-Long Zhou	4
+ PDF Chat	Some metrical theorems in number theory	1967	Walter Philipp	4
+ PDF Chat	Dimensions and Measures in Infinite Iterated Function Systems	1996	R. Daniel Mauldin Mariusz Urbański	4
+ PDF Chat	HAUSDORFF MEASURE OF SETS OF DIRICHLET NON‐IMPROVABLE NUMBERS	2018	Mumtaz Hussain Dmitry Kleinbock Nick Wadleigh Baowei Wang	4
+	A generalization of the Jarník–Besicovitch theorem by continued fractions	2015	Baowei Wang Jun Wu Jian Xu	4
+ PDF Chat	The efficiency of approximating real numbers by Lüroth expansion	2013	Chun-Yun Cao Jun Wu Zhenliang Zhang	4
+	Dimension of Besicovitch–Eggleston sets in countable symbolic space	2010	Aihua Fan Lingmin Liao Jihua Ma Baowei Wang	3
+	ON THE LONGEST BLOCK FUNCTION IN CONTINUED FRACTIONS	2020	Teng Song Qing-Long Zhou	3
+	Continued fractions	1963	Aleksandr I︠A︡kovlevich Khinchin	3
+ PDF Chat	Zur Theorie der diophantischen Approximationen	1932	Vojtěch Jarník	3
+	A dimensional result in continued fractions	2013	Yu Sun Jun Wu	3
+ PDF Chat	Distribution of full cylinders and the Diophantine properties of the orbits in $\beta$-expansions	2014	Yann Bugeaud Baowei Wang	3
+	Sets of exact approximation order by rational numbers	2003	Yann Bugeaud	3
+	On the Lebesgue measure of sum-level sets for Lüroth expansion	2010	Sikui Wang Jian Xu	3
+	Quantitative recurrence properties for beta-dynamical system	2011	Bo Tan Baowei Wang	3
+	The shrinking target problem in the dynamical system of continued fractions	2013	Bing Li Baowei Wang Jun Wu Jian Xu	3
+	Approximation properties of Lüroth expansions	2020	Bo Tan Qing-Long Zhou	3
+	On a new law of large numbers	1970	Paul Erdős A. Rényi	3
+ PDF Chat	Average frequencies of digits in infinite IFS’s and applications to continued fractions and Lüroth expansions	2020	L. Olsen Matthew A. West	2
+ PDF Chat	Conformal iterated function systems with applications to the geometry of continued fractions	1999	R. Daniel Mauldin Mariusz Urbański	2
+	The sets of Dirichlet non-improvable numbers versus well-approximable numbers	2019	Ayreena Bakhtawar Philip J. Bos Mumtaz Hussain	2
+ PDF Chat	On the fast Khintchine spectrum in continued fractions	2013	Aihua Fan Lingmin Liao Baowei Wang Jun Wu	2
+	None	2002	Pawel Hanus R. Daniel Mauldin Mariusz Urbański	2
+	A zero-one law for improvements to Dirichlet’s Theorem	2017	Dmitry Kleinbock Nick Wadleigh	2
+	A localized Jarník–Besicovitch theorem	2010	Julien Barral Stéphane Seuret	2
+ PDF Chat	Hausdorff dimension of an exceptional set in the theory of continued fractions	2020	Ayreena Bakhtawar Philip J. Bos Mumtaz Hussain	2
+	A remark on exceptional sets in Erdös-Rényi limit theorem	2016	Yu Sun Jian Xu	2
+ PDF Chat	On Khintchine exponents and Lyapunov exponents of continued fractions	2008	Aihua Fan Lingmin Liao Baowei Wang Jun Wu	2
+	Slow increasing functions and the largest partial quotients in continued fraction expansions	2016	Chang Jin-hua Haibo Chen	2
+ PDF Chat	The fractional dimensional theory in Lüroth expansion	2011	Luming Shen Kui Fang	2
+ PDF Chat	A localized uniformly Jarník set in continued fractions	2015	Yuanhong Chen Yu Sun Xiaojun Zhao	2
+	Dimensions of recurrent sets in β-symbolic dynamics	2018	Qing-Long Zhou	2
+	Egoroff’s theorem and maximal run length	2007	Jihua Ma Shengyou Wen Zhi‐Ying Wen	2
+ PDF Chat	A Mass Transference Principle and the Duffin–Schaeffer conjecture for Hausdorff measures	2006	Victor Beresnevich Sanju Velani	2
+	Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers	1934	A. S. Besicovitch	2
+ PDF Chat	The Rényi entropy function and the large deviation of short return times	2009	Nicolai Haydn Sandro Vaienti	2
+	On the maximal length of consecutive zero digits of β-expansions	2015	Xin Tong Yueli Yu Yan Zha	2
+	Ergodic Theory of Fibred Systems and Metric Number Theory	1995	Fritz Schweiger	2
+	Lüroth series and their ergodic properties	1969	H. Jager C. de Vroedt	2
+	The ergodic theory of shrinking targets	1995	Richard Hill Sanju Velani	2