Xiaoyan Tan

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All published works

Action	Title	Year	Authors
+ PDF Chat	THE MULTIFRACTAL SPECTRUM OF CONTINUED FRACTIONS WITH NONDECREASING PARTIAL QUOTIENTS	2024	Kunkun Song Xiaoyan Tan Zhenliang Zhang
+	The convergence exponent and the well approximated sets for Lüroth expansion	2024	Zhenliang Zhang Xu Liao Xiaoyan Tan
+	Irrationality exponent and convergence exponent in continued fraction expansions	2024	Kunkun Song Xiaoyan Tan Zhenliang Zhang
+	Relative convergence speed of Lüroth expansions and Hausdorff dimension	2021	Xiaoyan Tan Jia Liu Zhenliang Zhang
+	THE RELATIVE CONVERGENCE SPEED FOR ENGEL EXPANSIONS AND HAUSDORFF DIMENSION	2021	Zhenliang Zhang Xiaoyan Tan
+ PDF Chat	The relative growth rate for the digits in Lüroth expansions	2020	Xiaoyan Tan Zhenliang Zhang
+	A NOTE ON THE RELATIVE GROWTH RATE OF THE MAXIMAL DIGITS IN LÜROTH EXPANSIONS	2020	Xiaoyan Tan Kangjie He

Common Coauthors

Coauthor	Papers Together
Zhenliang Zhang	6
Kunkun Song	2
Kangjie He	1
Jia Liu	1
Xu Liao	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Representations of Real Numbers by Infinite Series	1976	János Galambos	5
+ PDF Chat	The efficiency of approximating real numbers by Lüroth expansion	2013	Chun-Yun Cao Jun Wu Zhenliang Zhang	4
+ PDF Chat	Ueber eine eindeutige Entwickelung von Zahlen in eine unendliche Reihe	1883	J. Lüroth	4
+ PDF Chat	The fractional dimensional theory in Lüroth expansion	2011	Luming Shen Kui Fang	4
+	Frequency of digits in the Lüroth expansion	2008	Luís Barreira Godofredo Iommi	3
+	A note on the largest digits in Lüroth expansion	2013	Luming Shen Yiying Yu Yuxin Zhou	3
+	A dimensional result in continued fractions	2013	Yu Sun Jun Wu	3
+	The relative growth rate for partial quotients in continued fractions	2019	Bo Tan Qing-Long Zhou	3
+	Level sets of partial maximal digits for Lüroth expansion	2017	Kunkun Song Lulu Fang Jihua Ma	3
+ PDF Chat	Multifractal Analysis of the Convergence Exponent in Continued Fractions	2021	Lulu Fang Jihua Ma Kunkun Song Min Wu	3
+ PDF Chat	On the fast Khintchine spectrum in continued fractions	2013	Aihua Fan Lingmin Liao Baowei Wang Jun Wu	2
+	Irrationality exponent and convergence exponent in continued fraction expansions	2024	Kunkun Song Xiaoyan Tan Zhenliang Zhang	2
+	Multifractal analysis of the Brjuno function	2017	Stéphane Jaffard Bruno Martin	2
+ PDF Chat	On Khintchine exponents and Lyapunov exponents of continued fractions	2008	Aihua Fan Lingmin Liao Baowei Wang Jun Wu	2
+	Multifractal Analysis of Lyapunov Exponent for Continued Fraction and Manneville-Pomeau Transformations and Applications to Diophantine Approximation	1999	Mark Pollicott Howard M. Weiss	2
+	THE GROWTH RATE OF THE DIGITS IN THE LÜROTH EXPANSIONS	2020	Meiying Lü	2
+	A NOTE ON THE RELATIVE GROWTH RATE OF THE MAXIMAL DIGITS IN LÜROTH EXPANSIONS	2020	Xiaoyan Tan Kangjie He	2
+	Einige S�tze �ber Kettenbr�che, mit Anwendungen auf die Theorie der Diophantischen Approximationen	1924	A. Khintchine	2
+ PDF Chat	Sets of exact approximation order by rational numbers III	2010	Yann Bugeaud Carlos Gustavo Moreira	2
+	Fractal analysis for sets of non-differentiability of Minkowski's question mark function	2008	Marc Keßeböhmer Bernd O. Stratmann	2
+	Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers	1934	A. S. Besicovitch	2
+ PDF Chat	Big Birkhoff sums in $d$-decaying Gauss like iterated function systems	2021	Lingmin Liao Michał Rams	2
+	On the longest block in Lüroth expansion	2017	Jinjun Li Min Wu Xiangfeng Yang	2
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	2
+	The relative growth rate of the largest digit in continued fraction expansions	2016	Zhenliang Zhang	1
+	A generalization of the Jarník–Besicovitch theorem by continued fractions	2015	Baowei Wang Jun Wu Jian Xu	1
+	ABOUT THE MULTIFRACTAL NATURE OF CANTOR’S BIJECTION: BOUNDS FOR THE HÖLDER EXPONENT AT ALMOST EVERY IRRATIONAL POINT	2016	Samuel Nicolay Laurent Simons	1
+ PDF Chat	Ergodic properties of generalized Lüroth series	1996	José A. Barrionuevo Robert Burton Karma Dajani Cor Kraaikamp	1
+	Hausdorff dimensions of some exceptional sets in Engel expansions	2017	Meiying Lü Jia Liu	1
+ PDF Chat	On the irrationality measure of the Thue–Morse constant	2018	Dzmitry Badziahin Evgeniy Zorin	1
+	Hausdorff dimension of certain sets arising in Engel expansions	2018	Lulu Fang Min Wu	1
+ PDF Chat	Metric Diophantine approximation on the middle-third Cantor set	2016	Yann Bugeaud Arnaud Durand	1
+ PDF Chat	Thue–Morse Constant is Not Badly Approximable	2014	Dzmitry Badziahin Evgeniy Zorin	1
+ PDF Chat	On the spectrum of irrationality exponents of Mahler numbers	2019	Dzmitry Badziahin	1
+	The relative growth rate for partial quotients	2007	Andrew Haas	1
+	ON SOME EXCEPTIONAL SETS IN ENGEL EXPANSIONS AND HAUSDORFF DIMENSIONS	2020	Jia Liu	1
+ PDF Chat	The relative growth rate for the digits in Lüroth expansions	2020	Xiaoyan Tan Zhenliang Zhang	1
+	Dimension theory of the product of partial quotients in Lüroth expansions	2020	Bo Tan Qing-Long Zhou	1
+ PDF Chat	Diophantine approximation of Mahler numbers	2015	Jason P. Bell Yann Bugeaud Michael James Coons	1
+	Hankel Determinants, Padé Approximations, and Irrationality Exponents	2015	Yann Bugeaud Guo-Niu Han Zhi-Ying Wen Jia-Yan Yao	1
+	Approximation properties of Lüroth expansions	2020	Bo Tan Qing-Long Zhou	1
+	Relative convergence speed of Lüroth expansions and Hausdorff dimension	2021	Xiaoyan Tan Jia Liu Zhenliang Zhang	1
+	The growth speed for the product of consecutive digits in Lüroth expansions	2022	Qinglong Zhou	1
+	Metric Diophantine Approximation on Manifolds	1999	В. И. Берник M. M. Dodson	1
+ PDF Chat	Chaotic sets and Hausdorff dimension for Lüroth expansions	2022	Rafael Alcaraz Barrera Gerardo González Robert	1
+	Ergodic Theory of Numbers	2002	Karma Dajani Cor Kraaikamp	1
+ PDF Chat	Dimensions of certain sets of continued fractions with non-decreasing partial quotients	2022	Lulu Fang Jihua Ma Kunkun Song Min Wu	1
+	Approximation by Algebraic Numbers	2004	Yann Bugeaud	1
+	�ber die simultanen diophantischen Approximationen	1931	Vojt ch Jarn�k	1
+ PDF Chat	A problem of Galambos on Engel expansions	2000	Jun Wu	1