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Fan, Ai Hua

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Author ID: fan.ai-hua Recent zbMATH articles by "Fan, Ai Hua"
Published as: Fan, Ai Hua; Fan, Ai-Hua; Fan, Ai-hua; Fan, Aihua
External Links: MGP · ResearchGate
Documents Indexed: 128 Publications since 1985, including 2 Books
Reviewing Activity: 7 Reviews
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Serials

7 Comptes Rendus de l’Académie des Sciences. Série I
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Advances in Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Monatshefte für Mathematik
4 Ergodic Theory and Dynamical Systems
4 Discrete and Continuous Dynamical Systems
3 Journal of Statistical Physics
3 Studia Mathematica
3 Annales des Sciences Mathématiques du Québec
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Pure and Applied Mathematics
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Communications in Mathematical Physics
2 Nonlinearity
2 Colloquium Mathematicum
2 Journal of the London Mathematical Society. Second Series
2 Chinese Annals of Mathematics. Series A
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Stochastic Processes and their Applications
2 Kyushu Journal of Mathematics
2 The Journal of Fourier Analysis and Applications
2 The Asian Journal of Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Gazette des Mathématiciens
1 Glasgow Mathematical Journal
1 Journal of Algebra
1 Journal of Applied Probability
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Journal of Number Theory
1 Kybernetes
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Journal of Mathematics. Wuhan University
1 Journal of Lanzhou University. Natural Sciences
1 Statistics & Probability Letters
1 Advances in Mathematics
1 Constructive Approximation
1 Revista Matemática Iberoamericana
1 Science in China. Series A
1 Bulletin des Sciences Mathématiques
1 Journal of Inequalities and Applications
1 Chinese Quarterly Journal of Mathematics
1 Chaos
1 Acta Mathematica Sinica. English Series
1 Portugaliae Mathematica. Nova Série
1 Acta Mathematica Scientia. Series B. (English Edition)
1 International Journal of Pure and Applied Mathematics
1 Analysis in Theory and Applications
1 Panoramas et Synthèses
1 Science China. Mathematics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 828 times in 477 Documents Cited by Year
Recurrence, dimension and entropy. Zbl 1011.37003
Fan, Ai-Hua; Feng, De-Jun; Wu, Jun
79
2001
On Khintchine exponents and Lyapunov exponents of continued fractions. Zbl 1158.37019
Fan, Aihua; Liao, Lingmin; Wang, Baowei; Wu, Jun
34
2009
On the lengths of basic intervals in beta expansions. Zbl 1256.11044
Fan, Ai-Hua; Wang, Baowei
33
2012
On the distribution of long-term time averages on symbolic space. Zbl 0989.82005
Fan, Ai-Hua; Feng, De-Jun
33
2000
Iterated function system and Ruelle operator. Zbl 1029.37014
Fan, Aihua; Lau, Ka-Sing
31
1999
On the dimensions of measures. Zbl 0805.28002
Fan, Aihua
30
1994
Strict ergodicity of affine \(p\)-adic dynamical systems on \(\mathbb Z_p\). Zbl 1121.37010
Fan, Ai-Hua; Li, Ming-Tian; Yao, Jia-Yan; Zhou, Dan
25
2007
\(p\)-adic repellers in \(\mathbb Q_p\) are subshifts of finite type. Zbl 1108.37016
Fan, Aihua; Liao, Lingmin; Wang, Yue Fei; Zhou, Dan
25
2007
A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation. Zbl 1347.37023
Fan, Ai-Hua; Schmeling, Jörg; Troubetzkoy, Serge
24
2013
On minimal decomposition of \(p\)-adic polynomial dynamical systems. Zbl 1269.37036
Fan, Aihua; Liao, Lingmin
21
2011
Dimension of Besicovitch-Eggleston sets in countable symbolic space. Zbl 1247.11104
Fan, Aihua; Liao, Lingmin; Ma, Jihua; Wang, Baowei
21
2010
Relationships between different dimensions of a measure. Zbl 0996.28001
Fan, Ai-Hua; Lau, Ka-Sing; Rao, Hui
21
2002
Generic points in systems of specification and Banach valued Birkhoff ergodic average. Zbl 1153.37318
Fan, Aihua; Liao, Lingmin; Peyrière, Jacques
19
2008
Multifractal analysis of infinite products. Zbl 0928.60086
Fan, Aihua
19
1997
Minimal dynamical systems on a discrete valuation domain. Zbl 1185.37014
Chabert, Jean-Luc; Fan, Ai-Hua; Fares, Youssef
17
2009
On minimal decomposition of \(p\)-adic homographic dynamical systems. Zbl 1392.37102
Fan, Aihua; Fan, Shilei; Liao, Lingmin; Wang, Yuefei
16
2014
Asymptotic behavior of multiperiodic functions \(G(x)=\prod_{n=1}^\infty g(x/2^n)\). Zbl 0908.42003
Fan, Aihua; Lau, Ka-Sing
16
1998
On the covering by small random intervals. Zbl 1037.60010
Fan, Ai-Hua; Wu, Jun
15
2004
On the frequency of partial quotients of regular continued fractions. Zbl 1205.11090
Fan, Ai-Hua; Liao, Lingmin; Ma, Ji-Hua
14
2010
On the fast Khintchine spectrum in continued fractions. Zbl 1279.11081
Fan, Aihua; Liao, Lingmin; Wang, Baowei; Wu, Jun
12
2013
Level sets of multiple ergodic averages. Zbl 1263.37041
Fan, Ai-Hua; Liao, Lingmin; Ma, Ji-Hua
12
2012
Covering numbers of different points in Dvoretzky covering. Zbl 1068.28005
Barral, Julien; Fan, Ai-Hua
12
2005
How many intervals cover a point in Dvoretzky covering? Zbl 1009.60003
Fan, Aihua
12
2002
Multifractal analysis for expanding interval maps with infinitely many branches. Zbl 1317.28013
Fan, Ai-Hua; Jordan, Thomas; Liao, Lingmin; Rams, Michał
11
2015
A proof of the Ruelle operator theorem. Zbl 0844.28008
Fan, Aihua
11
1995
Multifractal analysis of multiple ergodic averages. Zbl 1233.37005
Fan, Aihua; Schmeling, Jörg; Wu, Meng
10
2011
Arithmetic and metric properties of Oppenheim continued fraction expansions. Zbl 1210.11086
Fan, Aihua; Wang, Baowei; Wu, Jun
10
2007
On Ruelle-Perron-Frobenius operators. II: Convergence speeds. Zbl 1006.37014
Fan, Aihua; Jiang, Yunping
10
2001
On Ruelle-Perron-Frobenius operators. I: Ruelle theorem. Zbl 0987.37013
Fan, Aihua; Jiang, Yunping
10
2001
\(p\)-adic affine dynamical systems and applications. Zbl 1081.37003
Fan, Ai-Hua; Li, Ming-Tian; Yao, Jia-Yan; Zhou, Dan
9
2006
Iterated function systems with overlaps. Zbl 0984.37006
Fan, Ai-Hua; Lau, Ka-Sing; Ngai, Sze-Man
9
2000
Oscillating sequences, MMA and MMLS flows and Sarnak’s conjecture. Zbl 1396.37011
Fan, Ai-Hua; Jiang, Yunping
8
2016
On fast Birkhoff averaging. Zbl 1043.37001
Fan, Aihua; Schmeling, Jörg
8
2003
How many intervals cover a point in random dyadic covering? Zbl 1033.52004
Fan, Aihua; Kahane, J. P.
8
2001
On the stable Lévy chaos of index \(0<\alpha<1\). Zbl 0884.60040
Fan, Aihua
7
1997
Some properties of Riesz products. Zbl 0796.28003
Fan, Ai Hua
7
1993
A note on inhomogeneous Diophantine approximation with a general error function. Zbl 1113.11043
Fan, Ai-Hua; Wu, Jun
6
2006
Metric properties and exceptional sets of the Oppenheim expansions over the field of Laurent series. Zbl 1069.11033
Fan, Ai-Hua; Wu, Jun
6
2004
Regularity of Butterworth refinable functions. Zbl 1009.42021
Fan, Aihua; Sun, Qiyu
6
2001
Non-homogeneous equilibrium states and convergence speeds of averaging operators. Zbl 0959.37009
Fan, Aihua; Pollicott, Mark
6
2000
Ergodicity, unidimensionality and multifractality of self-similar measures. Zbl 0886.28005
Fan, Aihua
6
1996
Scarcity of point covering intervals in a random coverage. Zbl 0799.60013
Fan, Aihua; Kahane, Jean-Pierre
6
1993
Compact open spectral sets in \(\mathbb{Q}_p\). Zbl 1358.43011
Fan, Aihua; Fan, Shilei; Shi, Ruxi
5
2016
Spectral measures on local fields. Zbl 1353.46057
Fan, Aihua
5
2015
Minimal subsystems of affine dynamics on local fields. Zbl 1214.11134
Fan, Ai-Hua; Fares, Youssef
5
2011
Products of non-stationary random matrices and multiperiodic equations of several scaling factors. Zbl 1061.37034
Fan, Ai-Hua; Saussol, Benoît; Schmeling, Jörg
5
2004
Fully oscillating sequences and weighted multiple ergodic limit. Zbl 1379.37019
Fan, Aihua
4
2017
Minimality of \(p\)-adic rational maps with good reduction. Zbl 1391.37067
Fan, Aihua; Fan, Shilei; Liao, Lingmin; Wang, Yuefei
4
2017
Multifractal analysis of some multiple ergodic averages. Zbl 1358.37016
Fan, Ai-Hua; Schmeling, Jörg; Wu, Meng
4
2016
Some topics in the theory of multiplicative chaos. Zbl 1062.60050
Fan, Aihua
4
2004
\(\varepsilon\)-Pisot numbers in any real algebraic number field are relatively dense. Zbl 1043.11074
Fan, Ai-Hua; Schmeling, Jörg
4
2004
An approximate formula for the dimension of certain Riesz products. Zbl 0801.42004
Fan, Aihua
4
1994
Equivalence and orthogonality of random measures generated by positive homogeneous martingales. Zbl 0722.60043
Fan, Aihua
4
1991
Fuglede’s conjecture holds in \(\mathbb{Q}_p\). Zbl 1422.43014
Fan, Aihua; Fan, Shilei; Liao, Lingmin; Shi, Ruxi
3
2019
Higher dimensional Frobenius problem: maximal saturated cone, growth function and rigidity. Zbl 1343.11038
Fan, Ai-hua; Rao, Hui; Zhang, Yuan
3
2015
The multifractal spectra of V-statistics. Zbl 1268.28014
Fan, Ai-Hua; Schmeling, Jörg; Wu, Meng
3
2013
Quantitative uniform hitting in exponentially mixing systems. Zbl 1225.37006
Fan, Aihua; Langlet, Thomas; Li, Bing
3
2010
Some properties of Riesz products on the ring of \(p\)-adic integers. Zbl 1180.42005
Fan, Aihua; Zhang, Xiongying
3
2009
Some limit theorems of runs to the continuous-valued sequence. Zbl 1193.60041
Fan, Aihua; Wang, Zhongzhi; Ding, Fangqing
3
2008
Spectral theory of transfer operators. Zbl 1213.37035
Fan, Aihua; Jiang, Yunping
3
2003
Approximation orders of formal Laurent series by Oppenheim rational functions. Zbl 1016.41010
Fan, Ai-Hua; Wu, Jun
3
2003
Sur une inégalité de Littlewood-Salem. (On a Littlewood-Salem inequality). Zbl 1019.42004
Fan, Aihua; Schneider, Dominique
3
2003
On Markov-Mandelbrot martingales. Zbl 1022.60044
Fan, Aihua
3
2002
Individual behaviors of oriented walks. Zbl 1049.28005
Fan, Aihua
3
2000
Multifractal spectra of certain random Gibbs measures. Zbl 0989.60098
Fan, Aihua; Shieh, Narn-Rueih
3
2000
Multifractal analysis of some Riesz products with phases. Zbl 0865.42004
Fan, Aihua
3
1995
On the convergence of random series and the limit distribution of roots of random polynomials. Zbl 0627.60044
Fan, Aihua
3
1986
On uniformity of \(q\)-multiplicative sequences. Zbl 1458.11053
Fan, Aihua; Konieczny, Jakub
2
2019
Generic points of shift-invariant measures in the countable symbolic space. Zbl 1409.37038
Fan, Ai-Hua; Li, Ming-Tian; Ma, Ji-Hua
2
2019
Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems. Zbl 1408.37013
Fan, Aihua; Liao, Lingmin; Wu, Meng
2
2018
Everywhere divergence of one-sided ergodic Hilbert transform. Zbl 1407.37003
Fan, Aihua; Schmeling, Jörg
2
2018
Some aspects of multifractal analysis. Zbl 1371.37039
Fan, Ai-Hua
2
2014
Measures generated by multiplication. Zbl 1238.28004
Barral, Julien; Fan, Aihua; Peyrière, Jacques
2
2010
Absolute continuity of the distribution of some Markov geometric series. Zbl 1132.26323
Fan, Ai-Hua; Zhang, Jihong
2
2007
Contracting on average random IFS with repelling fixed point. Zbl 1127.28007
Fan, Aihua; Simon, Károly; Tóth, Hajnal R.
2
2006
Limsup deviations on trees. Zbl 1063.60065
Fan, Aihua
2
2004
Level sets of \(\beta\)-expansions. Zbl 1157.11311
Fan, Aihua; Zhu, Hao
2
2004
Covering of the circle driven by rotations. Zbl 1347.37018
Fan, Ai-Hua; Schmeling, Jörg
2
2003
Asymptotic behaviour of multiperiodic functions scaled by Pisot numbers. Zbl 1053.42007
Fan, Aihua
2
2002
On almost everywhere convergence of lacunary trigonometric series with respect to Riesz products. Zbl 0695.42007
Fan, Ai Hua
2
1989
Study of almost everywhere convergence of series by mean of martingale methods. Zbl 1375.37013
Cuny, Christophe; Fan, Ai Hua
1
2017
Almost everywhere convergence of ergodic series. Zbl 1378.37011
Fan, Aihua
1
2017
Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. Zbl 1308.28002
Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques
1
2010
Some strong deviation theorems for a dependent continuous random sequence. Zbl 1240.60044
Fan, Aihua
1
2010
Recurrence properties of sequences of integers. Zbl 1193.28013
Fan, Aihua; Schneider, Dominique
1
2010
Asymptotic Hausdorff dimensions of Cantor sets associated with an asymptotically nonhyperbolic family. Zbl 1083.37024
Fan, Aihua; Jiang, Yunping; Wu, Jun
1
2005
Densities of some Poisson \(\mathbf T\)-martingales and random covering numbers. Zbl 1044.60033
Barral, Julien; Fan, Aihua
1
2004
Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis. Zbl 1071.37502
Fan, Aihua; Jiang, Yunping
1
1999
Multifractal analysis of the recurrence on a symbolic space. Zbl 1040.37501
Fan, Ai-Hua; Feng, De-Jun
1
1998
Average of frequency localisation of wavelet packets. Zbl 0915.42022
Fan, Aihua
1
1998
On uniqueness of \(G\)-measures and \(g\)-measures. Zbl 0863.28008
Fan, Aihua
1
1996
On the \(L^ p\) convergence of martingales associated with coverage. Zbl 0834.60046
Fan, Aihua
1
1995
\(\alpha\)-dimensionality of ergodic self-similar measures. Zbl 0778.28004
Fan, Ai-Hua
1
1993
Uniform distribution of orbits of an endomorphism of \(\mathbb R^ d\). Zbl 0763.11034
Fan, Ai-Hua
1
1991
On some birth and death processes. Zbl 0692.60067
Fan, Aihua
1
1990
Decomposition of measures and random coverings. Zbl 0685.60015
Fan, Aihua
1
1989
On the additive and multiplicative Lévy chaos. Zbl 0683.58037
Fan, Aihua
1
1989
Fuglede’s conjecture holds in \(\mathbb{Q}_p\). Zbl 1422.43014
Fan, Aihua; Fan, Shilei; Liao, Lingmin; Shi, Ruxi
3
2019
On uniformity of \(q\)-multiplicative sequences. Zbl 1458.11053
Fan, Aihua; Konieczny, Jakub
2
2019
Generic points of shift-invariant measures in the countable symbolic space. Zbl 1409.37038
Fan, Ai-Hua; Li, Ming-Tian; Ma, Ji-Hua
2
2019
Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems. Zbl 1408.37013
Fan, Aihua; Liao, Lingmin; Wu, Meng
2
2018
Everywhere divergence of one-sided ergodic Hilbert transform. Zbl 1407.37003
Fan, Aihua; Schmeling, Jörg
2
2018
Fully oscillating sequences and weighted multiple ergodic limit. Zbl 1379.37019
Fan, Aihua
4
2017
Minimality of \(p\)-adic rational maps with good reduction. Zbl 1391.37067
Fan, Aihua; Fan, Shilei; Liao, Lingmin; Wang, Yuefei
4
2017
Study of almost everywhere convergence of series by mean of martingale methods. Zbl 1375.37013
Cuny, Christophe; Fan, Ai Hua
1
2017
Almost everywhere convergence of ergodic series. Zbl 1378.37011
Fan, Aihua
1
2017
Oscillating sequences, MMA and MMLS flows and Sarnak’s conjecture. Zbl 1396.37011
Fan, Ai-Hua; Jiang, Yunping
8
2016
Compact open spectral sets in \(\mathbb{Q}_p\). Zbl 1358.43011
Fan, Aihua; Fan, Shilei; Shi, Ruxi
5
2016
Multifractal analysis of some multiple ergodic averages. Zbl 1358.37016
Fan, Ai-Hua; Schmeling, Jörg; Wu, Meng
4
2016
Multifractal analysis for expanding interval maps with infinitely many branches. Zbl 1317.28013
Fan, Ai-Hua; Jordan, Thomas; Liao, Lingmin; Rams, Michał
11
2015
Spectral measures on local fields. Zbl 1353.46057
Fan, Aihua
5
2015
Higher dimensional Frobenius problem: maximal saturated cone, growth function and rigidity. Zbl 1343.11038
Fan, Ai-hua; Rao, Hui; Zhang, Yuan
3
2015
On minimal decomposition of \(p\)-adic homographic dynamical systems. Zbl 1392.37102
Fan, Aihua; Fan, Shilei; Liao, Lingmin; Wang, Yuefei
16
2014
Some aspects of multifractal analysis. Zbl 1371.37039
Fan, Ai-Hua
2
2014
A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation. Zbl 1347.37023
Fan, Ai-Hua; Schmeling, Jörg; Troubetzkoy, Serge
24
2013
On the fast Khintchine spectrum in continued fractions. Zbl 1279.11081
Fan, Aihua; Liao, Lingmin; Wang, Baowei; Wu, Jun
12
2013
The multifractal spectra of V-statistics. Zbl 1268.28014
Fan, Ai-Hua; Schmeling, Jörg; Wu, Meng
3
2013
On the lengths of basic intervals in beta expansions. Zbl 1256.11044
Fan, Ai-Hua; Wang, Baowei
33
2012
Level sets of multiple ergodic averages. Zbl 1263.37041
Fan, Ai-Hua; Liao, Lingmin; Ma, Ji-Hua
12
2012
On minimal decomposition of \(p\)-adic polynomial dynamical systems. Zbl 1269.37036
Fan, Aihua; Liao, Lingmin
21
2011
Multifractal analysis of multiple ergodic averages. Zbl 1233.37005
Fan, Aihua; Schmeling, Jörg; Wu, Meng
10
2011
Minimal subsystems of affine dynamics on local fields. Zbl 1214.11134
Fan, Ai-Hua; Fares, Youssef
5
2011
Dimension of Besicovitch-Eggleston sets in countable symbolic space. Zbl 1247.11104
Fan, Aihua; Liao, Lingmin; Ma, Jihua; Wang, Baowei
21
2010
On the frequency of partial quotients of regular continued fractions. Zbl 1205.11090
Fan, Ai-Hua; Liao, Lingmin; Ma, Ji-Hua
14
2010
Quantitative uniform hitting in exponentially mixing systems. Zbl 1225.37006
Fan, Aihua; Langlet, Thomas; Li, Bing
3
2010
Measures generated by multiplication. Zbl 1238.28004
Barral, Julien; Fan, Aihua; Peyrière, Jacques
2
2010
Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. Zbl 1308.28002
Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques
1
2010
Some strong deviation theorems for a dependent continuous random sequence. Zbl 1240.60044
Fan, Aihua
1
2010
Recurrence properties of sequences of integers. Zbl 1193.28013
Fan, Aihua; Schneider, Dominique
1
2010
On Khintchine exponents and Lyapunov exponents of continued fractions. Zbl 1158.37019
Fan, Aihua; Liao, Lingmin; Wang, Baowei; Wu, Jun
34
2009
Minimal dynamical systems on a discrete valuation domain. Zbl 1185.37014
Chabert, Jean-Luc; Fan, Ai-Hua; Fares, Youssef
17
2009
Some properties of Riesz products on the ring of \(p\)-adic integers. Zbl 1180.42005
Fan, Aihua; Zhang, Xiongying
3
2009
Generic points in systems of specification and Banach valued Birkhoff ergodic average. Zbl 1153.37318
Fan, Aihua; Liao, Lingmin; Peyrière, Jacques
19
2008
Some limit theorems of runs to the continuous-valued sequence. Zbl 1193.60041
Fan, Aihua; Wang, Zhongzhi; Ding, Fangqing
3
2008
Strict ergodicity of affine \(p\)-adic dynamical systems on \(\mathbb Z_p\). Zbl 1121.37010
Fan, Ai-Hua; Li, Ming-Tian; Yao, Jia-Yan; Zhou, Dan
25
2007
\(p\)-adic repellers in \(\mathbb Q_p\) are subshifts of finite type. Zbl 1108.37016
Fan, Aihua; Liao, Lingmin; Wang, Yue Fei; Zhou, Dan
25
2007
Arithmetic and metric properties of Oppenheim continued fraction expansions. Zbl 1210.11086
Fan, Aihua; Wang, Baowei; Wu, Jun
10
2007
Absolute continuity of the distribution of some Markov geometric series. Zbl 1132.26323
Fan, Ai-Hua; Zhang, Jihong
2
2007
\(p\)-adic affine dynamical systems and applications. Zbl 1081.37003
Fan, Ai-Hua; Li, Ming-Tian; Yao, Jia-Yan; Zhou, Dan
9
2006
A note on inhomogeneous Diophantine approximation with a general error function. Zbl 1113.11043
Fan, Ai-Hua; Wu, Jun
6
2006
Contracting on average random IFS with repelling fixed point. Zbl 1127.28007
Fan, Aihua; Simon, Károly; Tóth, Hajnal R.
2
2006
Covering numbers of different points in Dvoretzky covering. Zbl 1068.28005
Barral, Julien; Fan, Ai-Hua
12
2005
Asymptotic Hausdorff dimensions of Cantor sets associated with an asymptotically nonhyperbolic family. Zbl 1083.37024
Fan, Aihua; Jiang, Yunping; Wu, Jun
1
2005
On the covering by small random intervals. Zbl 1037.60010
Fan, Ai-Hua; Wu, Jun
15
2004
Metric properties and exceptional sets of the Oppenheim expansions over the field of Laurent series. Zbl 1069.11033
Fan, Ai-Hua; Wu, Jun
6
2004
Products of non-stationary random matrices and multiperiodic equations of several scaling factors. Zbl 1061.37034
Fan, Ai-Hua; Saussol, Benoît; Schmeling, Jörg
5
2004
Some topics in the theory of multiplicative chaos. Zbl 1062.60050
Fan, Aihua
4
2004
\(\varepsilon\)-Pisot numbers in any real algebraic number field are relatively dense. Zbl 1043.11074
Fan, Ai-Hua; Schmeling, Jörg
4
2004
Limsup deviations on trees. Zbl 1063.60065
Fan, Aihua
2
2004
Level sets of \(\beta\)-expansions. Zbl 1157.11311
Fan, Aihua; Zhu, Hao
2
2004
Densities of some Poisson \(\mathbf T\)-martingales and random covering numbers. Zbl 1044.60033
Barral, Julien; Fan, Aihua
1
2004
On fast Birkhoff averaging. Zbl 1043.37001
Fan, Aihua; Schmeling, Jörg
8
2003
Spectral theory of transfer operators. Zbl 1213.37035
Fan, Aihua; Jiang, Yunping
3
2003
Approximation orders of formal Laurent series by Oppenheim rational functions. Zbl 1016.41010
Fan, Ai-Hua; Wu, Jun
3
2003
Sur une inégalité de Littlewood-Salem. (On a Littlewood-Salem inequality). Zbl 1019.42004
Fan, Aihua; Schneider, Dominique
3
2003
Covering of the circle driven by rotations. Zbl 1347.37018
Fan, Ai-Hua; Schmeling, Jörg
2
2003
Relationships between different dimensions of a measure. Zbl 0996.28001
Fan, Ai-Hua; Lau, Ka-Sing; Rao, Hui
21
2002
How many intervals cover a point in Dvoretzky covering? Zbl 1009.60003
Fan, Aihua
12
2002
On Markov-Mandelbrot martingales. Zbl 1022.60044
Fan, Aihua
3
2002
Asymptotic behaviour of multiperiodic functions scaled by Pisot numbers. Zbl 1053.42007
Fan, Aihua
2
2002
Recurrence, dimension and entropy. Zbl 1011.37003
Fan, Ai-Hua; Feng, De-Jun; Wu, Jun
79
2001
On Ruelle-Perron-Frobenius operators. II: Convergence speeds. Zbl 1006.37014
Fan, Aihua; Jiang, Yunping
10
2001
On Ruelle-Perron-Frobenius operators. I: Ruelle theorem. Zbl 0987.37013
Fan, Aihua; Jiang, Yunping
10
2001
How many intervals cover a point in random dyadic covering? Zbl 1033.52004
Fan, Aihua; Kahane, J. P.
8
2001
Regularity of Butterworth refinable functions. Zbl 1009.42021
Fan, Aihua; Sun, Qiyu
6
2001
On the distribution of long-term time averages on symbolic space. Zbl 0989.82005
Fan, Ai-Hua; Feng, De-Jun
33
2000
Iterated function systems with overlaps. Zbl 0984.37006
Fan, Ai-Hua; Lau, Ka-Sing; Ngai, Sze-Man
9
2000
Non-homogeneous equilibrium states and convergence speeds of averaging operators. Zbl 0959.37009
Fan, Aihua; Pollicott, Mark
6
2000
Individual behaviors of oriented walks. Zbl 1049.28005
Fan, Aihua
3
2000
Multifractal spectra of certain random Gibbs measures. Zbl 0989.60098
Fan, Aihua; Shieh, Narn-Rueih
3
2000
Iterated function system and Ruelle operator. Zbl 1029.37014
Fan, Aihua; Lau, Ka-Sing
31
1999
Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis. Zbl 1071.37502
Fan, Aihua; Jiang, Yunping
1
1999
Asymptotic behavior of multiperiodic functions \(G(x)=\prod_{n=1}^\infty g(x/2^n)\). Zbl 0908.42003
Fan, Aihua; Lau, Ka-Sing
16
1998
Multifractal analysis of the recurrence on a symbolic space. Zbl 1040.37501
Fan, Ai-Hua; Feng, De-Jun
1
1998
Average of frequency localisation of wavelet packets. Zbl 0915.42022
Fan, Aihua
1
1998
Multifractal analysis of infinite products. Zbl 0928.60086
Fan, Aihua
19
1997
On the stable Lévy chaos of index \(0<\alpha<1\). Zbl 0884.60040
Fan, Aihua
7
1997
Ergodicity, unidimensionality and multifractality of self-similar measures. Zbl 0886.28005
Fan, Aihua
6
1996
On uniqueness of \(G\)-measures and \(g\)-measures. Zbl 0863.28008
Fan, Aihua
1
1996
A proof of the Ruelle operator theorem. Zbl 0844.28008
Fan, Aihua
11
1995
Multifractal analysis of some Riesz products with phases. Zbl 0865.42004
Fan, Aihua
3
1995
On the \(L^ p\) convergence of martingales associated with coverage. Zbl 0834.60046
Fan, Aihua
1
1995
On the dimensions of measures. Zbl 0805.28002
Fan, Aihua
30
1994
An approximate formula for the dimension of certain Riesz products. Zbl 0801.42004
Fan, Aihua
4
1994
Some properties of Riesz products. Zbl 0796.28003
Fan, Ai Hua
7
1993
Scarcity of point covering intervals in a random coverage. Zbl 0799.60013
Fan, Aihua; Kahane, Jean-Pierre
6
1993
\(\alpha\)-dimensionality of ergodic self-similar measures. Zbl 0778.28004
Fan, Ai-Hua
1
1993
Equivalence and orthogonality of random measures generated by positive homogeneous martingales. Zbl 0722.60043
Fan, Aihua
4
1991
Uniform distribution of orbits of an endomorphism of \(\mathbb R^ d\). Zbl 0763.11034
Fan, Ai-Hua
1
1991
On some birth and death processes. Zbl 0692.60067
Fan, Aihua
1
1990
On almost everywhere convergence of lacunary trigonometric series with respect to Riesz products. Zbl 0695.42007
Fan, Ai Hua
2
1989
Decomposition of measures and random coverings. Zbl 0685.60015
Fan, Aihua
1
1989
On the additive and multiplicative Lévy chaos. Zbl 0683.58037
Fan, Aihua
1
1989
On the convergence of random series and the limit distribution of roots of random polynomials. Zbl 0627.60044
Fan, Aihua
3
1986
all top 5

Cited by 464 Authors

45 Fan, Ai Hua
22 Barral, Julien
19 Liao, Lingmin
14 Wang, Baowei
13 Lau, Kasing
13 Wu, Jun
12 Feng, De-Jun
12 Mukhamedov, Farruh Maksutovich
11 Li, Jinjun
11 Rams, Michał
10 Fan, Shilei
10 Seuret, Stéphane
10 Ye, Yuanling
9 Barreira, Luis Manuel
9 Li, Bing
9 Shmerkin, Pablo S.
8 Wu, Min
7 Fang, Lulu
7 Schmeling, Jorg
7 Suomala, Ville
6 Attia, Najmeddine
6 Järvenpää, Maarit
6 Jiang, Yunping
6 Khakimov, Otabek N.
6 Ngai, Sze-Man
6 Olsen, Luke
6 Wu, Min
6 Zhang, Zhenliang
5 Bárány, Balázs
5 Cao, Chunyun
5 Hu, TianYou
5 Järvenpää, Esa
5 Persson, Tomas
5 Rhodes, Rémi
5 Valls Anglés, Cláudia
5 Vargas, Vincent
5 Wu, Meng
5 Wu, Min
5 Zhang, Xiongying
4 Bugeaud, Yann
4 Iommi, Godofredo
4 Kesseböhmer, Marc
4 Khrennikov, Andreĭ Yur’evich
4 Li, Bing
4 Lü, Meiying
4 Peres, Yuval
4 Sattarov, Iskandar A.
4 Shi, Ruxi
4 Solomyak, Boris
4 Tan, Bo
4 Tian, Xueting
4 Xu, Jian
4 Yurova, Ekaterina I.
4 Zhang, Mengjie
3 Adam, David
3 Baake, Michael
3 Ban, Jungchao
3 Bisbas, Antonis
3 Chabert, Jean-Luc
3 Durand, Arnaud
3 Ekström, Fredrik
3 Fares, Youssef
3 Gelfert, Katrin Grit
3 Hochman, Michael
3 Hu, Hui
3 Huang, Wen
3 Hussain, Mumtaz
3 Jin, Xiong
3 Jordan, Thomas M.
3 Käenmäki, Antti
3 Kim, Donghan
3 Liu, Jia
3 Ma, Guanzhong
3 Ma, Jihua
3 Mandelbrot, Benoit B.
3 Mañibo, Neil
3 Pollicott, Mark
3 Reeve, Henry W. J.
3 Rozikov, Utkir A.
3 Schindler, Tanja I.
3 Shang, Lei
3 Shen, Luming
3 Shu, Lin
3 Sun, Yu
3 Takahasi, Hiroki
3 Wang, Shuailing
3 Yao, Xiao
3 Zaïmi, Toufik Mostepha
3 Zheng, Lixuan
3 Zhou, Qinglong
2 Allen, Demi
2 Anashin, Vladimir Sergeevich
2 Baker, Simon
2 Buczolich, Zoltán
2 Chang, Yuanyang
2 Chen, Ercai
2 Chen, Haibo
2 Chen, Haibo
2 Chen, Xiaopeng
2 Chen, Yi-Chiuan
...and 364 more Authors
all top 5

Cited in 118 Serials

41 Journal of Mathematical Analysis and Applications
27 Ergodic Theory and Dynamical Systems
19 Monatshefte für Mathematik
19 Discrete and Continuous Dynamical Systems
16 Advances in Mathematics
16 Journal of Number Theory
14 Proceedings of the American Mathematical Society
12 Journal of Statistical Physics
12 Fractals
11 Communications in Mathematical Physics
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Chaos, Solitons and Fractals
10 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
9 Israel Journal of Mathematics
9 Mathematical Proceedings of the Cambridge Philosophical Society
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Dynamical Systems
8 International Journal of Number Theory
7 Transactions of the American Mathematical Society
6 The Annals of Probability
6 Mathematische Zeitschrift
6 Stochastic Processes and their Applications
6 Science China. Mathematics
5 Nonlinearity
5 Journal of Functional Analysis
5 Acta Mathematica Sinica. English Series
5 Journal of Fractal Geometry
4 Archiv der Mathematik
4 Czechoslovak Mathematical Journal
4 Statistics & Probability Letters
4 Indagationes Mathematicae. New Series
4 Applied and Computational Harmonic Analysis
4 The Journal of Fourier Analysis and Applications
3 Journal of Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Mathematika
3 Results in Mathematics
3 Revista Matemática Iberoamericana
3 Journal of Theoretical Probability
3 The Annals of Applied Probability
3 Finite Fields and their Applications
3 Bulletin des Sciences Mathématiques
3 Journal of Inequalities and Applications
3 Annals of Mathematics. Second Series
3 Analysis in Theory and Applications
2 American Mathematical Monthly
2 Bulletin of the Australian Mathematical Society
2 Journal d’Analyse Mathématique
2 Arkiv för Matematik
2 Annales de l’Institut Fourier
2 Illinois Journal of Mathematics
2 Inventiones Mathematicae
2 Journal of Differential Equations
2 Mathematische Nachrichten
2 Real Analysis Exchange
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 International Journal of Mathematics
2 Aequationes Mathematicae
2 Communications in Statistics. Theory and Methods
2 Journal of Difference Equations and Applications
2 Mathematical Physics, Analysis and Geometry
2 Chaos
2 Journal of the Australian Mathematical Society
2 Stochastics and Dynamics
2 Oberwolfach Reports
2 Actes des Rencontres du C.I.R.M.
1 Advances in Applied Probability
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Letters in Mathematical Physics
1 Lithuanian Mathematical Journal
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Fundamenta Mathematicae
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Applied Probability
1 Journal of Approximation Theory
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Tokyo Journal of Mathematics
1 Probability and Mathematical Statistics
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Science in China. Series A
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Experimental Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Journal de Théorie des Nombres de Bordeaux
1 Annales Mathématiques Blaise Pascal
1 Turkish Journal of Mathematics
1 Selecta Mathematica. New Series
1 Izvestiya: Mathematics
...and 18 more Serials
all top 5

Cited in 39 Fields

240 Measure and integration (28-XX)
238 Dynamical systems and ergodic theory (37-XX)
177 Number theory (11-XX)
100 Probability theory and stochastic processes (60-XX)
32 Harmonic analysis on Euclidean spaces (42-XX)
16 Real functions (26-XX)
16 Operator theory (47-XX)
15 General topology (54-XX)
14 Statistical mechanics, structure of matter (82-XX)
9 Combinatorics (05-XX)
9 Difference and functional equations (39-XX)
8 Abstract harmonic analysis (43-XX)
8 Functional analysis (46-XX)
6 Field theory and polynomials (12-XX)
6 Convex and discrete geometry (52-XX)
4 Commutative algebra (13-XX)
4 Functions of a complex variable (30-XX)
4 Information and communication theory, circuits (94-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Approximations and expansions (41-XX)
3 Statistics (62-XX)
3 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
2 Potential theory (31-XX)
2 Partial differential equations (35-XX)
2 Sequences, series, summability (40-XX)
2 Differential geometry (53-XX)
2 Computer science (68-XX)
2 Relativity and gravitational theory (83-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Ordinary differential equations (34-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Numerical analysis (65-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year