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- Ai-Hua Fan
- 2006

In general it is difficult to study the multifractal structure of a self-similar measure when the associated iterated function system does not satisfy the open set condition. In this paper we willâ€¦ (More)

- Ai-Hua Fan, L B Liao, Bao-Wei Wang, Jun Wu
- 2017

Assume that x âˆˆ [0, 1) admits its continued fraction expansion x = [a1(x), a2(x), Â· Â· Â· ]. The Khintchine exponent Î³(x) of x is defined by Î³(x) := lim nâ†’âˆž 1 n âˆ‘n j=1 log aj(x) when the limit exists.â€¦ (More)

- Ai-Hua Fan, Ka-Sing Lau, Hui Rao
- 2000

We establish various relationships of the Hausdorff dimension, entropy dimension and L p-dimension of a measure without assuming that the local dimension of exists-a.e. These extend a well knownâ€¦ (More)

- Ai-Hua Fan, Jun Wu
- 2004

Consider the random intervals In = Ï‰n+ (0, n) (modulo 1) with their left pointsÏ‰n independently and uniformly distribute over the interval [0,1)= R/Z and with their lengths decreasing to zero. Weâ€¦ (More)

- Ai-Hua Fan, L B Liao, Bao-Wei Wang, Wu yan Jun
- 2008

Assume that x âˆˆ [0, 1) admits its continued fraction expansion x = [a1(x), a2(x), Â· Â· Â· ]. The Khintchine exponent Î³(x) of x is defined by Î³(x) := lim nâ†’âˆž 1 n Pn j=1 log aj(x) when the limit exists.â€¦ (More)

- Ai-Hua Fan, L B Liao
- 2009

We consider sets of real numbers in [0, 1) with prescribed frequencies of partial quotients in their regular continued fraction expansions. It is shown that the Hausdorff dimensions of these sets,â€¦ (More)

- Ai-Hua Fan, BenÃ´Ä±t Saussol, JÃ¶rg Schmeling
- 2004

Let Î² > 1 be a real number and M : R â†’ GL(C) be a uniformly almost periodic matrix-valued function. We study the asymptotic behavior of the product Pn(x) = M(Î²nâˆ’1x) . . . M(Î²x)M(x). Under someâ€¦ (More)

Let Î¼ be a Gibbs measure of the doubling map T of the circle. For a Î¼-generic point x and a given sequence {rn} âŠ‚ R, consider the intervals (T x âˆ’ rn (mod 1), T x + rn (mod 1)). In analogy to theâ€¦ (More)

In this Note, we study the multiple ergodic averages of a locally constant real-valued function in linear Cookie-Cutter dynamical systems. The multifractal spectrum of these multiple ergodic averagesâ€¦ (More)

- Ai-Hua Fan, Chun-hua Bian, Xin-bao Ning, Ai-jun He, Jian-Jun Zhuang, X. Wu
- Zhongguo yi liao qi xie za zhi = Chinese journalâ€¦
- 2008

This paper presents a novel monitor which uses ARM controller AT91SAM7S64 as its main processor, LCM (Liquid Crystal Display Module) for displaying ECG waves, SD (Secure Digital memory) card for dataâ€¦ (More)