Publication
List (since 1995)
- Answer to an open problem proposed by R Metzler and J Klafter, J. Phys. A: Math. Gen. 39 (2006) 4911¨C4919. ( F.-Y. Ren/J.-R. Liang/W.-Y. Qiu/J.-B. Xiao)
- Scaling of Horizontal and Vertical Fixational Eye Movements, Physical Review E 71, 031909 (2005). (J.-R. Liang/Sh. Moshel/A. Z. Zivotofsky/A. Caspi/R. Engbert/R. Kliegl/Sh. Havlin)
- Phase-synchronization decay of fixational eye movements, Annals of the New York Academy of Sciences, 1039 (2005) 484-488. (Sh. Moshel/J.-R. Liang/A. Caspi/R. Engbert/R. Kliegl/Sh. Havlin/A.Z. Zivotofsky)
- Universality of stretched Gaussian asymptotic diffusion behavior on biased heterogeneous fractal structure in external force fields, Chaos, Solitons & Fractals, 24 (2005) 273-278.(F.Y. Ren/ Y. Xu/W.-Y. Qiu/J.-R. Liang)
- Stretched Gaussian Asymptotic Behavior for fractional Giona-Roman equation on biased heterogeneous fractal structure in external force fields, Nonlinear Dynamics, 38(2004) 285-294. (W.-Y. Qiu/F.-Y. Ren/Y. Xu/J.-R. Liang)
- Answer to an open problem proposed by E Barkai and J Klafter, J. Phys. A: Math. Gen., 37 (2004), 9919-9922. (F.-Y. Ren/W.-Y. Qiu/Y. Xu/J.-R. Liang/)
- Stretched Gaussian asymptotic behavior for fractional Fokker-Planck equation on fractal structure in external force fields, Chaos, Soliton and Fractals, 20(2004) 581-586. (Y. Xu/F.-Y. Ren/J.-R. Liang/W.-Y. Qiu)
- Universality of stretched Gaussian asymptotic behaviour for the fractional Fokker¨CPlanck equation in external force fields, J. Phys. A: Math. Gen., 36 (2003), 7533-7543. (F.-Y. Ren/J.-R. Liang/W.-Y. Qiu/Y. Xu)
- Integrals and derivatives on net fractals, Chaos, Solitons & Fractals, 16(1) (2003), 107-117. (F.-Y. Ren/J.-R. Liang/X.-T. Wang/W.-Y. Qiu)
- Fractional Fokker¨CPlanck equation on heterogeneous fractal structures in external force fields and its solutions, Physica A: Statistical Mechanics and its Applications, 326 (2003), 430-440. (F.-Y. Ren/J.-R. Liang/W.-Y. Qiu/Y. Xu)
- An anomalous diffusion model in an external force fields on fractals, Physics Letters A, 312 (2003), 187-197. (F.-Y. Ren/J.-R. Liang/W.-Y. Qiu/X.-T. Wang/Y. Xu/R.R. Nigmatullin)
- Random Markov-self-similar measures, Stochastic Processes and Their Applications, 98 (2002) 113-130. (J.-R. Liang)
- Determination of diffusion kernel on fractals, J. Phys A: Math. Gen., 34(2001) 9815-9825. (F.-Y. Ren/X.-T. Wang/J.-R. Liang)
- Determination of memory function and flux on fractals, Physics Letters A 288(2001) 79-87. (F.-Y. Ren/W.-Y. Qiu/J.-R. Liang/X.-T. Wang)
- A proof for French¡¯s empirical formula on option pricing, Chaos, Solitons and Fractals, 12(2001), 2441-2453. (F.-Y. Ren/X.-T. Wang/J.-R. Liang)
- Measures and their dimension spectrums for cookie-cutter sets in Rd, Acta Mathematicae Applicatae Sinica, Vol. 16(1)(2000), 9-21.(J.-R. Liang/Z.-G. Yu/F.-Y. Ren)
- The non-integer operation associated to random variation sets of the self-similar sets, Physica A, 286(2000), 45-55. (F.-Y. Ren/J.-R. Liang)
- On three open questions proposed by Falconer, Progress in Natural Science, Vol. 9 (3)(1999)180-188. (J.-R. Liang/X.-T. Wang/F.-Y. Ren)
- Multifractal decompositions of random net fractals, Chin. Ann. of Math. 20A(1)(1999), 81-90 (in Chinese), Translation in Chin. J. Contemp. Math. (English), 20(1)(1999) 51-61. (J.-R. Liang/F.-Y. Ren/X.-J. Xu)
- The determination of the diffusion kernel on fractals and fractional diffusion equation for transport phenomena in random media, Physics Letters A, 252(1999) , 141-150. (F.-Y. Ren/J.-R. Liang/X.-T Wang)
- Hausdorff dimension, mean quadratic variation of infinite self-similar measure, Bull. of the Hongkong Math. Soc., 2(1999) 347-355. (Z.-G. Yu/F.-Y. Ren/J.-R. Liang)
- Hausdorff dimensions of random net fractals,Stochastic Processes and Their Applications, 74(1998) , 235-250. (J.-R. Liang/F.-Y. Ren)
- The Fourier series expansions of functions defined on s-sets,Chin. Ann. of Math. Ser. B, 18 (2)(1997), 201-212. (J.-R. Liang/W.-S. Li/F. Su/F.-Y. Ren)
- The study of the Fourier series of functions defined on Moran fractals, Acta Mathematicae Appicatae Sinica, 13(2)(1997), 158-166. (J.-R. Liang/F.-Y. Ren)
- The Hausdorff dimension and measure of the generalized Moran fractals and Fourier series, Chinese Ann. of Math. Ser. B 16(2)(1995), 153-162. ( F.-Y. Ren/J.-R. Liang)
- The Multifractal analysis of probability measure on the generalized Moran sets, Chin. J. of Contemporary Math., 16(4)(1995), 403-414. In Chinese, Chinese Ann. Math. Ser. A, 16(5)(1995) 593-603.(H. Shen/J.-R. Liang)