梁金荣
数学科学学院??????


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开授课程
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个人资料
部门： 数学科学学院
毕业院校：
学位：
学历：
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电子邮箱： jrliang@math.ecnu.edu.cn
办公地址： 闵行校区数学楼324室
通讯地址： 上海市东川路500号华东师范大学数学系，邮编：200241

教育经历

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个人简介

社会兼职


研究方向
分形几何及其应用

开授课程


科研项目


学术成果

[1] The Hausdorff dimension and measure of the generalized Moran fractals and Fourier series (with F.-Y. Ren)‚ Chin. Ann. of Math. B 16(2) (1995)‚ 153-162.
[2] The multifractal analysis of probability measure on the generalized Moran sets (with H. Shen)‚ Chin. J. of Contemporary Math. 16(4) (1995)‚ 403-414.
[3] The Fourier series expansions of functions defined on s-sets (with W.-Sh Li‚ F. Su and F.-Y Ren)‚ Chin. Ann. of Math. (B) 18 (2) (1997)‚ 201-212.
[4] The study of the Fourier series of functions defined on Moran fractals (with F.-Y Ren)‚ Acta Mathematicae Appicatae Sinica‚ 13(2) (1997)‚ 158-166.
[5] Hausdorff dimensions of random net fractals (with F.-Y Ren)‚ Stochastic Processes and Their Applications‚ 74 (1998) ‚ 235-250.
[6] On three open questions proposed by Falconer (with X.-T Wang‚ F.-Y Ren)‚ Progress in Natural Science‚ Vol. 9 (3) (1999) 180-188.
[7] Multifractal decompositions of random net fractals (with F.-Y Ren and X.-J Xu)‚ Chin.Ann. of Math. 20A(1) (1999)‚ 81-90.
[8] The determination of the diffusion kernel on fractals and fractional diffusion equation for transport phenomena in random media (with F.-Y Ren and X.-T Wang)‚ Physics Letters A 252 (1999)‚ 141-150.
[9] Hausdorff dimension‚ mean quadratic variation of infinite self-similar measure (with Z.-G Yu and F.-Y Ren)‚ Bull. of the Hongkong Math. Soc.2 (1999) 347-355.
[10] Measures and their dimension spectrums for cookie-cutter sets in Rd (with Z.-G Yu and F.-Y Ren)‚ Acta Mathematicae Applicatae Sinica‚ Vol. 16(1) (2000)‚ 9-21.
[11] The non-integer operation associated to random variation sets of the self-similar sets (with F.-Y Ren)‚ Physica A 286 (2000)‚ 45-55.
[12] Determination of diffusion kernel on fractals (with F.-Y Ren and X.-T Wang)‚ J. Phys A: Math. Gen. 34 (2001) 9815-9825.
[13] Determination of memory function and flux on fractals (with F.-Y Ren‚ W.-Y. Qiu‚ and X.-T Wang)‚ Physics Letters A 288 (2001) 79-87.
[14] A proof for French´s empirical formula on option pricing (F.-Y Ren and X.-T Wang)‚ Chaos‚ Solitons and Fractals 12 (2001)‚ 2441-2453.
[15] Random Markov-self-similar measures‚ Stochastic Processes and Their Applications‚ 98 (2002) 113-130.
[16] Universality of stretched Gaussian asymptotic behaviour for the fractional Fokker-Planck equation in external force fields (with F.-Y. Ren‚ W.-Y. Qiu and Y. Xu)‚ J. Phys. A: Math. Gen. 36 (2003)‚ 7533-7543.
[17] Integrals and derivatives on net fractals (with F.-Y. Ren‚ X.-T Wang and W.-Y. Qiu)‚ Chaos‚ Solitons & Fractals‚ 16(1) (2003)‚ 107-117.
[18] Fractional Fokker-Planck equation on heterogeneous fractal structures in external force fields and its solutions (with F.-Y. Ren‚ W.-Y. Qiu and Y. Xu)‚ Physica A: Statistical Mechanics and its Applications‚ 326 (2003)‚ 430-440.
[19] An anomalous diffusion model in an external force fields on fractals (with F.-Y. Ren‚ W.-Y. Qiu‚ X.-T. Wang‚ Y. Xu and R. R. Nigmatullin)‚ Physics Letters A‚ 312 (2003)‚ 187-197.
[20] Stretched Gaussian asymptotic behavior for fractional Fokker-Planck equation on fractal structure in external force fields (with Y. Xu‚ F.-Y. Ren and W.-Y. Qiu)‚ Chaos‚ Soliton and Fractals‚ 20 (2004) 591-506.
[21] Answer to an open problem proposed by E Barkai (with F.-Y. Ren‚ W.-Y. Qiu and Y. Xu)‚ J. Phys. A: Math. Gen. 37 (2004) 9919-9922.
[22] Stretched Gaussian Asymptotic Behavior for Fractional Giona-Roman Equation on Biased Heterogeneous Fractal Structure in External Force Fields(with F.-Y. Ren‚ W.-Y. Qiu and Y. Xu)‚Nonlinear Dynamics 38: 285-294‚ (2004).
[23] Scaling of Horizontal and Vertical Fixational Eye Movements (with Sh. Moshel‚ Ari Z. Zivotofsky‚ Avi Caspi‚ R. Engbert‚ R. Kliegl and Sh. Havlin)‚ Physical Review E‚ 71 (2005) 031909.
[24] Phase synchronization decay of fixational eye movements (with Sh. Moshel‚ Ari Z. Zivotofsky‚ R. Engbert‚ R. Kliegl and Sh. Havlin)‚Annals of the New York Academy of Sciences‚ 1039 (2005) 484-488.
[25] Universality of stretched Gaussian asymptotic diffusion behavior on biased heterogeneous fractal structure in external force fields (with F.-Y. Ren‚ Y. Xu and W.-Y. Qiu)‚ Chaos‚ Solitons & Fractals‚ 24 (2005) 273-278.
[26] Answer to an open problem proposed by R Metzler and J Klafter (with F.-Y. Ren‚ W.-Y. Qiu‚ J.-B. Xiao)‚ J. Phys. A: Math. Gen. 39 (2006) 4911-4919.
[27] Asymptotic behavior of a fractional Fokker-Planck-type equation (with F.-Y. Ren‚ W.-Y. Qiua and J.-B. Xiao)‚ Physica A 373 (2007) 165-173.
[28] Exact solutions for nonlinear fractional anomalous diffusion equations (with F.-Y. Ren‚ W.-Y. Qiu and J.-B Xiao)‚ Physica A 385 (2007) 80-94.
[29] Fractional nonlinear diffusion equation and first passage time (with J. Wang‚ W.-J. Zhang‚ J.-B Xiao and F.-Y. Ren)‚ Physica A‚ 387 (2008) 764-772.
[30] Solutions of fractional nonlinear diffusion equation and first passage time: influence of initial condition and diffusion coefficient (with J. Wang‚ W-J. Zhang‚ P. Zhang and F.-Y. Ren)‚ Physica A‚ 387 (2008)‚ 4547-4552.


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