Langevin equation with multiplicative white noise: Transformation of diffusion processes into the Wiener process in different prescriptions

[1]  L. Richardson,et al.  Atmospheric Diffusion Shown on a Distance-Neighbour Graph , 1926 .

[2]  G. Batchelor.  Diffusion in a field of homogeneous turbulence , 1952, Mathematical Proceedings of the Cambridge Philosophical Society.

[3]  Luigi M. Ricciardi.  On the transformation of diffusion processes into the Wiener process , 1976 .

[4]  Peter Hänggi,et al.  Stochastic processes: Time evolution, symmetries and linear response , 1982 .

[5]  C. Gardiner.  Handbook of Stochastic Methods , 1983 .

[6]  H. G. E. Hentschel,et al.  Relative diffusion in turbulent media: The fractal dimension of clouds , 1984 .

[7]  H. Risken.  Fokker-Planck Equation , 1984 .

[8]  Lambert,et al.  Relaxation near a noise-induced transition point. , 1989, Physical review. A, General physics.

[9]  Y. Gliklikh.  The Langevin Equation , 1997 .

[10]  J. Klafter,et al.  The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .

[11]  J. Klafter,et al.  The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics , 2004 .

[12]  K. S. Fa.  Exact solution of the Fokker-Planck equation for a broad class of diffusion coefficients. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Seiichi Sakanoue,et al.  Extended logistic model for growth of single-species populations , 2007 .

[14]  A. Vulpiani,et al.  Fluctuation-dissipation: Response theory in statistical physics , 2008, 0803.0719.

[15]  K. S. Fa,et al.  Integrodifferential diffusion equation for continuous-time random walk. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  G. Aquino,et al.  An exact analytical solution for generalized growth models driven by a Markovian dichotomic noise , 2010, 1003.0792.

[17]  V. Giorno,et al.  Inferring the effect of therapy on tumors showing stochastic Gompertzian growth. , 2011, Journal of theoretical biology.