B.B. Mandelbrot,
Fractals: Form, Chance, and Dimension
(Freeman,
San Francisco,
1977)
B.B. Mandelbrot,
J. Bus. 36, 392
(1963)
B.B. Mandelbrot,
J.R. Wallis,
Water Resour. Res. 5, 321
(1969)
B.B. Mandelbrot,
Science 156, 636
(1967)
B.B. Mandelbrot,
The Fractal Geometry of Nature
(Freeman,
San Francisco,
1982)
B.B. Mandelbrot,
Fractals and Chaos: The Mandelbrot Set and Beyond
(Springer,
New York,
2004)
E.E. Peters,
Fractal Market Analysis: Applying Chaos Theory to Investment and Economics
(John Wiley & Sons,
New York,
1994)
G. Korvin,
Fractal Models in the Earth Sciences
(Elsevier,
Amsterdam,
1992)
T. Vicsek,
Fractal Growth Phenomena, 2nd edn.
(World Scientific,
Singapore,
1992)
J. Feder,
Fractals
(Plenum Press,
New York,
1988)
K. Falconer,
Fractal Geometry: Mathematical Foundations and Applications
(John Wiley &Sons,
Chichester,
2003)
M.E.J. Newman,
Contemp. Phys. 46, 323
(2005)
G. Cantor,
Math. Ann. 21, 545
(1881)
W. Sierpiński,
C.R. Acad.
Sci. Paris 162, 629
(1916)
H.T. Hattori,
V.M. Schneider,
O. Lisboa,
J. Opt. Soc. Am. A 17, 1583
(2000)
A.K. Golmankhaneh,
D. Baleanu,
J. Mod. Opt. 63, 1364
(2016)
P.L. Krapivsky,
S. Redner,
Am. J. Phys. 72, 591
(2004)
J. Ajuirre,
R.L. Viana,
M.A.F. Sanján,
Rev. Mod. Phys. 81, 333
(2009)
M.K. Hassan,
J. Kurths,
Physica A 315, 342
(2002)
M.K. Hassan,
J. Kurths,
Phys. Rev. E 64, 016119
(2001)
M.K. Hassan,
M.Z. Hassan,
Phys. Rev. E 79, 021406
(2009)
P.L. Krapivsky,
E. Ben-Naim,
Phys. Lett. A 196, 168
(1994)
M.K. Hassan,
G.J. Rodgers,
Phys. Lett. A 208, 95
(1995)
M.K. Hassan,
G.J. Rodgers,
Phys. Lett. A 218, 207
(1996)
S. Sears,
M. Soljacic,
M. Segev,
D. Krylov,
K. Bergman,
Phys. Rev. Lett. 84, 1902
(2000)
N. Hatano,
J. Phys. Soc. Jpn. 74, 3093
(2005)
P.L. Krapivsky,
S. Redner,
Am. J. Phys. 72, 591
(2004)
K. Esaki,
M. Sato,
M. Kohmoto,
Phys. Rev. E 79, 056226
(2009)
D.S. Mahecha,
Int. J. Astrobiol. 15, 319
(2016)
M.K. Hassan,
N.I. Pavel,
R.K. Pandit,
J. Kurths,
Chaos Solitons Fractals 60, 31
(2014)
S.K. Friedlander,
Smoke, Dust and Haze
(John Wiley & Sons,
New York,
1977)
M. Thorn,
M. Seesselberg,
Phys. Rev. Lett. 72, 3622
(1994)
M.L. Broide,
R.J. Cohen,
Phys. Rev. Lett. 64, 2026
(1990)
S. Melle,
M.A. Rubio,
G.G. Fuller,
Phys. Rev. Lett. 87, 115501
(2001)
E. Ben-Naim,
P.L. Krapivsky,
J. Phys.: Condens. Matter 17, S4249
(2005)
D. Johnstone,
G. Benedek, in
Kinetics of Aggregation and Gelation, edited by
F. Family,
D.P. Landau
(North-,
Amsterdam,
1984)
J. Silk,
S.D. White,
Astrophys. J. 223, L59
(1978)
M. von Smoluchowski,
Z. Phys. Chem. 92, 215
(1917)
P.L. Krapivsky,
E. Ben-Naim,
J. Phys. A: Math. Gen. 33, 5465
(2000)
E. Ben-Naim,
P.L. Krapivsky,
J. Phys. A: Math. Gen. 33, 5477
(2000)
J. Ke,
Y. Zheng,
Z. Lin,
X. Chen,
Phys. Lett. A 368, 188
(2007)
R. Jullien,
R. Botet,
Aggregation and Fractal Aggregates
(World Scientific,
Singapore,
1987)
M.K. Hassan,
M.Z. Hassan,
N. Islam,
Phys. Rev. E 88, 042137
(2013)
M.K. Hassan,
M.Z. Hassan,
Phys. Rev. E 77, 061404
(2008)
M.K. Hassan,
M.Z. Hassan,
Phys. Rev. E 79, 021406
(2009)
S. Kwon,
Y. Kim,
Phys. Rev. E 83, 031132
(2011)
P.L. Krapivsky,
E. Ben-Naim,
Phys. Rev. E 50, 3502
(1994)
F.R. Dayeen,
M.K. Hassan,
Chaos Solitons Fractals 91, 228
(2016)
D. Boyer,
G. Tarjus,
P. Viot,
Phys. Rev. E 51, 1043
(1995)
