In this paper, we re-explore in detail the techniques employed in P. A. P. Moran’s original proof for a key result in fractal geometry allowing the calculation of the Hausdorff dimension of attractors of iterated function systems constructed by similitudes.
REFERENCES
1.
P. A. P.
Moran
, “Additive functions of intervals and Hausdorff measure
,” Math. Proc. Camb. Philos. Soc.
42
(1
), 15
–23
(1946
). 2.
3.
M.
Fernández-Martínez
, “A survey on fractal dimension for fractal structures
,” Appl. Math. Nonlinear Sci.
1
(2
), 437
–472
(2016
). 4.
J.
Gani
, “Patrick Alfred Pierce Moran, 1917-1988
,” Bull. Inst. Math. Stat.
17
, 449
(1988
).5.
P. G.
Hall
, “Obituary: Patrick Alfred Pierce Moran 1917-1988
,” Biometrics
45
(2
), 687
–692
(1989
).6.
C. A. B.
Smith
, “Obituary: Pat Moran, 1917-1988
,” J. R. Stat. Soc. A
152
, 419
(1989
). 7.
C. C.
Heyde
, “Patrick Alfred Pierce Moran, 14 July 1917 - 19 September 1988
,” Biogr. Mem. Fellows R. Soc.
37
, 365
–379
(1991
). 8.
E. J.
Hannan
, “Obituary: Some memories of Pat Moran
,” J. Appl. Probab.
26
(1
), 215
–218
(1989
). © 2019 Author(s).
2019
Author(s)
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