-
1
-
-
3342916075
-
Fractal measures and their singularities. The characterization of strange sets
-
Halsey T, Jensen M, Kadanoff L, Procaccia I and Shraiman B 1986 Fractal measures and their singularities. The characterization of strange sets Phys. Rev. A 33 1141-51
-
(1986)
Phys. Rev. A
, vol.33
, pp. 1141-1151
-
-
Halsey, T.1
Jensen, M.2
Kadanoff, L.3
Procaccia, I.4
Shraiman, B.5
-
2
-
-
0015969022
-
Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier
-
Mandelbrot B 1974 Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier J. Fluid Mech. 62 331-58
-
(1974)
J. Fluid Mech.
, vol.62
, pp. 331-358
-
-
Mandelbrot, B.1
-
4
-
-
44949288993
-
New 'anomalous' multiplicative multifractals: Left-sided f(α) and the modelling of DLA
-
Mandelbrot B 1990 New 'anomalous' multiplicative multifractals: left-sided f(α) and the modelling of DLA Physica 168A 95-111
-
(1990)
Physica
, vol.168 A
, pp. 95-111
-
-
Mandelbrot, B.1
-
5
-
-
0004572611
-
Multifractality of the harmonic measure on fractal aggregates, and extended self-similarity
-
Mandelbrot B and Evertsz C 1991 Multifractality of the harmonic measure on fractal aggregates, and extended self-similarity Physica 177A 386-93
-
(1991)
Physica
, vol.177 A
, pp. 386-393
-
-
Mandelbrot, B.1
Evertsz, C.2
-
6
-
-
0002554107
-
Multifractal measures
-
ed H O Peitgen, H Jürgens and D Saupe (Berlin: Springer)
-
Mandelbrot B 1992 Multifractal measures Chaos and Fractals, New frontiers of Science ed H O Peitgen, H Jürgens and D Saupe (Berlin: Springer)
-
(1992)
Chaos and Fractals, New Frontiers of Science
-
-
Mandelbrot, B.1
-
9
-
-
0030671587
-
Inverse measures, the inversion formula, and discontinuous multifractals
-
Mandelbrot B and Riedi R 1997 Inverse measures, the inversion formula, and discontinuous multifractals Adv. Appl. Math. 18 50-8
-
(1997)
Adv. Appl. Math.
, vol.18
, pp. 50-58
-
-
Mandelbrot, B.1
Riedi, R.2
-
10
-
-
0038850962
-
Exceptions to the multifractal formalism for discontinuous measures
-
to appear
-
Riedi R and Mandelbrot B 1997 Exceptions to the multifractal formalism for discontinuous measures Math. Proc. Cambr. Phil. Soc. to appear
-
(1997)
Math. Proc. Cambr. Phil. Soc.
-
-
Riedi, R.1
Mandelbrot, B.2
-
11
-
-
0007380679
-
The inversion formula for continuous multifractals
-
Riedi R and Mandelbrot B 1997 The inversion formula for continuous multifractals Adv. Appl. Math. 19 332-54
-
(1997)
Adv. Appl. Math.
, vol.19
, pp. 332-354
-
-
Riedi, R.1
Mandelbrot, B.2
-
12
-
-
0001102867
-
Exactly self-similar left-sided multifractal measures
-
Mandelbrot B, Evertsz C and Hayakawa Y 1990 Exactly self-similar left-sided multifractal measures Phys. Rev. A 42 4528-36
-
(1990)
Phys. Rev. A
, vol.42
, pp. 4528-4536
-
-
Mandelbrot, B.1
Evertsz, C.2
Hayakawa, Y.3
-
13
-
-
0011001058
-
Multifractal formalism for infinite multinomial measures
-
Riedi R and Mandelbrot B 1995 Multifractal formalism for infinite multinomial measures Adv. Appl. Math. 16 132-50
-
(1995)
Adv. Appl. Math.
, vol.16
, pp. 132-150
-
-
Riedi, R.1
Mandelbrot, B.2
-
14
-
-
0039786481
-
Negative dimensions and Hölders, multifractals and their Holder spectra, and the role of lateral preasymptotics in science
-
Mandelbrot B 1995 Negative dimensions and Hölders, multifractals and their Holder spectra, and the role of lateral preasymptotics in science J. Fourier Anal. Applic. (Kahane Special Issue) 410-32
-
(1995)
J. Fourier Anal. Applic. (Kahane Special Issue)
, pp. 410-432
-
-
Mandelbrot, B.1
-
15
-
-
45149136697
-
Negative fractal dimensions and multifractals
-
Mandelbrot B 1990 Negative fractal dimensions and multifractals Physica 163A 306-15
-
(1990)
Physica
, vol.163 A
, pp. 306-315
-
-
Mandelbrot, B.1
-
16
-
-
0011001056
-
A class of multinomial multifractal measures with negative (latent) values for the 'dimension' f(α)
-
ed L Pietronero (New York: Plenum)
-
Mandelbrot B 1989 A class of multinomial multifractal measures with negative (latent) values for the 'dimension' f(α) Fractals' Physical Origin and Properties ed L Pietronero (New York: Plenum) pp 3-29
-
(1989)
Fractals' Physical Origin and Properties
, pp. 3-29
-
-
Mandelbrot, B.1
-
18
-
-
0040973109
-
Finitely generated multifractals can display phase transitions
-
Huillet T and Jeannet B 1996 Finitely generated multifractals can display phase transitions J. Physique I 6 245-56
-
(1996)
J. Physique I
, vol.6
, pp. 245-256
-
-
Huillet, T.1
Jeannet, B.2
-
19
-
-
21844512374
-
On a class of "skewed" self-similar and hyperbolic fractals
-
Huillet T and Jeannet B 1994 On a class of "skewed" self-similar and hyperbolic fractals J. Math. Phys. A 35 6511-24
-
(1994)
J. Math. Phys. A
, vol.35
, pp. 6511-6524
-
-
Huillet, T.1
Jeannet, B.2
-
21
-
-
0040348747
-
A one dimensional model with phase transition
-
Mendès France M and Tenenbaum G 1993 A one dimensional model with phase transition Commun. Math. Phys. 154 603-11
-
(1993)
Commun. Math. Phys.
, vol.154
, pp. 603-611
-
-
Mendès France, M.1
Tenenbaum, G.2
-
22
-
-
0002387490
-
Random self-similar multifractals
-
Arbeiter M and Patzschke N 1996 Random self-similar multifractals Math. Nachr. 181 5-42
-
(1996)
Math. Nachr.
, vol.181
, pp. 5-42
-
-
Arbeiter, M.1
Patzschke, N.2
-
28
-
-
0007285770
-
Substitutions, branching processes and fractal sets
-
ed J Bélair and S Dubuc (Dordrecht: Kluwer)
-
Dekking F M 1991 Substitutions, branching processes and fractal sets Fractal Geometry and Analysis (NATO ASI Series 346) ed J Bélair and S Dubuc (Dordrecht: Kluwer)
-
(1991)
Fractal Geometry and Analysis (NATO ASI Series 346)
, vol.346
-
-
Dekking, F.M.1
-
29
-
-
0009278617
-
Multifractal formalism for functions
-
Jaffard S 1993 Multifractal formalism for functions CRAS 317 745-50
-
(1993)
CRAS
, vol.317
, pp. 745-750
-
-
Jaffard, S.1
-
30
-
-
33744982308
-
Vector-valued multifractal measures
-
Falconer K J and O'Neil W 1996 Vector-valued multifractal measures Proc. R. Soc. A 452 1433-57
-
(1996)
Proc. R. Soc. A
, vol.452
, pp. 1433-1457
-
-
Falconer, K.J.1
O'Neil, W.2
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