-
3
-
-
44049118235
-
Multifractal decomposition of moran fractals
-
R. Cawley and R.D. Mauldin, Multifractal decomposition of Moran fractals, Advances in Mathematics, 92 (1992), 196-236.
-
(1992)
Advances in Mathematics
, vol.92
, pp. 196-236
-
-
Cawley, R.1
Mauldin, R.D.2
-
4
-
-
0001743732
-
Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
-
C.D. Cutler, Some results on the behavior and estimation of the fractal dimensions of distributions on attractors, Journal of Statistical Physics, 62 (1991), 651-708.
-
(1991)
Journal of Statistical Physics
, vol.62
, pp. 651-708
-
-
Cutler, C.D.1
-
5
-
-
0011046907
-
Measure disintegrations with respect to σ-stable monotone indices and point-wise representation of packing dimension
-
_, Measure disintegrations with respect to σ-stable monotone indices and point-wise representation of packing dimension, Proceedings of the 1990 Measure Theory Conference at Oberwolfach, Supplemento Ai Rendiconti del Circolo Mathematico di Palermo, Ser. II, No. 28 (1992), 319-340.
-
(1992)
Proceedings of the 1990 Measure Theory Conference at Oberwolfach, Supplemento Ai Rendiconti del Circolo Mathematico di Palermo, Ser.
, vol.2
, Issue.28
, pp. 319-340
-
-
-
6
-
-
84962991716
-
Multifractal decompositions of digraph recursive fractals
-
G.A. Edgar and R.D. Mauldin, Multifractal decompositions of digraph recursive fractals, Proc. London Math. Soc., 65 (1992), 604-628.
-
(1992)
Proc. London Math. Soc.
, vol.65
, pp. 604-628
-
-
Edgar, G.A.1
Mauldin, R.D.2
-
7
-
-
84976003309
-
The hausdorff dimension of self-affine fractals
-
K.J. Falconer, The Hausdorff dimension of self-affine fractals, Math. Proc. Camb. Phil. Soc., 103 (1988), 339-350.
-
(1988)
Math. Proc. Camb. Phil. Soc.
, vol.103
, pp. 339-350
-
-
Falconer, K.J.1
-
9
-
-
84974200301
-
The dimension of self-affine fractals II
-
_, The dimension of self-affine fractals II, Math. Proc. Camb. Phil. Soc., 111 (1992), 169-179.
-
(1992)
Math. Proc. Camb. Phil. Soc.
, vol.111
, pp. 169-179
-
-
-
10
-
-
7944232130
-
The multifractal spectrum of statistically self-similar measures
-
_, The multifractal spectrum of statistically self-similar measures, Journal of Theoretical Probability, 7 (1994), 681-702.
-
(1994)
Journal of Theoretical Probability
, vol.7
, pp. 681-702
-
-
-
11
-
-
0010990456
-
An exact formula for the measure dimension associated with a class of piecewise linear maps
-
J.S. Geronimo and D. Hardin, An exact formula for the measure dimension associated with a class of piecewise linear maps, Constr. Approx., 5 (1989), 89-98.
-
(1989)
Constr. Approx.
, vol.5
, pp. 89-98
-
-
Geronimo, J.S.1
Hardin, D.2
-
12
-
-
33646981873
-
Characterization of strange attractors
-
P. Grassberger and I. Procaccia, Characterization of strange attractors, Phys. Rev. Lett., 50 (1983), 346-349.
-
(1983)
Phys. Rev. Lett.
, vol.50
, pp. 346-349
-
-
Grassberger, P.1
Procaccia, I.2
-
13
-
-
0039200450
-
A survey of the dimensions of measures
-
Warnemünde, Germany, August
-
H. Haase, A survey of the dimensions of measures, Proceedings of the conference 'Topology and Measure VI', Warnemünde, Germany, August 1991 (eds. C. Bandt, J. Flachsmeyer and H. Haase), in Mathematical Research, 66, 66-75, Topology, Measures, and Fractals, Akademie Verlag, 1992.
-
(1991)
Proceedings of the Conference 'Topology and Measure VI
, vol.6
-
-
Haase, H.1
-
14
-
-
0040384965
-
-
Topology, Measures, and Fractals, Akademie Verlag
-
H. Haase, A survey of the dimensions of measures, Proceedings of the conference 'Topology and Measure VI', Warnemünde, Germany, August 1991 (eds. C. Bandt, J. Flachsmeyer and H. Haase), in Mathematical Research, 66, 66-75, Topology, Measures, and Fractals, Akademie Verlag, 1992.
-
(1992)
Mathematical Research
, vol.66
, pp. 66-75
-
-
Bandt, C.1
Flachsmeyer, J.2
Haase, H.3
-
15
-
-
3342916075
-
Fractal measures and their singularities: The characterization of strange sets
-
T.C. Halsey, M.H. Jensen, L.P. Kadanoff, I. Procaccia and B.J. Shraiman, Fractal measures and their singularities: The characterization of strange sets, Phys. Rev. A, 33 (1986), 1141-1151.
-
(1986)
Phys. Rev. A
, vol.33
, pp. 1141-1151
-
-
Halsey, T.C.1
Jensen, M.H.2
Kadanoff, L.P.3
Procaccia, I.4
Shraiman, B.J.5
-
16
-
-
0346372923
-
The infinite number of generalized dimensions of fractals and strange attractors
-
H. Hentschel and I. Procaccia, The infinite number of generalized dimensions of fractals and strange attractors, Physica, 8D (1983), 435-444.
-
(1983)
Physica
, vol.8 D
, pp. 435-444
-
-
Hentschel, H.1
Procaccia, I.2
-
17
-
-
0001265433
-
Fractals and self-similarity
-
J. Hutchinson, Fractals and self-similarity, Indiana Univ. Math. J., 30 (1981), 713-747.
-
(1981)
Indiana Univ. Math. J.
, vol.30
, pp. 713-747
-
-
Hutchinson, J.1
-
18
-
-
0030530020
-
Measures of full dimension on affine-invariant sets
-
R. Kenyon and Y. Peres, Measures of full dimension on affine-invariant sets, Ergodic Theory and Dynamical Systems, 16 (1996), 307-323.
-
(1996)
Ergodic Theory and Dynamical Systems
, vol.16
, pp. 307-323
-
-
Kenyon, R.1
Peres, Y.2
-
19
-
-
0002782396
-
The singularity spectrum for general sierpinski carpets
-
J. King, The singularity spectrum for general Sierpinski carpets, Advances in Mathematics, 116 (1995), 1-8.
-
(1995)
Advances in Mathematics
, vol.116
, pp. 1-8
-
-
King, J.1
-
21
-
-
84972500327
-
The hausdorff dimension of general sierpinski carpets
-
C. McMullen, The Hausdorff dimension of general Sierpinski carpets, Nagoya Math. J., 96 (1984), 1-9.
-
(1984)
Nagoya Math. J.
, vol.96
, pp. 1-9
-
-
McMullen, C.1
-
22
-
-
85027614017
-
A multifractal formalism
-
L. Olsen, A multifractal formalism, Advances in Mathematics, 116 (1995), 82-196.
-
(1995)
Advances in Mathematics
, vol.116
, pp. 82-196
-
-
Olsen, L.1
-
23
-
-
0003344201
-
Random geometrically graph directed self-similar multifractals
-
Longman Scientific & Technical
-
_, Random geometrically graph directed self-similar multifractals, Pitman Research Notes in Mathematics Series, Vol. 307, Longman Scientific & Technical, 1994.
-
(1994)
Pitman Research Notes in Mathematics Series
, vol.307
-
-
-
24
-
-
84976007415
-
The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure
-
to appear
-
Y. Peres, The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure, Math. Proc. Cambridge Phil. Soc., to appear.
-
Math. Proc. Cambridge Phil. Soc.
-
-
Peres, Y.1
-
25
-
-
84976034033
-
The packing measure of self-affine carpets
-
_, The packing measure of self-affine carpets, Math. Proc. Cambridge Phil. Soc., 115 (1994), 437-450.
-
(1994)
Math. Proc. Cambridge Phil. Soc.
, vol.115
, pp. 437-450
-
-
-
26
-
-
0039792757
-
Generalized spectrum for the dimension: The approach based on carathéodory's construction
-
World Sci. Publishing, Teaneck
-
Ya. Pesin, Generalized spectrum for the dimension: The approach based on Carathéodory's construction, in 'Constantin Carathéodory: An international tribute', World Sci. Publishing, Teaneck, (1991), 1108-1119.
-
(1991)
Constantin Carathéodory: An International Tribute
, pp. 1108-1119
-
-
Pesin, Ya.1
-
27
-
-
21144463609
-
On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions
-
_, On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions, Journal of Statistical Physics, 71 (1993), 529-547.
-
(1993)
Journal of Statistical Physics
, vol.71
, pp. 529-547
-
-
-
33
-
-
0000493711
-
Self-similar measures and their fourier transforms III
-
R.S. Strichartz, Self-similar measures and their Fourier transforms III, Indiana Univ. Math. J., 42 (1992), 367-411.
-
(1992)
Indiana Univ. Math. J.
, vol.42
, pp. 367-411
-
-
Strichartz, R.S.1
-
34
-
-
84966224394
-
Packing measure, and its evaluation for a brownian path
-
S.J. Taylor and C. Tricot, Packing measure, and its evaluation for a Brownian path, Trans. Amer. Math. Soc., 288 (1985), 679-699.
-
(1985)
Trans. Amer. Math. Soc.
, vol.288
, pp. 679-699
-
-
Taylor, S.J.1
Tricot, C.2
-
35
-
-
84971877468
-
Two definitions of fractional dimension
-
C. Tricot, Two definitions of fractional dimension, Math. Proc. Camb. Phil. Soc., 91 (1982), 57-74.
-
(1982)
Math. Proc. Camb. Phil. Soc.
, vol.91
, pp. 57-74
-
-
Tricot, C.1
-
36
-
-
84956256298
-
Dimension, entropy and Lyapunov exponents
-
L.-S. Young, Dimension, entropy and Lyapunov exponents, Ergod. Th. & Dynam. Sys., 2 (1982), 109-124.
-
(1982)
Ergod. Th. & Dynam. Sys.
, vol.2
, pp. 109-124
-
-
Young, L.-S.1
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