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We obtain a relation between generalized Hausdorff and packing multifractal premeasures and generalized Hausdorff and packing multifractal measures. As an application, we study a general formalism for the multifractal analysis of one probability measure with respect to an other.
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참고문헌 (15)
참고문헌 신청
J. Barral / 2000 / Continuity of the multifractal spectrum of a random statistically self-similar measures / J. Theoret. Probab. 13(4):1027~1060
J. Barral / 2004 / Random multiplicative multifractal measures, Fractal Geometry and Applications / Proc. Symp. Pure Math.
L. Barreira / 2000 / Sets of non-typical points have full topological entropy and full Hausdorff dimension / Israel J. Math. 116(1):29~70
F. Ben Nasr / 2002 / The validity of the multifractal formalism: results and examples / Adv. Math. 165(2):264~284
P. Billingsley / 1965 / Ergodic Theory and Information / Wiley
J. Barral / 2004 / Random multiplicative multifractal measures, Fractal Geometry and Applications / Proc. Symp. Pure Math.
L. Barreira / 2000 / Sets of non-typical points have full topological entropy and full Hausdorff dimension / Israel J. Math. 116(1):29~70
F. Ben Nasr / 2002 / The validity of the multifractal formalism: results and examples / Adv. Math. 165(2):264~284
P. Billingsley / 1965 / Ergodic Theory and Information / Wiley
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