TY - JOUR

T1 - Lacunarity of random fractals

AU - Solis, Francisco J.

AU - Tao, Louis

N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 1997/4/21

Y1 - 1997/4/21

N2 - We discuss properties of random fractals by means of a set of numbers that characterize their universal properties. This set is the generalized singularity spectrum that consists of the usual spectrum of multifractal dimensions and the associated complex analogs. Furthermore, nonuniversal properties are recovered from the study of a series of functions which are generalizations of the so-called energy integral.

AB - We discuss properties of random fractals by means of a set of numbers that characterize their universal properties. This set is the generalized singularity spectrum that consists of the usual spectrum of multifractal dimensions and the associated complex analogs. Furthermore, nonuniversal properties are recovered from the study of a series of functions which are generalizations of the so-called energy integral.

KW - Fractals

KW - Stochastic processes

UR - http://www.scopus.com/inward/record.url?scp=0039970501&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039970501&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(97)00150-3

DO - 10.1016/S0375-9601(97)00150-3

M3 - Article

AN - SCOPUS:0039970501

VL - 228

SP - 351

EP - 356

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 6

ER -