HAUSDORFF_DIMENSION

作品数：158被引量：118H指数：5
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相关机构：辽宁工业大学东北财经大学浙江大学武汉大学更多>>
相关期刊：《Journal of Partial Differential Equations》《Applied Mathematics》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》更多>>
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Hausdorff dimension of chaotic sets of interval self-maps
《Chinese Science Bulletin》1996年第21期1761-1764,共4页顾荣宝 
Project supported by the Youth Science Foundation of Anhui University.
Let I be the interval [0,1].We denote by (I) the space of all continuous mapsfrom I into itself with the C^0 topology,i.e.the topology induced by the metric ρ(f,g) =sup{|f(x)-g(x)||x∈I}. Let f∈(I).A subset C of I i...
关键词：INTERVAL self-map CHAOTIC SET HausdorfT dimension. 
The Hausdorff dimension of the Julia set for complexpolynomial Z^d+C
《Chinese Science Bulletin》1995年第8期617-620,共4页杨国孝 
The dynamics of complex quadratic polynomials P_c(z)=z^2+c has been studiedextensively. In this note, we get one upper bound of the radius of the filled-in Juliaset of P(z), by Bieberbach conjecture(Theorem of de Bran...
关键词：iterate Julia SET Mandelbrot SET HAUSDORFF dimension. 
THE CAPACITY AND HAUSDORFF DIMENSION OF CUBIC MAP
《Chinese Science Bulletin》1990年第22期1869-1873,共5页徐文涛 彭守礼 
There have been many articles on the quadratic mapping, but only a few on the mapping of higher degree. This article shows how to use inverse iterancy sequence to calculate capacity and Hausdorff dimension with the cu...
关键词：INVERSE iterancy SEQUENCE SYMBOLIC dynamics ORDINAL distance function. 
MULTIPLE POINTS OF FRACTIONAL BROWNIAN MOTION AND HAUSDORFF DIMENSION
《Chinese Science Bulletin》1990年第20期1749-1750,共2页肖益民 
Let X(t)(t∈ R^N)be a d-dimensional fractional Brownian motion, x∈R^d is called a multiple point of multiplicity k of X(t)(t∈R^N), if there exist distinct t_l,… ,t_k ∈ RN such
关键词：BROWNIAN fractional MULTIPLICITY interior HAUSDORFF DISJOINT letter WEBER 
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