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HAUSDORFF_DIMENSION: 作品数：159被引量：118H指数：5; 导出分析报告; 相关作者：王贺元钟婷姜海益陆式盘杨竹莘更多>>; 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：《Numerical Mathematics(Theory,Methods and Applications)》《Progress in Natural Science:Materials International》《Analysis in Theory and Applications》《Open Journal of Applied Sciences》更多>>; 相关基金：国家自然科学基金上海市自然科学基金广东省自然科学基金武汉大学校科研和教改项目更多>>

On the Projections of the Mutual Multifractal Rényi Dimensions: 《Analysis in Theory and Applications》2021年第4期572-592,共21页Zied Douzi Bilel Selmi; In this paper,we compare the mutual multifractal Renyi dimensions to the´mutual multifractal Hausdorff and pre-packing dimensions.We also provide a relationship between the mutual multifractal Renyi dimensions of ort...; 关键词：Mutual Hausdorff dimension mutual packing dimension mutual multifractal analysis doubling measures projection.

A Note on the Convergence of the Schrodinger Operator along Curve: 《Analysis in Theory and Applications》2021年第3期330-346,共17页Junfeng Li Jun Wang; supported by NNSF of China(No.12071052);the fundamental Research Funds for the Central Universities.; In this paper we set up a convergence property for the fractional Schodinger operator for 0<α<1.Moreover,we extend the known results to non-tangent convergence and the convergence along Lipschitz curves.; 关键词：Refinement of the Carleson problem disconvergence set fractional Schrodinger operator Hausdorff dimension Sobolev space.

Hausdorff Dimension of a Class ofWeierstrass Functions: 《Analysis in Theory and Applications》2020年第4期482-496,共15页Huojun Ruan Na Zhang; It was proved by Shen that the graph of the classical Weierstrass function∑∞n=0λn cos(2πbnx)has Hausdorff dimension 2+logλ/log b,for every integer b≥2 and everyλ∈(1/b,1)[Hausdorff dimension of the graph of the...; 关键词：Hausdorff dimension Weierstrass function SRB measure.

The Multifractal Formalism for Measures, Review and Extension to Mixed Cases被引量：1: 《Analysis in Theory and Applications》2016年第4期303-332,共30页Mohamed Menceur Anouar Ben Mabrouk Kamel Betina; The mulfifractal formalism for single measure is reviewed. Next, a mixed generalized multifractal formalism is introduced which extends the multifractal formalism of a single measure based on generalizations of the Ha...; 关键词：Hausdorff measures packing measures Hausdorff dimension packing dimension renyi dimension multifractal formalism vector valued measures mixed cases Holderian measures doubling measures Borel-Cantelli large deviations

On the Connection between the Order of Riemann-Liouvile Fractional Calculus and Hausdorff Dimension of a Fractal Function被引量：2: 《Analysis in Theory and Applications》2016年第3期283-290,共8页Jun Wang Kui Yao Yongshun Liang; supported by BK 20161492;NSFA 11471157; This paper investigates the fractal dimension of the fractional integrals of a fractal function. It has been proved that there exists some linear connection between the order of Riemann-Liouvile fractional integrals a...; 关键词：Fractional calculus Hausdorff dimension Riemann-Liouvile fractional integral

Some Results on the Upper Convex Densities of the Self-Similar Sets at the Contracting-Similarity Fixed Points: 《Analysis in Theory and Applications》2015年第1期92-100,共9页Shaoyuan Xu Wangbin Xu Zuoling Zhou; partially supported by the foundation of the research item of Strong Department of Engineering Innovation, which is sponsored by the Strong School of Engineering Innovation of Hanshan Normal University, China, 2013;partially supported by National Natural Science Foundation of China (No. 11371379); In this paper, some results on the upper convex densities of self-similar sets at the contracting-similarity fixed points are discussed. Firstly, a characterization of the upper convex densities of self-similar sets a...; 关键词：Self-similar set upper convex density Hausdorff measure and Hausdorff dimension contracting-similarity fixed point.

NOTE ON THE PAPER “ AN NEGATIVE ANSWER TO A CONJECTURE ON THE SELF-SIMILAR SETS SATISFYING THE OPEN SET CONDITION”: 《Analysis in Theory and Applications》2012年第1期49-57,共9页Shaoyuan Xu Wangbin Xu; Supported in part by National Natural Science Foundation of China (No.10961003); In this paper, we present a more simple and much shorter proof for the main result in the paper ＂ An negative answer to a conjecture on the self-similar sets satisfy- ing the open set condition＂, which was published...; 关键词：self-similar set best covering natural covering Hausdorff measure andHausdorff dimension

CONTINUITY OF JULIA SET FOR A FAMILY OF ENTIRE FUNCTIONS: 《Analysis in Theory and Applications》2009年第4期317-324,共8页Cunji Yang; Supported by National Natural Science Foundation of China(10801134;10625107); Based on the work of McMullen about the continuity of Julia set for rational functions, in this paper, we discuss the continuity of Julia set and its Hausdorff dimension for a family of entire functions which satisfy ...; 关键词：complex dynamics iterated entire function Julia set Hausdorff dimension

THE RELATION OF DIMENSION, ENTROPY AND LYAPUNOV EXPONENT IN RANDOM CASE: 《Analysis in Theory and Applications》2008年第2期129-138,共10页Yun Zhao; Partially supported by NSFC(10571130);NSFC(10501033) and SRFDP of China.; We consider random systems generated by two-sided compositions of random surface diffeomorphisms, together with an ergodic Borel probability measure μ. Let D（μω） be its dimension of the sample measure, then we pr...; 关键词：Hausdorff dimension random dynamical systems

ON THE EXACT HAUSDORFF MEASURE OF A CLASS OF SELF-SIMILAR SETS SATISFYING OPEN SET CONDITION被引量：2: 《Analysis in Theory and Applications》2008年第1期93-100,共8页Shaoyuan Xu Weiyi Su Zuoling Zhou; Supported in part by Education Ministry, Anhui province, China (No. KJ2008A028); In this paper, we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition （OSC）. As applications, we discuss a self-simila...; 关键词：self-similar set Hausdorff measure and Hausdorff dimension open set condition

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