云南高校图书馆联盟文献共享服务平台- HAUSDORFF

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>>

Partial Regularity of Suitable Weak Solutions of the Model Arising in Amorphous Molecular Beam Epitaxy: 《Acta Mathematica Sinica,English Series》2023年第11期2219-2246,共28页Yan Qing WANG Yi Ke HUANG Gang WU Dao Guo ZHOU; the National Natural Science Foundation of China(Grant Nos.11971446,11601492,11771423 and12071113);Natural Science Foundation of He’nan(Grant No.232300421077);Research Start-up Funding Program of Hangzhou Normal University(Grant No.4235C50223204065)。; In this paper,we are concerned with the precise relationship between the Hausdorff dimension of possible singular point set S of suitable weak solutions and the parameterαin the nonlinear term in the following parabo...; 关键词：Surface growth model modified Navier–Stokes equations partial regularity Hausdorff dimension

A Carleson Problem for the Boussinesq Operator: 《Acta Mathematica Sinica,English Series》2023年第1期119-148,共30页Dan LI Jun Feng LI; supported by NSFC(Grant No.12071052);the Fundamental Research Funds for the Central Universities;supported by the Research Initiation Fund for Young Teachers of Beijing Technology and Business University(Grant No.QNJJ2021-02)。; In this paper,we show that the Boussinesq operator B_(t)f converges pointwise to its initial data.f∈H^(s)(R)as t→0 provided s≥1/4-more precisely-on one hand,by constructing a counterexample in R we discover that th...; 关键词：Carleson problem Boussinesq operator pointwise convergence Hausdorff dimension Sobolev space

Hausdorff Dimensions of Quasilines and Differentiability of Quasisymmetric Homeomorphisms: 《Acta Mathematica Sinica,English Series》2016年第4期499-506,共8页Sheng Jin HUO Sheng Jian WU; supported by National Natural Science Foundation of China(Grant Nos.11401432 and11571172);the second author is supported by National Natural Science Foundation of China(Grant No.11371035); In this paper,we try to describe the relationship between the differentiability of a quasisymmetric homeomorphism and the local Hausdorff dimension of the quasiline at a point.; 关键词：Quasiline quasisymmetric Fuchsian group Mostow’s rigidity

Hitting Probabilities and the Hausdorff Dimension of the Inverse Images of a Class of Anisotropic Random Fields被引量：1: 《Acta Mathematica Sinica,English Series》2015年第12期1895-1922,共28页Zhen Long CHEN Quan ZHOU; Supported by National Natural Science Foundation of China(Grant No.11371321); Let X = {X（t）：t ∈ R^N} be an anisotropic random field with values in R^d.Under certain conditions on X,we establish upper and lower bounds on the hitting probabilities of X in terms of respectively Hausdorff measu...; 关键词：Anisotropic random field non-linear stochastic heat equations spatially homogeneous Gaussian noise hitting probabilities Hausdorff dimension inverse image

Some Remarks on One-dimensional Functions and Their Riemann–Liouville Fractional Calculus被引量：4: 《Acta Mathematica Sinica,English Series》2014年第3期517-524,共8页Qi ZHANG; Supported by National Natural Science Foundation of China(Grant No.11201230);Natural Science Foundation of Jiangsu Province(Grant No.BK2012398); A one-dimensional continuous function of unbounded variation on [0, 1] has been con- structed. The length of its graph is infinite, while part＂ of this function displays fractal features. The Box dimension of its Rie...; 关键词：Box dimension Hausdorff dimension fractional integral fractal function

Hausdorf Dimension of Quadratic Rational Julia Sets: 《Acta Mathematica Sinica,English Series》2014年第2期331-342,共12页Jia ZHOU Liang Wen LIAO; Supported by National Natural Science Foundation of China(Grant Nos.10871089 and 11271179); Suppose a quadratic rational map has a Siegel disk and a parabolic fixed point. If the rotation number of the Siegel disk is an irrational of bounded type, then the Julia set of the map is shallow. This implies that i...; 关键词：SHALLOW Julia sets quadratic rational map Hausdorff dimension

Hitting Probabilities and Fractal Dimensions of Multiparameter Multifractional Brownian Motion被引量：1: 《Acta Mathematica Sinica,English Series》2013年第9期1723-1742,共20页Zhen Long CHEN; Supported by Zhejiang Provincial Natural Science Foundation of China (Grant No. Y6100663); The main goal of this paper is to study the sample path properties for the harmonisable-type N-parameter multifractional Brownian motion, whose local regularities change as time evolves. We provide the upper and lower...; 关键词：Multifractional Brownian motion hitting probability inverse image level set Hausdorff dimension packing dimension

Polar Functions and Intersections of the Random String Processes: 《Acta Mathematica Sinica,English Series》2012年第10期2067-2088,共22页Zhen Long CHEN; Supported by Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100663); Let {us （x）： s 〉 0, x ∈ JR} be a random string taking values in ]Rd. The main goal of this paper is to discuss the characteristics of the polar functions of {us （x）： s ≥ 0, x ∈ JR}. The relationship betwee...; 关键词：Random string process stationary pinned string polar function Hausdorff dimension packing dimension capacity

Hausdorff Dimension and Measure of a Class of Subsets of the General Sierpinski Carpets: 《Acta Mathematica Sinica,English Series》2010年第7期1369-1382,共14页Yong Xin GUI; Supported by the Educational Office of Hubei Province #Q20082802 the Science and Technology Commission of Shanghai Municipality #06ZR14029; In this paper we study a class of subsets of the general Sierpinski carpets for which two groups of allowed digits occur in the expansions with proportional frequency. We calculate the Hausdorff and Box dimensions of ...; 关键词：the general Sierpinski carpets Hausdorff dimension Hausdorff measure

A Note on a Quadratic Rational Map with Two Siegel Disks: 《Acta Mathematica Sinica,English Series》2010年第7期1393-1402,共10页Liang SHEN Sheng Jian WU; Supported by National Science Foundation of China (Grant No. 10671004);the Doctoral Education Program Foundation of China; Suppose f（z） is a quadratic rational map with two Siegel disks. If the rotation numbers of the Siegel disks are both of bounded type, the Hausdorff dimension of the Julia set satisfies Dim （J（f））〈2.; 关键词：Hausdorff dimension Siegel disk porous set

HAUSDORFF_DIMENSION