检索结果-南通市图书馆

Uniquely ergodic property of minimal probability measure in positive definite Lagrangian systems

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2006年第12期49卷 1864-1866页

作者： CHEN Jing & BAI Yuzhen department of mathematics, Nanjing university, Nanjing 210093, china department of mathematics, Qufu normal university, Qufu 273165, china 1. department of mathematics Nanjing University Nanjing 210093 China 2. department of mathematics Qufu Normal University Qufu 273165 China

Mane conjectured that every minimal measure in the generic Lagrangian systems is uniquely ergodic. In this paper, we will show that the answer to the Mane's conjecture is negative by analyzing the structure of the sup... 详细信息

关键词： minimal probability measure,uniquely ergodic,Mather theory,Lagrangian systems.

Decomposition of integrable holomorphic quadratic differential on Riemann surface of infinite type

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2010年第8期53卷 2039-2044页

作者： CHENG Tao department of mathematics,East china normal university,Shanghai 200241,china 1. department of mathematics East China Normal University Shanghai 200241 China

In this paper,decomposition of the integrable holomorphic quadratic differential on Riemann surface of infinite type is ***,Schleicher and Shishikura gave a thick-thin decomposition on Riemann surface of finite type with an integrable holomorphic quadratic differential and they thought their result might be generalized to arbitrary hyperbolic Riemann surface of infinite *** confirm what they thought is right and give a proposition(Proposition 2.2) of its own interest.

关键词： holomorphic quadratic differential decomposition collar

The pointwise dimension of self-similar measures

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1999年第23期44卷 2136-2140页

作者： CHEN Ercai and XIONG Jincheng department of mathematics , Nanjing normal university , Nanjing 210097, china department of mathematics , South china normal university, Guangzhou 510631 , china department of mathematics Nanjing Normal University Nanjing China department of mathematics South China Normal University Guangzhou China

The problem about the existence of pointwise dimension of self-similar measure has been discussed. The Hausdorff dimension of the set of those points for which the pointwise dimension does not exist equals the dimenti... 详细信息

关键词： self-similar measure point wise dimension Hausdorff dimension multifractal symbolic space.

Bloch constant of holomorphic mappings on the unit polydisk of C^n

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2008年第4期51卷 652-659页

作者： WANG JianFei~(1+) LIU TaiShun~2 1 College of mathematics and Physics Information Engineering zhejiang normal university jinhua 3.1004,china 2 department of mathematics Huzhou Teachers College Huzhou 313000 china College of mathematics and Physics Information Engineering Zhejiang Normal University Jinhua China department of mathematics Huzhou Teachers College Huzhou China

In this paper,we give a definition of Bloch mappings defined in the unit polydisk D^n, which generalizes the concept of Bloch functions defined in the unit disk *** is known that Bloch theorem fails unless we have some restrictive assumption on holomorphic mappings in several complex *** shall establish the corresponding distortion theorems for subfamiliesβ(K)andβ_(loc)(K) of Bloch mappings defined in the polydisk D^n,which extend the distortion theorems of Liu and Minda to higher *** an application,we obtain lower and upper bounds of Bloch constants for various subfamilies of Bloeh mappings defined in D^*** particular,our results reduce to the classical results of Ahlfors and Landau when n=1.

关键词： Bloch constant Bloch mapping univalent ball critical point Julia lemma locally biholomorphic mapping Landau constant

THE SECOND EXPONENT SET OF PRIMITIVE DIGRAPHS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2000年第2期21卷 233-236页

作者： MIAO ZHENGKE(department of mathematics, Nanjing university, Nanjing 210093, china.)(department of mathematics, Xuzhou normal university, Xuzhou 221009, china.) ZHANG KEMIN(department of mathematics, Nanjing university, Nanjing 210093, china.) department of mathematics Nanjing University Nanjing 210093 China department of mathematics Xuzhou Normal University Xuzhou 221009 China

Let D = (V, E) be a primitive digraph. The exponent of D, denoted byγ(D), is the least integer k such that for any u, v∈ V there is a directed walk of length k from u to v. The local exponent of D at a vertex u∈ V, denoted by exp_D (u), is the least integer k such that there is a directed walk of length k from u to v for each v ε V. Let V = {1,2,….,n}. Following [1], the vertices of V are ordered so that exp_D (1) ≤exp_D (2) ≤…≤exp_D(n) =λ(D). Let E_n(i):= {exp_D (i) ∈D PD_n}, where PD_n is the set of all primitive digraphs of order n. It is known that E_n(n) = {γ(D) D∈PD_n} has been completely settled by [7]. In 1998, E_n(1) was characterized by [5]. In this paper, the authors describe E_n(2) for all n≥2.

关键词： Primitive digraph Local exponent Gap

WHITEHEAD GROUPS OF MODULE EXTENSIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2004年第2期24卷 171-174页

作者：陈焕艮陈淼森 zhejiang normal Univ Dept Math Jinhua 321004 Peoples R China

When R satisfies (strong unit) 1-stable range and M is a R-R-bimodule, the authors calculate that K_1(R(?) M)≌U(R(?) M)/L(R(?) M). As applications, the authors also calculate some Whitehead groups for exchange rings ... 详细信息

关键词： Whitehead group module extension (strong unit)1-stable range

A MONOTONE COMPACT IMPLICIT SCHEME FOR NONLINEAR REACTION-DIFFUSION EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Journal of Computational mathematics 2008年第2期26卷 123-148页

作者： Yuanming Wang department of mathematics,East china normal university,Shanghai 200241,china Division of Computational Science,E-Institute of Shanghai Universities,Shanghai normal Benyu Guo department of mathematics,Shanghai normal university,Shanghai 200234,china Division of Computational Science,E-Institute of Shanghai Universities,Shanghai,china department of mathematics East China Normal University Shanghai 200241 China Division of Computational Science E-Institute of Shanghai Universities Shanghai Normal University Shanghai 200234 China department of mathematics Shanghai Normal University Shanghai 200234 China Division of Computational Science E-Institute of Shanghai Universities Shanghai China

A monotone compact implicit finite difference scheme with fourth-order accuracy in space and second-order in time is proposed for solving nonlinear reaction-diffusion equations. An accelerated monotone iterative method for the resulting discrete problem is presented. The sequence of iteration converges monotonically to the unique solution of the discrete problem, and the convergence rate is either quadratic or nearly quadratic, depending on the property of the nonlinear reaction. The numerical results illustrate the high accuracy of the proposed scheme and the rapid convergence rate *** iteration.

关键词： Nonlinear reaction-diffusion equation Monotone compact implicit scheme High accuracy Monotone iteration Rapid convergence rate.

Boundedness for commutators of fractional Hardy operators on Herz spaces

在线全文

学校读者我要写书评

暂无评论

Progress in Natural Science:Materials International 2007年第1期17卷 20-25页

作者： FU Zunwei, LIU Zongguang and LU Shanzhen ( School of Mathematical Sciences, Beijing normal university, Beijing 100875, china department of mathematics, Linyi normal university, Linyi 276005, china department of mathematics, china university of Mining and Technology, Beijing 100083, china) [a]School of Mathematical Sciences Beijing Normal University Beijing China [b]Departhent of mathematics Linyi Normal University Linyi China [c]Departhent of mathematics China University of Mining and Technology Beijing China

Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.

关键词： fractional Hardy operator Hardy’s integral inequality commutator one-sided CMO function homogeneous Herz space.

Some new results on planar harmonic mappings

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science china mathematics 2010年第3期53卷 597-604页

作者： CHEN HuaiHui department of mathematics, Nanjing normal university, Nanjing 210097, china 1. department of mathematics Nanjing Normal University Nanjing 210097 China

This survey paper contains some new results on the Landau theorem, Bloch theorem and Schwarz-Pick lemma for planar harmonic mappings.

关键词： harmonic mapping Landau theorem Bloch constant Schwarz-Pick lemma quasi-regularity