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Picard-Type Theorem and Curvature Estimate on an Open Riemann Surface with Ramification

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Chinese Annals of Mathematics,Series B 2023年第4期44卷 533-548页

作者： Zhixue liU yezhou li School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China Key Laboratory of Mathematics and Information Networks(Beijing University of Posts and Telecommunications) Ministry of EducationChina

Let M be an open Riemann surface and G:M→Pn(C)be a holomorphic *** the conformal metric on M which is given by ds^(2)=‖■‖^(2m)|w|^(2),where■is a reduced representation of G,ωis a holomorphic 1-form on M and m is a positive *** that ds^(2) is complete and G is k-nondegenerate(0≤k≤n).If there are q hyperplanes H1,H2,…,Hq■Pn(C)located in general position such that G is ramified over Hj with multiplicity at leastγj(>k)for each j∈{1,2,…,q},and it holds that■,then M is flat,or equivalently,G is a constant ***,one further give a curvature estimate on M without assuming the completeness of the surface.

关键词： Picard-type theorem Holomorphic map Riemann surface Curvature estimate

Properties of Complex Oscillation of Solutions of a Class of Higher Order linear Differential Equations

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Chinese Annals of Mathematics,Series B 2020年第1期41卷 27-36页

作者： Jianren LONG yezhou li School of Computer Science and School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China School of Mathematical Science Guizhou Normal UniversityGuiyang 550001China School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China

Let A(z)be an entire function withμ(A)<1/2 such that the equation f^(k)+A(z)f=0,where k≥2,has a solution f with λ(f)<μ(A),and suppose that A1=A+h,where h■0 is an entire function with ρ(h)<μ(A).Then g^(k)+A1(z)g... 详细信息

关键词： Complex differential equations Entire function Order of growth Exponent of convergence of the zeros

Cartan's Second Main Theorem and Mason's Theorem for Jackson Difference Operator

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Chinese Annals of Mathematics,Series B 2022年第3期43卷 383-400页

作者： Huixin DAI Tingbin CAO yezhou li School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China Department of Mathematics Nanchang UniversityNanchangJiangxi 330031China

Let f:C→P^(n)be a holomorphic curve of order *** authors establish a Jackson difference analogue of Cartan’s second main theorem for the Jackson q-Casorati determinant and introduce a truncated second main theorem of Jackson difference operator for holomorphic *** addition,a Jackson difference Mason’s theorem is proved by using a Jackson difference radical of a ***,they extend the Mason’s theorem for m+1 *** examples are constructed to show that their results are accurate.

关键词： Jackson difference operator Nevanlinna theory Holomorphic curve Cartan’s second main theorem Mason’s theorem Polynomial

The Detecting System of Image Forgeries with Noise Features and EXIF Information

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Journal of Systems Science & Complexity 2015年第5期28卷 1164-1176页

作者： SUN Xiaoting li yezhou NIU Shaozhang HUANG Yanli School of Science Beijing University of Posts and Telecommunications Beijing Key Lab of Intelligent Telecommunication Software and Multimedia Beijing University of Posts and Telecommunications

Recently, the digital image blind forensics technology has received an increasing attention in academic community. This paper aims at developing a new identification approach based on the statistical noise and exchangeable image file format(EXIF) information of image for images authentication. In particular, the authors can identify whether the current image has been modified or not by utilizing the relevance between noise and EXIF parameters and comparing the real values with the estimated values of the EXIF parameters. Experimental results validate the proposed method. That is, the detecting system can identify the doctored image effectively.

关键词： Blind forensics doctored image EXIF parameters noise features

A NOTE ON q-DIFFERENCE OPERATOR AND RELATED liMIT DIRECTION

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Acta Mathematica Scientia 2018年第6期38卷 1678-1688页

作者： yezhou li Ningfang SONG School of Science Beijing University of Posts and Telecommunications

The growth of entire functions under the q-difference operators is studied inthis paper, and then some properties of Julia set of entire functions under the higher orderq-difference operators are obtained.

关键词： q-difference operator order limit direction Julia set

THE VALUE DISTRIBUTION OF GAUSS MAPS OF IMMERSED HARMONIC SURFACES WITH RAMIFICATION

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Acta Mathematica Scientia 2022年第1期42卷 172-186页

作者： Zhixue liU yezhou li Xingdi CHEN School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China School of Mathematical Sciences Huaqiao UniversityQuanzhou 362021China

Motivated by the result of Chen-liu-Ru[1],we investigate the value distribution properties for the generalized Gauss maps of weakly complete harmonic surfaces immersed in R^(n) with ramification,which can be seen as a generalization of the results in the case of the minimal *** addition,we give an estimate of the Gauss curvature for the K-quasiconfomal harmonic surfaces whose generalized Gauss map is ramified over a set of hyperplanes.

关键词： value distribution harmonic surfaces quasiconformal mappings conformal metric,Gauss map

ON THE HYPER-ORDER OF MEROMORPHIC SOLUTIONS OF liNEAR DIFFERENTIAL EQUATIONS

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Applied Mathematics:A Journal of Chinese Universities 1998年第4期 3-5页

作者： li yezhou AND CHEN ZONGXUAN

§１ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＲｅｓｕｌｔｓＣｏｎｓｉｄｅｒｅｑｕａｔｉｏｎｆ（ｋ）（ｚ）＋Ａｋ－１（ｚ）ｆ（ｋ－１）（ｚ）＋．．．＋Ａ０（ｚ）ｆ（ｚ）＝０（１）ｗｉｔｈｔｒａｎｓｃｅｎｄｅｎｔａｌｃｏｅｆｉｃｉ...

§１ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＲｅｓｕｌｔｓＣｏｎｓｉｄｅｒｅｑｕａｔｉｏｎｆ（ｋ）（ｚ）＋Ａｋ－１（ｚ）ｆ（ｋ－１）（ｚ）＋．．．＋Ａ０（ｚ）ｆ（ｚ）＝０（１）ｗｉｔｈｔｒａｎｓｃｅｎｄｅｎｔａｌｃｏｅｆｉｃｉｅｎｔｓ．Ｌｅｔｆｂｅａｎｅｎｔｉ...

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The Detecting System of Image Forgeries with Noise Features and EXIF Information

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Journal of Systems Engineering and Electronics 2015年第5期26卷 1164-1176页

Recently, the digital image blind forensics technology has received an increasing attention in academic community. This paper aims at developing a new identification approach based on the statistical noise and exchangeable image file format （EXIF） information of image for images authen- tication. In particular, the authors can identify whether the current image has been modified or not by utilizing the relevance between noise and EXIF parameters and comparing the real values with the estimated values of the EXIF parameters. Experimental results validate the proposed method. That is, the detecting system can identify the doctored image effectively.

关键词： Blind forensics doctored image EXIF parameters noise features

A NOTE ON THE JUliA SETS OF ENTIRE SOLUTIONS TO DELAY DIFFERENTIAL EQUATIONS

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Acta Mathematica Scientia 2023年第1期43卷 143-155页

作者：李叶舟孙合庆 School of Science Beijing University of Posts and TelecommunicationsBeijing100876China

Let f be an entire solution of the Tumura-Clunie type non-linear delay differential *** mainly investigate the dynamical properties of Julia sets of f,and the lower bound estimates of the measure of related limiting d... 详细信息

关键词： delay differential equation dynamical properties Julia sets limiting directions