BOREL

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Limiting Behaviors for Longest Consecutive Switches in anⅡD Bernoulli Sequence
《Acta Mathematica Sinica,English Series》2023年第6期1138-1146,共9页Chen Xu HAO Ting MA 
Supported by the National National Science Foundation of China(Grant Nos.12101429,12171335);the Science Development Project of Sichuan University(Grant No.2020SCUNL201);the Fundamental Research Funds for the Central Universities of China。
In this paper we mainly discuss lower and upper bounds for the length of longest consecutive switches inⅡD Bernoulli sequences.This work is an extension of results for longest consecutive switches in unbiased coin-to...
关键词：Longest consecutive switches lower and upper bounds Borel-Cantelli lemma 
Borel Equivalence Relations between l_1and l_p
《Acta Mathematica Sinica,English Series》2013年第12期2391-2396,共6页Long Yun DING Zhi YIN 
supported by National Natural Science Foundation of China(Grant No.11071129);Program for New Century Excellent Talents in University(Grant No.09-0477)
In this paper, we show that, for each p 〉 1, there are continuum many Borel equivalence relations between Rω/l1 and Rω/p ordered by ≤B which are pairwise Borel incomparable.
关键词：Borel equivalence relation Borel reducibility 
On the Growth of Solutions of Second Order Linear Differential Equations with Extremal Coefficients被引量：11
《Acta Mathematica Sinica,English Series》2013年第2期365-372,共8页Jian Ren LONG Peng Cheng WU Zheng ZHANG 
Supported by National Natural Science Foundation of China(Grant No.11171080);Foundation of Science and Technology Department of Guizhou Province(Grant No.[2010]07)
In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B whi...
关键词：Entire function deficient value Borel direction order 
Some Results on Difference Riccati Equations被引量：5
《Acta Mathematica Sinica,English Series》2011年第6期1091-1100,共10页Zong Xuan CHEN Kwang Ho SHON 
The first author is supported by National Natural Science Foundation of China （Grant No. 10871076）; the second author is supported by Korea Research Foundation （KRF） grant funded by the Korea government （MEST） （Grant No. 2009-0074210）
Some properties of solutions for the difference Riccati equations are obtained. The existence and forms of rational solutions, and the Borel exceptional value, zeros, poles and fixed points of transcendental solutions...
关键词：Difference Riccati equation rational solution transcendental solution Borel exceptionalvalue 
The Hadamard Theorem and Borel-Carathéodory Theorem on Riemann Surfaces被引量：1
《Acta Mathematica Sinica,English Series》2006年第3期945-950,共6页Hui Ping ZHANG 
Supported by NSFC 10501052
In this paper, we first define a kind of pseudo-distance function and annulus domain on Riemann surfaces, then prove the Hadamard Theorem and the Borel-Carathéodory Theorem on any Riemann surfaces.
关键词：（Sub）harmonic functions Pseudo-distance function Annulus domain Analytic function 
A Fundamental Inequality for Meromorphic Functions in an Angular Domain and Its Application被引量：10
《Acta Mathematica Sinica,English Series》1994年第3期308-314,共7页Zhang Xuelian Department of Applied Mathematics Beijing Institute of Technology Beijing,100081 China 
Supported by the National Natural Science Foundation of China.
This paper is to study the characteristic functions of meromorphic functions for an angular domain.We show an inequality which is similar to the inequality in the second fundamental theorem of Nevranlinna,and estimate...
关键词：INEQUALITY BOREL Domain angular DIRECTIONS false SUPPOSE establishing latter ENOUGH 
The Uniqueness of Invariant Measures of Spatial Homogeneous Processes
《Acta Mathematica Sinica,English Series》1987年第2期109-115,共7页廖明 吴荣 
关键词：invariant absolutely satis Probability BOREL DISCUS BROWNIAN NONNEGATIVE 知俨 LOCALLY 
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