《Chinese Annals of Mathematics,Series B》

作品数:2156被引量:2570H指数:19
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《Chinese Annals of Mathematics,Series B》
主办单位:Fudan University
最新期次:2025年1期更多>>
发文主题:INSTRUCTIONSAUTHORSTHEOREMCAMEXISTENCE更多>>
发文领域:理学文化科学自动化与计算机技术天文地球更多>>
发文基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>
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Lifting Theorem for the Virtual Pure Braid Groups
《Chinese Annals of Mathematics,Series B》2025年第1期85-114,共30页Valeriy G.BARDAKOV Jie WU 
supported by the National Natural Science Foundation of China(No.11971144);the State Contract of the Sobolev Institute of Mathematics;SB RAS(No.I.1.5,FWNF-2022-0009);the High-level Scientific Research Foundation of Hebei Province;the Start-up Research Fund from Yanqi Lake Beijing Institute of Mathematical Sciences and Applications。
In this article the authors prove theorem on Lifting for the set of virtual pure braid groups.This theorem says that if they know presentation of virtual pure braid group V P_(4),then they can find presentation of V P...
关键词:Virtual braid group Pure braid group Simplicial group Virtual cabling 
Well-Posedness and Asymptotic Estimate for a Diffusion Equation with Time-Fractional Derivative
《Chinese Annals of Mathematics,Series B》2025年第1期115-138,共24页Zhiyuan LI Xinchi HUANG Masahiro YAMAMOTO 
supported by the National Natural Science Foundation of China(Nos.12271277,11771270,11801326,91730303);the Japan Society for the Promotion of Science(Nos.20H00117,20F20319);A3 Foresight Program“Modeling and Computation of Applied Inverse Problems”of Japan Society for the Promotion of Science and the Research Institute for Mathematical Sciences,an International Joint Usage/Research Center located in Kyoto University。
In this paper,the authors study the well-posedness and the asymptotic estimate of solution for a mixed-order time-fractional diffusion equation in a bounded domain subject to the homogeneous Dirichlet boundary conditi...
关键词:Mixed-order fractional diffusion equation Initial-boundary value problem Asymptotic estimate Energy method 
On the Necessary and Sufficient Conditions for Peng's Law of Large Numbers Under Sublinear Expectations
《Chinese Annals of Mathematics,Series B》2025年第1期139-150,共12页Xinpeng LI Gaofeng ZONG 
supported by the National Natural Science Foundation of China(Nos.12326603,11601281,11501325);the National Key R&D Program of China(No.2018YFA0703900);the Natural Science Foundation of Shandong Province(No.ZR2021MA018);the Social Science Planning Project of Shandong Province(No.24CJJJ18);the Qilu Scholars Program of Shandong University。
In this paper,the authors firstly establish the weak laws of large numbers on the canonical space(R^(N),B(R^(N)))by traditional truncation method and Chebyshev’s inequality as in the classical probability theory.Then...
关键词:Canonical space Independence and identical distribution Peng's law of large numbers Sublinear expectation 
Geometry of Numerical Range of Linear Operator Polynomial
《Chinese Annals of Mathematics,Series B》2025年第1期151-162,共12页Deyu WU Alatancang CHEN 
supported by the National Natural Science Foundation of China(No.11561048);the Natural Science Foundation of Inner Mongolia(No.2023MS01011)。
Let B(X)be the algebra of all bounded linear operators on a Hilbert space X.Consider an operator polynomial P(λ)=A_(m)λ^(m)+A_(m-1)λ^(m-1)+……-+A_(0),where Ai∈B(X),i=0,1,…,m.The numerical range of P(λ)is define...
关键词:Linear operator polynomial Numerical range Connectedness CONVEXITY Block numerical range 
INSTRUCTIONS TO AUTHORS
《Chinese Annals of Mathematics,Series B》2025年第1期F0003-F0003,共1页
1 The Chinese Annals of Mathematics(CAM)is a comprehensive mathematical journal carrying original papers on pure and applied mathematics.CAM Series B(English series)is published bimonthly jointly by the Editorial Offi...
关键词:jointly JOURNAL bimonthly 
CHINESE ANNALS OF MATHEMATICS EDITORIAL BOARD
《Chinese Annals of Mathematics,Series B》2025年第1期F0002-F0002,共1页
On Hempel Pairs and Turaev-Viro Invariants
《Chinese Annals of Mathematics,Series B》2025年第1期1-24,共24页Yi LIU 
supported by the National Natural Science Foundation of China (No. 11925101);the National Key R&D Program of China (No. 2020YFA0712800)。
Surface bundles arising from periodic mapping classes may sometimes have non-isomorphic, but profinitely isomorphic fundamental groups. Pairs of this kind have been discovered by Hempel. This paper exhibits examples o...
关键词:Profinite completion Mapping class group Turaev-Viro invariant 
Critical Perturbation Results for a Mixed Boundary Value Problem
《Chinese Annals of Mathematics,Series B》2025年第1期25-50,共26页Azeb ALGHANEMI Hichem CHTIOUI Moctar MOHAMEDEN 
Abstract Let K be a given positive function on a bounded domain Ω of R^(n),n≥3.The authors consider a nonlinear variational problem of the form:-Δu=K|u|^(4/n-2)u in Ω with mixed Dirichlet-Neumann boundary conditio...
关键词:Critical elliptic equations Variational methods Asymptotic analyzes Critical points at infinity 
The Homology Growth for Finite Abelian Covers of Smooth Quasi-projective Varieties
《Chinese Annals of Mathematics,Series B》2025年第1期51-62,共12页Fenglin LI Yongqiang LIU 
supported by the National Key Research and Development Project(No.SQ2020YFA070080);the National Natural Science Foundation of China(No.12001511);the Project of Stable Support for Youth Team in Basic Research Field CAS(No.YSBR-001);the Project of Analysis and Geometry on Bundles of the Ministry of Science and Technology of China and the Fundamental Research Funds for the Central Universities。
Let X be a complex smooth quasi-projective variety with a fixed epimorphism ν:π_(1)(X)■H,where H is a finitely generated abelian group with rank H≥1.In this paper,the authors study the asymptotic behaviour of Bett...
关键词:Mahler measure Jump loci Orbifold map L^(2)-Betti number 
Essential Numerical Ranges of Linear Relations and Singular Discrete Linear Hamiltonian Systems
《Chinese Annals of Mathematics,Series B》2025年第1期63-84,共22页Li ZHU Huaqing SUN 
supported by the National Natural Science Foundation of China(No.11971262);Shandong Province Natural Science Foundation(No.ZR2019MA038,ZR2024QA088)。
Abstract In the paper,a concept of the essential numerical range W_(e)(T)of a linear relation T in a Hilbert space is given,other various essential numerical ranges W_(ei)(T),i=1,2,3,4,are introduced,and relationships...
关键词:Linear relation Numerical range Essential numerical range Essential spectrum Singular discrete linear Hamiltonian system 
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