HOMEOMORPHISMS

作品数:19被引量:16H指数:2
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相关领域:理学更多>>
相关期刊:《Journal of Mathematical Research with Applications》《Science China Mathematics》《Wuhan University Journal of Natural Sciences》《Acta Mathematica Scientia》更多>>
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Birkhoff Orbits for Twist Homeomorphisms on the High-Dimensional Cylinder
《Wuhan University Journal of Natural Sciences》2025年第1期43-48,共6页ZHOU Tong 
Supported by the National Natural Science Foundation of China(12201446);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(22KJB110005);the Shuangchuang Program of Jiangsu Province(JSSCBS20220898)。
It is known that monotone recurrence relations can induce a class of twist homeomorphisms on the high-dimensional cylinder,which is an extension of the class of monotone twist maps on the annulus or two-dimensional cy...
关键词:monotone recurrence relation twist homeomorphism high-dimensional cylinder bounded action Birkhoff orbit 
IMPROVED REGULARITY OF HARMONIC DIFFEOMORPHIC EXTENSIONS ON QUASIHYPERBOLIC DOMAINS
《Acta Mathematica Scientia》2023年第1期373-386,共14页王壮 徐海清 
partially supported by the Young Scientist Program of the Ministry of Science and Technology of China(2021YFA1002200);supported by National Natural Science Foundation of China(12101226);partially supported by the National Natural Science Foundation of China(12101362);supported by Shandong Provincial Natural Science Foundation(ZR2021QA032)。
Let X be a Jordan domain satisfying certain hyperbolic growth conditions.Assume that φ is a homeomorphism from the boundary ?X of X onto the unit circle.Denote by h the harmonic diffeomorphic extension of φ from X o...
关键词:Poisson extension Orlicz-Sobolev homeomorphisms weighted Sobolev homeomorphisms quasihyperbolic domains 
Topological Stability and Pseudo-orbit Tracing Property for Homeomorphisms on Uniform Spaces
《Acta Mathematica Sinica,English Series》2022年第2期431-442,共12页Ke Song YAN Fan Ping ZENG 
Supported by NNSF of China(Grant Nos.11861010,11761012);NSF for Distinguished Young Scholar of Guangxi Province(Grant No.2018GXNSFFA281008);supported by the Cultivation Plan of Thousands of Young Backbone Teachers in Higher Education Institutions of Guangxi Province;Program for Innovative Team of Guangxi University of Finance and Economics;Project of Guangxi Key Laboratory Cultivation Base of Cross-border E-commerce Intelligent Information Processing(Grant No.201801ZZ03)。
In this paper,we investigate the topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces.We introduce the concept of topological stability for homeomorphisms on compact uniform spa...
关键词:Topological stability pseudo-orbit tracing property EXPANSIVENESS uniform space 
Uniform Homeomorphisms of Unit Spheres and Property H of Lebesgue–Bochner Function Spaces被引量:2
《Acta Mathematica Sinica,English Series》2017年第5期681-690,共10页Qing Jin CHENG Yun Bai DONG 
The first author is supported by National Natural Science Foundation of China(Grant No.11471271);the second author is supported by the Foundation of Hubei Provincial Department of Education(Grant No.Q20161602)
Assume that the unit spheres of Banach spaces X and Y are uniformly homeomorphic.Then we prove that all unit spheres of the Lebesgue–Bochner function spaces Lp(μ, X) and Lq(μ, Y)are mutually uniformly homeomorphic ...
关键词:Banach space uniform classification Property H Novikov conjecture 
Expansive Behaviours for Homeomorphisms of tvs-Cone Metric Spaces
《Journal of Mathematical Research with Applications》2016年第3期363-368,共6页Xun GE 
Supported by the National Natural Science Foundation of China(Grant Nos.11301367;61472469;11461005);the Doctoral Fund of Ministry of Education of China(Grant No.20123201120001)
Let f be a homeomorphism of a compact tvs-cone metric space. In this paper,we show that f is tvs-cone expansive if and only if f has a generator. Further, it is proved that if f is tvs-cone expansive, then the set of ...
关键词:topological dynamical generator finitely mathematics implies hence instead normed nonempty 
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 
Chaotic Expansive Homeomorphisms on Closed Orientable Surfaces of Positive Genus
《Communications in Mathematics and Statistics》2015年第3期291-314,共24页Jiehua Mai Song Shao 
The first author is supported by the Special Foundation of National Prior Basis Research of China(Grant No.G1999075108);the second author is supported by National Natural Science Foundation of China(11171320 and 11431012).
In this paper we give a new and elementary proof to the following fact:each closed orientable surface of positive genus admits a both chaotic and expansive homeomorphism.Further more,we show that the homeomorphisms gi...
关键词:Expansive homeomorphism Chaotic homeomorphism Closed orientable surface 
The Fixed Subgroups of Homeomorphisms of Seifert Manifolds
《Acta Mathematica Sinica,English Series》2015年第5期797-810,共14页Qiang ZHANG 
Supported by NSFC(Grant No.11201364);"the Fundamental Research Funds for the Central Universities"
Let M be a compact connected orientable Seifert manifold with hyperbolic orbifold BM, and fπ : π1 (M)→π1 (M) be an automorphism induced by an orientation-reversing homeomorphism f of M. We give a bound on the...
关键词:Seifert manifolds fixed subgroups HOMEOMORPHISMS 
Kobayashi's and Teichmiiller's Metrics on the Teichmiiller Space of Symmetric Circle Homeomorphisms被引量:3
《Acta Mathematica Sinica,English Series》2011年第3期617-624,共8页Jun HU Yun Ping JIANG 
We give a direct proof of a result of Earle, Gardiner and Lakic, that is, Kobayashi's metric and Teichmuller's metric coincide with each other on the Teichmfiller space of symmetric circle homeomorphisms.
关键词:Universal asymptotically conformal Teichmiiller space Teichmiiller's metric Kobayashi's metric 
RELATIONS BETWEEN SOLUTIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY SEMIMARTINGALE WITH NON-LIPSCHITZ COEFFICIENTS被引量:1
《Annals of Differential Equations》2010年第1期16-23,共8页Weiyin Fei School of Math. and Physics, Anhui University of Technology and Science,Wuhu 241000, Anhui 
Project supported by National Basic Research Program of China (973 Program,No.2007CB814901);National Natural Science Foundation of China (No.10826098);Anhui Natural Science Foundation (No.090416225);Anhui Natural Science Foundation of Universities
In this paper, a class of stochastic differential equations (SDEs) driven by semi-martingale with non-Lipschitz coefficients is studied. We investigate the dependence of solutions to SDEs on the initial value. To obta...
关键词:stochastic differential equations dependence of initial values local characteristic of semimartingale continuous version flow of homeomorphisms 
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