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Osaka Journal of Mathematics最新文献

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Intersection number and some metrics on Teichmüller space teichmller空间上的交点数和一些度量
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2020-01-01 DOI: 10.18910/73741
Zongliang Sun, Hui Guo
{"title":"Intersection number and some metrics on Teichmüller space","authors":"Zongliang Sun, Hui Guo","doi":"10.18910/73741","DOIUrl":"https://doi.org/10.18910/73741","url":null,"abstract":"Let T (X) be the Teichmüller space of a closed surface X of genus g ≥ 2, C(X) be the space of geodesic currents on X, and L : T (X)→ C(X) be the embedding introduced by Bonahon which maps a hyperbolic metric to its corresponding Liouville current. In this paper, we compare some quantitative relations and topological behaviors between the intersection number and the Teichmüller metric, the length spectrum metric and Thurston’s asymmetric metrics on T (X), respectively.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67914539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Local connectedness of the space of punctured torus group 穿孔环面群空间的局部连通性
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-10-01 DOI: 10.18910/73625
Sungbok Hong, Jihoon Park
{"title":"Local connectedness of the space of punctured torus group","authors":"Sungbok Hong, Jihoon Park","doi":"10.18910/73625","DOIUrl":"https://doi.org/10.18910/73625","url":null,"abstract":"We will give a necessary condition for local connectedness of the space of Kleinian punctured torus group using Bromgerg’s local coordinate system and provide a sufficient condition for local connectedness on a dense subset of the necessary condition. That is, the collection of the points where the boundary of the space of punctured torus group is not locally connected is a dense subset of the points satisfying the necessary condition.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42492897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS fock-bargmann-hartogs定域上的两个定理
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-10-01 DOI: 10.18910/73626
A. Kodama, S. Shimizu
{"title":"TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS","authors":"A. Kodama, S. Shimizu","doi":"10.18910/73626","DOIUrl":"https://doi.org/10.18910/73626","url":null,"abstract":"In this paper, we prove two mutually independent theorems on the family of Fock-BargmannHartogs domains. Let D1 and D2 be two Fock-Bargmann-Hartogs domains in CN1 and CN2 , respectively. In Theorem 1, we obtain a complete description of an arbitrarily given proper holomorphic mapping between D1 and D2 in the case where N1 = N2. Also, we shall give a geometric interpretation of Theorem 1. And, in Theorem 2, we determine the structure of Aut(D1 × D2) using the data of Aut(D1) and Aut(D2) for arbitrary N1 and N2.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45809614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A generalization of functional limit theorems on the Riemann zeta process Riemann-zeta过程函数极限定理的推广
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-10-01 DOI: 10.18910/73631
Satoshi Takanobu
{"title":"A generalization of functional limit theorems on the Riemann zeta process","authors":"Satoshi Takanobu","doi":"10.18910/73631","DOIUrl":"https://doi.org/10.18910/73631","url":null,"abstract":"$zeta(cdot)$ being the Riemann zeta function, $zeta_{sigma}(t) := frac{zeta(sigma + i t)}{zeta(sigma)}$ is, for $sigma > 1$, a characteristic function of some infinitely divisible distribution $mu_{sigma}$. A process with time parameter $sigma$ having $mu_{sigma}$ as its marginal at time $sigma$ is called a Riemann zeta process. Ehm [2] has found a functional limit theorem on this process being a backwards Levy process. In this paper, we replace $zeta(cdot)$ with a Dirichlet series $eta(cdot;a)$ generated by a nonnegative, completely multiplicative arithmetical function $a(cdot)$ satisfying (3), (4) and (5) below, and derive the same type of functional limit theorem as Ehm on the process corresponding to $eta(cdot;a)$ and being a backwards Levy process.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48357315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vector bundles, isoparametric functions and Radon transforms on symmetric spaces 对称空间上的向量束、等参函数和Radon变换
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-10-01 DOI: 10.18910/73623
Yasuyuki Nagatomo, M. Takahashi
{"title":"Vector bundles, isoparametric functions and Radon transforms on symmetric spaces","authors":"Yasuyuki Nagatomo, M. Takahashi","doi":"10.18910/73623","DOIUrl":"https://doi.org/10.18910/73623","url":null,"abstract":"","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45712678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THE HOMOTOPY TYPES OF SU(5)-GAUGE GROUPS su(5)-规范群的同伦类型
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-09-10 DOI: 10.18910/57660
Tyrone Cutler, S. Theriault
{"title":"THE HOMOTOPY TYPES OF SU(5)-GAUGE GROUPS","authors":"Tyrone Cutler, S. Theriault","doi":"10.18910/57660","DOIUrl":"https://doi.org/10.18910/57660","url":null,"abstract":"Let $mathcal{G}_k$ be the gauge group of the principal $SU(4)$-bundle over $S^4$ with second Chern class $k$ and let $p$ be a prime. We show that there is a rational or $p$-local homotopy equivalence $Omegamathcal{G}_ksimeqOmegamathcal{G}_{k'}$ if and only if $(60,k)=(60,k')$.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48195618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 26
CURVES WITH MAXIMALLY COMPUTED CLIFFORD INDEX 具有最大计算Clifford指数的曲线
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-04-01 DOI: 10.18910/72319
Takaomi Kato, G. Martens
{"title":"CURVES WITH MAXIMALLY COMPUTED CLIFFORD INDEX","authors":"Takaomi Kato, G. Martens","doi":"10.18910/72319","DOIUrl":"https://doi.org/10.18910/72319","url":null,"abstract":"We say that a curve X of genus g has maximally computed Clifford index if the Clifford index c of X is, for c > 2, computed by a linear series of the maximum possible degree d < g; then d = 2c + 3 resp. d = 2c + 4 for odd resp. even c. For odd c such curves have been studied in [6]. In this paper we analyze if/how far analoguous results hold for such curves of even Clifford index c.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42528100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
UNIFORM WELL-POSEDNESS FOR A TIME-DEPENDENT GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY 含时GINZBURG-LANDAU超导模型的一致适定性
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-04-01 DOI: 10.18910/72318
Jishan Fan, B. Samet, Yong Zhou
{"title":"UNIFORM WELL-POSEDNESS FOR A TIME-DEPENDENT GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY","authors":"Jishan Fan, B. Samet, Yong Zhou","doi":"10.18910/72318","DOIUrl":"https://doi.org/10.18910/72318","url":null,"abstract":"We study the initial boundary value problem for a time-dependent Ginzburg-Landau model in superconductivity. First, we prove the uniform boundedness of strong solutions with respect to diffusion coefficient 0 < < 1 in the case of Coulomb gauge. Our second result is the global existence and uniqueness of the weak solutions to the limit problem when = 0.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42760738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A CLASSIFICATION PROBLEM ON MAPPING CLASSES ON FIBER SPACES OVER TEICHMÜLLER SPACES teichmÜller空间上光纤空间上映射类的分类问题
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-04-01 DOI: 10.18910/72314
Yingqing Xiao, Chao Zhang
{"title":"A CLASSIFICATION PROBLEM ON MAPPING CLASSES ON FIBER SPACES OVER TEICHMÜLLER SPACES","authors":"Yingqing Xiao, Chao Zhang","doi":"10.18910/72314","DOIUrl":"https://doi.org/10.18910/72314","url":null,"abstract":"Let S̃ be an analytically finite Riemann surface which is equipped with a hyperbolic metric. Let S = S̃ {one point x}. There exists a natural projection Π of the x-pointed mapping class group Modx S onto the mapping class group Mod(S̃ ). In this paper, we classify elements in the fiber Π−1(χ) for an elliptic element χ ∈ Mod(S̃ ), and give a geometric interpretation for each element in Π−1(χ). We also prove that Π−1(tn a ◦ χ) or Π−1(tn a ◦ χ−1) consists of hyperbolic mapping classes provided that tn a ◦ χ and tn a ◦ χ−1 are hyperbolic, where a is a simple closed geodesic on S̃ and ta is the positive Dehn twist along a.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43854451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Invariants of the trace map and uniform spectral properties for discrete Sturmian Dirac operators 离散Sturmian Dirac算子的迹映射不变量和均匀谱性质
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2019-04-01 DOI: 10.18910/72324
R. Prado, R. Charão
{"title":"Invariants of the trace map and uniform spectral properties for discrete Sturmian Dirac operators","authors":"R. Prado, R. Charão","doi":"10.18910/72324","DOIUrl":"https://doi.org/10.18910/72324","url":null,"abstract":"We establish invariants for the trace map associated to a family of 1D discrete Dirac operators with Sturmian potentials. Using these invariants we prove that the operators have purely singular continuous spectrum of zero Lebesgue measure, uniformly on the mass and parameters that define the potentials. For rotation numbers of bounded density we prove that these Dirac operators have purely α -continuous spectrum, as to the Schr¨odinger case, for some α ∈ (0 , 1). To the Sturmian Schr¨odinger and Dirac models we establish a comparison between invariants of the trace maps, which allows to compare the numbers α ’s and lower bounds on transport exponents.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47798988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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