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| There are 1368 papers published in subject: Mathematics since this site started. | |||
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| 1. $Z_3$-connectivity for power graphs | |||
| LI Xiangwen | |||
Mathematics 13 June 2017
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| Show/Hide Abstract | Cite this paper︱Full-text: PDF (119K B) | |||
| Abstract:Let $G$ be a connected graph. For an integer $kgeq 2$, $G^k$ isdefined to be a graph obtained from $G$ by adding new edge $uv$where $2leq d(u, v)leq k$. Let $A$ be an Abelian group with$|A|geq 3$. In this note, we prove that for any connected graph$G$, $G^l$ is $Z_3$-connected if and only if $|V(G)|geq 5$ or$Gcong K_1$, where $lgeq 3$. | |||
| TO cite this article:LI Xiangwen. $Z_3$-connectivity for power graphs[OL].[13 June 2017] http://www.paper.edu.cn/en_releasepaper/content/4736426 | |||
| 2. A unify approach for the derived equivalence ofself-injective algebras and self-injective orders | |||
| CHEN Yiping | |||
| Mathematics 13 June 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (136K B) | |||
| Abstract:Let $A$ and $B$ be derived equivalent artinalgebras (or orders). We give a unify approach to prove that if oneof them is self-injective, then the others is self-injective. | |||
| TO cite this article:CHEN Yiping. A unify approach for the derived equivalence ofself-injective algebras and self-injective orders[OL].[13 June 2017] http://www.paper.edu.cn/en_releasepaper/content/4737555 | |||
| 3. Auslander-Reiten sequences in subcategories of lattices | |||
| CHEN Yiping | |||
| Mathematics 12 June 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (193K B) | |||
| Abstract:Let $R$ be a complete discrete rank one valuation ringwith quotient field $K$, and let $Lambda$ be an order over $R$satisfying that $Kotimes_R Lambda$ is semisimple. In this paper,we give sufficient and necessary conditions for the existence ofAuslander-Reiten sequences in subcategories of lattices. | |||
| TO cite this article:CHEN Yiping. Auslander-Reiten sequences in subcategories of lattices[OL].[12 June 2017] http://www.paper.edu.cn/en_releasepaper/content/4737488 | |||
| 4. Eigenvalues of Regular Sixth-Order Sturm$-$Liouville Problems} | |||
| SUO Jianqing,WEI Zhen,SHI Zhijie | |||
| Mathematics 26 May 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (412K B) | |||
| Abstract:In this paper, we study the dependence of eigenvalues on sixth-orderSturm-Liouville problems. We obtain the eigenvalues of the Sixth-order Sturm-Liouville (S-L) problems depend not only continuously but smoothly on the problem. An expression for the derivative of the eigenvalues with respect to a given parameter: an endpoint,a boundary condition, a coefficient, or the weight function, are found. | |||
| TO cite this article:SUO Jianqing,WEI Zhen,SHI Zhijie. Eigenvalues of Regular Sixth-Order Sturm$-$Liouville Problems}[OL].[26 May 2017] http://www.paper.edu.cn/en_releasepaper/content/4736278 | |||
| 5. The sum of Lyapunov exponents on Quadradic differentials | |||
| YU Fei | |||
| Mathematics 26 May 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (196K B) | |||
| Abstract:In this paper we reporve a Kontsevich-Zorich formula for the sum of Lyapunov exponents of Teichm"{u}ller curves on Quadradic differentials. For a Teichm"{u}ller curve in moduli space of abelian differentials. Under some additionalassumptions, we also get an upper bound of individual Lyapunov exponents; in particular we get Lyapunov exponents in hyperelliptic loci and low genusnon-varying strata. | |||
| TO cite this article:YU Fei. The sum of Lyapunov exponents on Quadradic differentials[OL].[26 May 2017] http://www.paper.edu.cn/en_releasepaper/content/4736255 | |||
| 6. Dependence of Eigenvalues on the Regular Fourth-Order Sturm$-$Liouville Problem | |||
| SUO Jianqing,SHI Zhijie,WEI Zhen | |||
| Mathematics 26 May 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (412K B) | |||
| Abstract:The eigenvalues of a regular fourth-order Sturm–Liouville (SL) problems depend not onlycontinuously but smoothly on the problem. An expression for the derivative of the eigenvalues with respect to a given parameter: an endpoint, a boundary condition, a coefficient,or the weight function, are found. | |||
| TO cite this article:SUO Jianqing,SHI Zhijie,WEI Zhen. Dependence of Eigenvalues on the Regular Fourth-Order Sturm$-$Liouville Problem[OL].[26 May 2017] http://www.paper.edu.cn/en_releasepaper/content/4736214 | |||
| 7. Moderate deviations for estimators under an exponentiallystochastic differentiability condition | |||
| GAO Fu-qing,LIU Qiao-jing | |||
| Mathematics 16 May 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (172K B) | |||
| Abstract:We introduce an exponentially stochastic differentiability condition to study moderate deviations for M-estimators. Under the condition, a moderate deviation principle is established. Some sufficient conditions of the exponentially stochastic differentiability and examples are also given. | |||
| TO cite this article:GAO Fu-qing,LIU Qiao-jing. Moderate deviations for estimators under an exponentiallystochastic differentiability condition[OL].[16 May 2017] http://www.paper.edu.cn/en_releasepaper/content/4735018 | |||
| 8. Large deviation analysis for a Poisson model on thecoverage problem | |||
| GAO Fu-qing,ZHAO Xin-qiu | |||
| Mathematics 16 May 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (158K B) | |||
| Abstract:Mao and Lindsay proposed a Poisson model for the coverageproblem and studied the Good-Turing estimators associated with themodel. The Poisson model provides a simplified framework forinferring any general abundance-$mathcal K$ coverage. In thispaper, we prove that the Good-Turing estimators satisfy largedeviation principle and moderate deviation principle, which yieldrates of convergence and a useful method for constructing asymptoticconfidence intervals. | |||
| TO cite this article:GAO Fu-qing,ZHAO Xin-qiu. Large deviation analysis for a Poisson model on thecoverage problem[OL].[16 May 2017] http://www.paper.edu.cn/en_releasepaper/content/4735015 | |||
| 9. Explicit estimate for convergence rates of continuous time markov chains (I) | |||
| HOU Zhenting,ZHANG Zhuo,YAN Zhenhai | |||
| Mathematics 16 May 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (184K B) | |||
| Abstract:justifying In this paper, we give explicit estimate on the rate of convergence of the transition probabilities to the stationary distribution for a class of exponential ergodic Markov chains. Our results are different from earlier estimates using coupling theory and from estimates using stochastically monotone. The estimates show a noticeable improvement on existing results if Markov chains contain instantaneous state or nonconservative state. The method of proof uses existing result of discrete time Markov chain, together with $h-$ skeleton. We apply this results, Ray-Knight compactification and $mbox{It}hat{o}$ excursion theory to two examples: a class of singular Markov chains and Kolmogorov matrix. In addition, we apply the Ray-Knight compactification, $mbox{It}hat{o}$ excursion theory and explicit estimate for convergence rates of continuous time markov chains to two examples: a class of singular Markov chains and Kolmogorovmatrix. | |||
| TO cite this article:HOU Zhenting,ZHANG Zhuo,YAN Zhenhai. Explicit estimate for convergence rates of continuous time markov chains (I) [OL].[16 May 2017] http://www.paper.edu.cn/en_releasepaper/content/4734375 | |||
| 10. The Invalidity of the Log-Sobolev Inequality on thePath Space of Compound Poisson Processes | |||
| DENG Chang-Song | |||
| Mathematics 15 May 2017 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (142K B) | |||
| Abstract:By using a formula for random shifts on the path space of compound Poissonprocess, a natural Dirichlet form of jump type is defined. The generator of the Dirichlet formis formulated. Moreover, the log-Sobolev inequality is disproved. | |||
| TO cite this article:DENG Chang-Song. The Invalidity of the Log-Sobolev Inequality on thePath Space of Compound Poisson Processes[OL].[15 May 2017] http://www.paper.edu.cn/en_releasepaper/content/4734040 | |||
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