本刊英文版Vol.30(2014),No.9论文摘要(英文)

<正>Least Number of Periodic Points of Self-maps of Lie Groups Jerzy JEZIERSKI Abstract There are two algebraic lower bounds of the number of n-periodic points of a self-map f:M→M of a compact smooth manifold of dimension at least 3:NF_n(f)=min{#Fix(g~n);g~f;g is continuous}and NJD_n(f)=min{#Fix(g~n);g~f;g is smooth}.In general,NJD_n(f)may be much greater than NF_n(f).If M is a torus,then the invariants are     

本刊英文版Vol.30(2014),No.11论文摘要(英文)

<正>On Equivalence of Simple Closed Curves in Flat Surfaces Zong Liang SUN Abstract By explicit constructions,we give direct proofs of the following results:for any distinct homotopy classes of simple closed curvesαandβin a closed surface of genus g1,there exist a hyperbolic structure X and a holomorphic quadratic differential q on X such that     

本刊英文版Vol.30(2014),No.10论文摘要(英文)

<正>on Double Vector Bundles Zhuo CHEN Zhang Ju LIU Yun He SHENG Abstract In this paper,we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles.Moreover,operations on double vector bundles can be transferred to operations on the corresponding short exact sequences.In particular,we study the duality theory of double vector bundles in term of     

本刊英文版Vol.30(2014),No.12论文摘要(英文)

<正>Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion Chang Yu GUO Abstract Let f:Ω→f(Ω)R~n be a W~(1,1)-homeomorphism with L~1-integrable inner distortion.We show that finiteness of min{lip_f(x),k_f(x)},for every x∈Ω\E,implies that f~(-1)∈W~(1,n)and has finite distortion,provided that the exceptional set E hasσ-finite H~1-measure.Moreover,f has finite distortion,differentiable a.e.and the Jacobian J_f0 a.e.     

本刊英文版Vol.30(2014),No.7论文摘要(英文)

<正>Perturbations of Frames Dong Yang CHEN;;Lei LI;;Ben Tuo ZHENG Abstract In this paper,we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases.Similar results are also extended to frame sequences,Riesz sequences and Schauder frames.It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.Perturbations of Moore-Penrose Metric Generalized Inverses of Linear Operators in Banach Spaces Hai Feng MA;;Shuang SUN;;Yu Wen WANG;;Wen Jing ZHENG     

本刊英文版Vol.30(2014),No.4论文摘要

<正>The Defocusing Energy-supercritical Hartree Equation Ji Qiang ZHENGAbstract In this paper,we study the global well-posedness and scattering problem for the energy-supercritical Hartree equation iu_t+△u-(|x|~(-γ)*|u|~2)u=0 withγ4 in dimension dγ.We prove that if the solution u is apriorily bounded in the critical Sobolev space,that is,u∈L_t~∞(I;H_x~sc(R~d))with s_c:=γ/2-11,then u is global and scatters.The impetus to     

本刊英文版Vol.30(2014),No.1论文摘要

<正>Analysis on a Superlinearly Convergent Augmented Lagrangian Method Ya Xiang YUAN Abstract The augmented Lagrangian method is a classical method for solving constrained optimization.Recently,the augmented Lagrangian method attracts much attention due to its applications to sparse optimization in compressive sensing and low rank matrix optimization problems.However,most Lagrangian methods use first order information to update the Lagrange multipliers,which lead to only linear convergence.In this paper,we study an update technique     

本刊英文版Vol.30(2014),No.2论文摘要

<正>Subordination in the Sense of Bochner of L~p-semigroups and Associated Markov Processes Oana LUPASCU Abstract We show that the subordination induced by a convolution semigroup(subordination in the sense of Bochner)of a C_0-semigroup of sub-Markovian operators on an L~p space is actually associated to the subordination of a right(Markov)process.As a consequence,we solve the martingale problem associate with the Lp-infinitesimal generator of the subordinate semigroup.We also prove quasi continuity properties for the elements of the domain of the     

本刊英文版Vol.30(2014),No.3论文摘要

<正>Explicit Stationary Distribution of the(L,1)-reflecting Random Walk on the Half Line Wen Ming HONG Ke ZHOU Yi Qiang Q.ZHAO Abstract In this paper,we consider the(L,1)state-dependent reflecting random walk(RW)on the half line,which is an RW allowing jumps to the left at a maximal size L.For this model,we provide an explicit criterion for(positive)recurrence and an explicit expression for the stationary distribution.As an application,we prove the geometric tail asymptotic behavior of the stationary distribution under certain conditions.The main tool employed in the paper is     

本刊英文版Vol.30(2014),No.6论文摘要（英文）

<正>Categorification of Integrable Representations of Quantum Groups Hao ZHENG Abstract We eategorify the highest weight integrable representations and their tensor prod—ucts of a symmetric quantum Kac—Moody algebra.As a byproduct,we obtain a geometric realization of Lusztig's canonical bases of these representations as well as a new positivity result.The main ingredient in the underlying geometric construction is a class of micro-local perverse     

本刊英文版Vol.30(2014),No.5论文摘要（英文）

<正>Similarity Degrees for the Crossed Product of yon Neumann Algebras Jin Song WU Wen Ming WU Abstract In this paper,we will estimate an upper bound for the similarity degree of the crossed product of a hyperfinite finite yon Neumann algebra by weakly compact action of an infinite discrete group.We will also improve some upper bounds for similarity degrees of some finite von Neumann algebras.     

本刊英文版Vol.29(2013),No.8论文摘要(英文)

<正>L(j,k)-number of Direct Product of Path and Cycle Wai Chee SHIU Qiong WU Abstract For positive numbers j and k,an L(j,k)-labeling f of G is an assignment of numbers to vertices of G such that |f(u)-f(v)|≥j if uv∈E(G),and |f(u)-f(v)|≥k if d(u,v)=2.Then the span of f is the difference between the maximum and the minimum numbers assigned by f.The L(j,k)-number of G,denoted byλ_(j,k)(G),is the minimum span over     

本刊英文版Vol.28(2012),No.8论文摘要(英文)

<正>Estimating Complex Covariance by Observing Two Variables at a Time C.S.WITHERS S.NADARAJAH O.NφRKLI R.RAICH R.G.VAUGHAN     

本刊英文版Vol.30(2014),No.12论文摘要(英文)北大核心CSCD

Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion Chang Yu GUO Abstract Let f:Ω→f（Ω）Rⁿ be a W^1,1-homeomorphism with L¹-integrable inner distortion.We show that finiteness of min{lip_f（x）,k_f（x）},for every x∈Ω\E,implies that f^-1∈W^1,nand has finite distortion,provided that the exceptional set E hasσ-finite H¹-measure.Moreover,f has finite distortion,differentiable a.e.and the Jacobian J_f>0 a.e.     

本刊英文版Vol.30(2014),No.11论文摘要(英文)北大核心CSCD

On Equivalence of Simple Closed Curves in Flat Surfaces Zong Liang SUN Abstract By explicit constructions,we give direct proofs of the following results:for any distinct homotopy classes of simple closed curvesαandβin a closed surface of genus g>1,there exist a hyperbolic structure X and a holomorphic quadratic differential q on X such     

本刊英文版Vol.27(2011),No.8论文摘要

<正>Schrdinger Soliton from Lorentzian Manifolds Chong SONG You De WANG Abstract In this paper,we introduce a new notion named as Schrdinger soliton.The socalled Schrdinger solitons are a class of solitary wave solutions to the Schrdinger flow equation from a Riemannian manifold or a Lorentzian manifold M into a Khler manifold N.If the target manifold N admits a Killing potential,then the Schrdinger soliton reduces to a harmonic     

本刊英文版Vol.31(2015),No.8论文摘要

<正>Weighted Pseudo Asymptotically Periodic Mild Solutions of Evolution Equations Zhi Nan XIA Abstract In this paper,we propose a new class of functions called weighted pseudo Sasymptotically periodic function in the Stepanov sense and explore its properties in Banach space     

本刊英文版Vol.36(2020),No.8论文摘要

正Topics on the Geometry of Rational Homogeneous Spaces Laurent MANIVEL Abstract This is a survey paper about a selection of results in complex algebraic geometry that appeared in the recent and less recent litterature, and in which rational homogeneous spaces play a prominent role. This selection is largely arbitrary and mainly reflects the interests of the author.     

本刊英文版Vol.33(2017),No.8论文摘要（英文）

正Nonlinear Branching Processes with Immigration Pei Sen LI Abstract The nonlinear branching process with immigration is constructed as the pathwise unique solution of a stochastic integral equation driven by Poisson random measures.Some criteria for the regularity,recurrence,ergodicity and strong ergodicity of the process are then established.     

本刊英文版Vol.32(2016),No.8论文摘要（英文）

正A New Functor from D_5-Mod to E_6-Mod Xiao Ping XU Abstract We find a new representation of the simple Lie algebra of type E_6 on the polynomial algebra in 16 variables,which gives a fractional representation of the corresponding Lie group on 16-dimensional space.Using this representation and Shen's idea of mixed product,we construct a new functor from D_5-Mod to E_6-Mod.A condition for the functor to map a