Φ混合AR(1)过程a.s.收敛性

本文对混合变量生成的一阶自回归过程建立了Ｍａｒｃｉｎｋｉｅｗｉｃｚ强大数定律．我们还给出了Ｈａｒｔｍａｎ－Ｗｉｎｔｎｅｒ重对数律在ＡＲ（１）上的结果．     

本刊英文版Vol.27(2011),No.9论文摘要(英文)

<正>Graphs Whose Critical Groups Have Larger Rank Yao Ping HOU Wai Chee SHIU Wai Hong CHAN Abstract The critical group C(G) of a graph G is a refinement of the number of spanning trees of the graph and is closely connected with the Laplacian matrix.Let r(G) be the minimum number of generators(i.e.,the rank) of the group C(G) andβ(G) be the number of independent     

本刊英文版Vol.29(2013),No.11论文摘要(英文)

<正>Vitali Type Convergence Theorems for Banach Space Valued Integrals Marek BALCERZAK Kazimierz MUSIAL Abstract Let(Ω,∑,μ)be a complete probability space and let X be a Banach space.We introduce the notion of scalar equi-convergence in measure which being applied to sequences of Pettis integrable functions generates a new convergence theorem.We also obtain a Vitali type I-convergence theorem for Pettis integrals where I is an ideal on N.On Universally Left-stability ofε-Isometry     

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.20(2004),No.4论文摘要(英文)

Laeunary Measures and Self-similar Probability Measures in Funetion SPaees Hans TRIEBELAbstraet The paPer deals with multifraetal quantities for some tyPes of Radon measuresespeeially sel仁similar Probability measures,and their relations to Besov spaees. …     

本刊英文版Vol.28(2012),No.3论文摘要(英文)

<正>Closed 3-stop Center and Periphery in Graphs Linda EROH Ralucca GERA Steven J.WINTERS A delivery person must leave the central location of the business,deliver packages at a number of addresses,and then return.Naturally,he/she wishes to reduce costs by finding the most efficient route.This motivates the following: Given a set of k distinct vertices S = {x_1,x_2,…,x_k} in a simple graph G,the closed k-stop-distance of set S is defined to be     

本刊英文版Vol.27(2011),No.4论文摘要(英文)

<正>Distribution of a Certain Partition Function Modulo Powers of Primes Hei-Chi CHAN Abstract In this paper,we study a certain partition function a(n) defined by∑_n≥0 a(n)q~n :=П_(n=1)(1 - q~n)~(-1)(1 - q~(2n)~(-1).We prove that given a positive integer j≥1 and a prime m≥5, there are infinitely many congruences of the type a(An + B)≡0(mod m~j).This work is inspired by Ono's ground breaking result in the study of the distribution of the partition function p(n).     

本刊英文版Vol.28(2012),No.4论文摘要(英文)

<正>On a Variant of Giuga Numbers Jose Maria GRAU Florian LUCA Antonio M.OLLER-MARCEN In this paper,we characterize the odd positive integers n satisfying the congruence∑_(j=1)~(n-1) j~((n-1)/2) = 0(rood n).We show that the set of such positive integers has an asymptotic density which turns out to be slightly larger than 3/8.     

本刊英文版Vol.21(2005),No.4论文摘要(英文)

Suppose that G is a finite group and D（G） the double algebra of G. For a given subgroup H of G, there is a sub-Hopf algebra D（G; H） of D（G）. This paper gives the concrete construction of a D（G; H）-invariant subspace AH in field algebra of G-spin model and proves that if H is a normal subgroup of G, then AH is Galois closed.     

本刊英文版Vol.26(2010),No.12论文摘要(英文)

<正>Distances between Elements of a Semigroup and Estimates for Derivatives Zohra BENDOUAD Isabelle CHALENDAR Jean ESTERLE Jonathan R.PARTINGTON Abstract This paper is concerned first with the behaviour of differences T(t) - T(s) near the origin,where(T(t)) is a semigroup of operators on a Banach space,defined either on the positive real line or a sector in the right half-plane(in which case it is assumed analytic).For the non-quasinilpotent case extensions of results in the published literature are provided,with best possible constants;in the case of quasinilpotent semigroups on the half-plane,it is shown     

本刊英文版Vol.29(2013),No.12论文摘要(英文)

<正>On Strong Kadison-Singer Algebras Ai Ju DONG Dong WANG Abstract We show that many Kadison-Singer algebras are maximal triangular in all algebras containing them although their definition requires the maximality taken in the class of reflexive algebras.Diagonal-trivial maximal non self-adjoint subalgebras of matrix algebras with lower dimensions are classified.     

本刊英文版Vol.28(2012),No.2论文摘要(英文)

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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.28(2012),No.7论文摘要(英文)

<正>Exponential Polynomials as Solutions of Certain Nonlinear Difference Equations Zhi Tao WEN Janne HEITTOKANGAS Ilpo LAINE Abstract Recently,C.-C.Yang and I.Laine have investigated finite order entire solutions     

本刊英文版Vol.26(2010),No.3论文摘要(英文)

<正>A Decomposition Theorem for G-GroupsⅠ.LIZASOAIN Some classical results about linear representations of a finite group G have been also proved for representations of G on non-abelian groups(G-groups).In this paper we establish a decomposition theorem for irreducible G-groups which expresses a suitable irreducible G-group as a tensor product of two projective G-groups in a similar way to the celebrated theorem of Clifford for linear representations.Moreover,we study the non-abelian minimal normal subgroups of G in which this decomposition is possible.     

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