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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Nontrivial solutions for a quasilinear elliptic system with weight functions
权重函数 准线性 椭圆系统 非平凡解
2023/4/28
SPECTACLE CYCLES WITH COEFFICIENTS AND MODULAR FORMS OF HALF-INTEGRAL WEIGHT
SPECTACLE CYCLES COEFFICIENTS AND MODULAR FORMS HALF-INTEGRAL WEIGHT
2015/10/14
In this paper we present a geometric way to extend the Shintani lift from even weight cusp forms for congruence subgroups to arbitrary modular forms, in particular Eisenstein series. This is part of o...
Applying the Wiener-Hermite Random Technique to Study the Evolution of Excess Weight Population in the Region of Valencia (Spain)
Random SIS Type—Epidemiological Model Wiener—Hermite Expansion Perturbation Method
2013/1/30
This paper proposes a stochastic model to study the evolution of normal and excess weight population between 24 - 65 years old in the region of Valencia (Spain). An approximate solution process of the...
Eigenvalue interlacing and weight parameters of graphs
Eigenvalue interlacing weight parameters of graphs Combinatorics
2012/6/15
Eigenvalue interlacing is a versatile technique for deriving results in algebraic combinatorics. In particular, it has been successfully used for proving a number of results about the relation between...
Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case
Modularity lifting results parallel weight one Artin conjecture tamely ramified case Number Theory
2012/4/18
We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We u...
Quaternary Constant-Composition Codes with Weight Four and Distances Five or Six
Quaternary Constant-Composition Codes Weight Four Distances Five or Six
2012/3/1
The sizes of optimal constant-composition codes of weight three have been determined by Chee, Ge and Ling with four cases in doubt. Group divisible codes played an important role in their construction...
A 0-1 law for vertex-reinforced random walks on $\mathbb{Z}$ with weight of order $k^α$, $α<1/2$
vertex-reinforced random Probability
2011/9/5
Abstract: We prove that Vertex Reinforced Random Walk on $\mathbb{Z}$ with weight of order $k^\alpha$, with $\alpha\in [0,1/2)$, is either almost surely recurrent or almost surely transient. This impr...
A calculation of a half-integral weight multiplier system on SU(2,1)
half-integral weight multiplier system Number Theory
2011/9/1
Abstract: In this thesis, we construct a half-integral weight multiplier system on the group SU(2,1). In order to do so, we first find a formula for a 2-cocycle representing the double cover of SU(2,1...
Homotopy categories and idempotent completeness, weight structures and weight complex functors
Homotopy category idempotent completeness weight structure w-structure weight complex functor
2011/8/26
Abstract: This article provides some basic results on weight structures, weight complex functors and homotopy categories. We prove that the full subcategories K(A)^{w < n}, K(A)^{w > n}, K(A)^- and K(...
Integrability of weight modules of degree 1
Integrability of weight modules Representation Theory Hilbert space
2011/8/26
Abstract: The aim of this article is to find all weight modules of degree 1 of a simple complex Lie algebra that integrate to a continuous representation of a simply-connected real Lie group on some H...
Orthogonal polynomials and expansions for a family of weight functions in two variables
Orthogonal polynomials orthogonal expansions Jacobi polynomials
2011/2/25
Orthogonal polynomials for a family of weight functions on [1; 1]2,W;; (x; y) = jx + yj2+1jx yj2+1(1 x2) (1 y2) ; are studied and shown to be related to ...
Supporting Information for the Paper: Optimal Ternary Constant-Composition Codes of Weight Four and Distance Five, IEEE Trans. Inform. Theory, To Appear
Supporting Information for the Paper Optimal Ternary Constant-Composition Codes of Weight Four Distance Five
2011/1/17
Radon-Nikodým compact spaces of low weight and Banach spaces
Radon-Nikod´ ym compact quasi Radon-Nikod´ ym compact
2011/2/28
We prove that a continuous image of a Radon-Nikod´ym compact of weight less than b is Radon-Nikod´ym compact. As a Banach space counter-part, subspaces of Asplund generated Banach spaces o...
Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups
Extended weight semigroups affine spherical homogeneous spaces of non-simple semisimple algebraic groups
2011/1/17
The extended weight semigroup of a homogeneous space G/H of a connected semisimple algebraic group G characterizes the spectra of the repre-sentations of G on the spaces of regular sections of homogen...
Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
Exchange perverse weight filtration Hilbert schemes points of two surfaces
2011/1/21
We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of n-points of two surfaces, the affine plane minus the axes and the cotangent bun...