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将Green关系进行了不对称的推广，利用该Green关系研究了广义的完全正则半群，证明了广义完全正则半群为完全J*～-单半群的半格.
方向保序变换半群K(n,r)的极大正则子半群
变换半群 方向保序变换半群 极大正则子半群
2012/11/14
设OPn是［n］上的方向保序变换半群. 对任意的2≤r≤n-1, 研究半群K(n,r)={α∈OPn: | Im(α) |≤r}极大正则子半群的结构, 利用Miller-Clifford定理, 证明了半群K(n,r)的极大正则子半群有且仅有两类： M(α)=K(n,r-1)∪(Jr＼Rα), α∈Jr; N(α)=K(n,r-1)∪(Jr＼Lα), α∈Jr, 其中: Jr={α...
具HollingⅡ类功能反应及捕获的三种群L-V系统多
正周期解 L-V系统 重合度 Holling Ⅱ类功能反应 捕获
2012/11/14
运用比较定理及重合度理论, 研究一类具有Holling Ⅱ类功能反应及捕获的三种群L-V系统多个周期解的存在性. 结果表明, 在适当的条件下, 该系统至少存在8个不同的正周期解. 并通过具体实例证明了所得结论的有效性。
Variables separated equations: Strikingly different roles for the Branch Cycle Lemma and the Finite Simple Group Classification
group representations normal varieties Galois strati cation
2011/2/25
H. Davenport's Problem asks: What can we expect of two polynomials,over Z, with the same ranges on almost all residue class elds?This stood out among many separated variable problems posed by Davenpo...
考虑一类食饵种群具有密度制约项且具有常投放率而捕食者种群具有常收获率的Holling-Ⅳ类功能性反应捕食系统. 通过对系统等倾线性态的讨论, 判断出正平衡点的存在, 进而给出正平衡点存在的条件, 并分析了正平衡点的稳定性, 证明了闭轨的不存在性。
Dendroidal sets offer a formalism for the study of 1-operads akin to the formalism of 1-categories by means of simplicial sets. We present here an account of the current state of the theory while plac...
Random groups have fixed points on CAT(0) cube complexes
Random groups fixed points on CAT(0) cube complexes
2011/2/22
We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.
Manin triples and differential operators on quantum groups
Manin triples differential operators quantum groups
2011/1/18
Let (a,m, l) be a Manin triple, and let M, L be algebraic groups with Lie algebras m, l respectively. We point out that the product M×L carries a natural structure of Poisson manifold,whose Poisson te...
We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoheren...
Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Fixed points subgroups $G^{\sigma,\sigma'}$ by two involutive automorphisms $\sigma$, $\sigma'$ of exceptional compact Lie group $G$, Part II, $G = E_8$
Exceptional Lie group Symmetric space
2011/2/21
For the simply connected compact exceptional Lie group E8, we determine the structure of subgroup (E8).
Subgroups of isometries of Urysohn-Katetov metric spaces of uncountable density
Subgroups of isometries of Urysohn-Katetov metric uncountable density
2011/1/18
According to Katˇetov (1988), for every infinite cardinal m satisfying m n ≤ m for all
n < m, there exists a unique m-homogeneous universal metric space Um of weight m.
We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoheren...
Input Parameters Optimization in Swarm DS-CDMA Multiuser Detectors
Input Parameters Optimization Swarm DS-CDMA Multiuser Detectors
2011/3/3
In this paper, the uplink direct sequence code division multiple access (DS-CDMA) multiuser detection problem (MUD) is studied into heuristic perspective, named particle swarm optimization (PSO). Rega...