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一般线性群上随机游动系数的大偏差展式
线性群 随机游动系数 大偏差展式
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2023/12/13
Consider $(g_n)_{n\geq 1}$ a sequence of independent and identically distributed random matrices and the left random walk $G_n : = g_n \ldots g_1$ on the general linear group $GL(d, \mathbb R)$. Under...
FRAME POTENTIAL AND FINITE ABELIAN GROUPS
tight frame frame potential finite abelian group sampling
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2015/12/10
This article continues a prior investigation of the authors with the goal of extending characterization results of convolutional tight frames from the context of cyclic groups to general finite abelia...
CASIMIR OPERATORS AND MONODROMY REPRESENTATIONS OF GENERALISED BRAID GROUPS
CASIMIR OPERATORS MONODROMY REPRESENTATIONS GENERALISED BRAID GROUPS
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2015/10/14
Let g be a complex, simple Lie algebra with Cartan subalgebra h and Weyl group W . We construct a one parameter family of flat connections ∇κ on h with values in any finite–dimensional g–moduleV...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
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2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
EQUIVARIANT FLOW EQUIVALENCE FOR SHIFTS OF FINITE TYPE,BY MATRIX EQUIVALENCE OVER GROUP RINGS
EQUIVARIANT FLOW EQUIVALENCE SHIFTS OF FINITE TYPE MATRIX EQUIVALENCE OVER GROUP RINGS
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2015/9/29
Let G be a finite group. We classify G-equivariant flow equivalence of nontrivial irreducible shifts of finite type interms of (i) elementary equivalence of matrices over ZG and (ii) the conjugacy cla...
Non-Linear Covers of Real Groups
Non-Linear Covers Real Groups
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2015/9/28
Let G be a semisimple, simply connected, algebraic group defined over R. The set of real points G of G is not necessarily topologically simply connected, in which case G admits a non–trivial covering ...
Duality for Nonlinear Simply Laced Groups
Local Langlands Conjecture nonlinear groups Kazhdan-Lusztig theory
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2015/9/28
We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us ...
MODULAR FORMS AND SOME CASES OF THE INVERSE GALOIS PROBLEM
MODULAR FORMS SOME CASES INVERSE GALOIS PROBLEM
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2015/8/26
We prove new cases of the inverse Galois problem by considering the residual Galois representations arising from a fixed newform. Specific choices of weight 3 newforms will show thatthere are Galois e...
Groups of automorphisms of trees and their limit sets
Groups automorphisms trees limit sets
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2015/8/26
Let T be a locally finite simplicial tree and let ! ⊂ Aut(T ) be a finitely generated discrete subgroup. We obtain an explicit formula for the critical exponent of the Poincare series associated...
Diffusion and mixing in fluid flow
Diffusion mixing in fluid flow
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2014/4/4
We study enhancement of di®usive mixing on a compact Riemannian manifold by a fast incompressible °ow. Our main result is a sharp description of the class of °ows that make the deviation of the s...
设DOn是有限链［n］上的保反序奇异变换半群. 对任意的r(1≤r≤n-1), 考虑半群LD(n,r)={α∈DOn: |Im α|≤r}的秩, 证明了: LD(n,r)是由秩为r的元素生成的, 且它的秩为Crn; 当1≤l
p-幂零群的一个新刻画
S-置换 S-置换嵌入 弱S-半置换 p-幂零
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2014/1/9
称子群H在群G中弱S-半置换的,如果G存在的一个次正规子群B,使得G=HB且H∩B ≤ HssG,其中HssG是包含在H中的G的最大的S-半置换子群. 利用Sylow子群的极大子群的弱S-半置换性，并结合Sylow子群正规化子得到有限群成为p-幂零群的一个充分条件,推广了近来的一些结果.
Existence, uniqueness, universality and functoriality of the perfect locality over a Frobenius P-category
Existence functoriality of the perfect locality Frobenius P-category Group Theory
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2012/7/9
Let p be a prime, P a finite p-group and F a Frobenius P-category. The question on the existence of a suitable category L^sc extending the full subcategory of F over the set of F-selfcentralizing subg...
The Geometric Invariants of Group Extensions
The Geometric Invariants Group Extensions Group Theory
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2012/6/30
In this paper, we compute the {\Sigma}^n(G) and {\Omega}^n(G) invariants when 1 \rightarrow H \rightarrow G \rightarrow K \rightarrow 1 is a short exact sequence of finitely generated groups with K fi...
On the graded quotients of the ring of Fricke characters of a free group
Ring of Fricke characters Automorphism groups of free groups Andreadakis-Johnson filtration
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2012/6/27
First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, we define a descendin...