共查询到20条相似文献,搜索用时 46 毫秒
1.
We study minimal topological realizations of families of ergodic measure preserving automorphisms (e.m.p.a.'s). Our main result
is the following theorem.
Theorem: Let {Tp:p∈I} be an arbitrary finite or countable collection of e.m.p.a.'s on nonatomic Lebesgue probability spaces (Y
p
v
p
). Let S be a Cantor minimal system such that the cardinality of the set ε
S
of all ergodic S-invariant Borel probability measures is at least the cardinality of I. Then for any collection {μ
p
:pεI} of distinct measures from ε
S
there is a Cantor minimal system S′ in the topological orbit equivalence class of S such that, as a measure preserving system,
(S
1,μ
p
) is isomorphic to Tp for every p∈I. Moreover, S′ can be chosen strongly orbit equivalent to S if and only if all finite topological factors of
S are measure-theoretic factors of Tp for all p∈I.
This result shows, in particular, that there are no restrictions at all for the topological realizations of countable families
of e.m.p.a.'s in Cantor minimal systems. Namely, for any finite or countable collection {T
1,T2,…} of e.m.p.a.'s of nonatomic Lebesgue probability spaces, there is a Cantor minimal systemS, whose collection {μ1,μ2…} of ergodic Borel probability measures is in one-to-one correspondence with {T
1,T2,…}, and such that (S,μ
i
) is isomorphic toT
i for alli.
Furthermore, since realizations are taking place within orbit equivalence classes of a given Cantor minimal system, our results
generalize the strong orbit realization theorem and the orbit realization theorem of [18]. Those theorems are now special
cases of our result where the collections {T
p}, {T
p
}{μ
p
} consist of just one element each.
Research of I.K. was supported by NSF grant DMS 0140068. 相似文献
2.
Letp>q and letG=Sp(p, q). LetP=LN be the maximal parabolic subgroup ofG with Levi subgroupL≅GL
q
(ℍ)×Sp(p−q). Forsεℂ andμ a highest weight of Sp(p−q), let пs,μ be the representation ofP such that its restriction toN is trivial and
⊠T
p-q
μ
, where det
q
is the determinant character of GL
q
(ℍ) andT
p-q
μ
is the irreducible representation of Sp(p−q) with highest weightμ. LetI
p,q(s, μ) be the Harish-Chandra module of the induced representation Ind
P
G
. In this paper, we shall determine the module structure and unitarity ofI
p, q(s, μ).
Partially supported by NUS grant R-146-000-026-112. 相似文献
3.
本文首先给出(α,β)-γ开集定义,获得了(α,β)-γ开集性质;然后引入了(α,β)-γ-Ti空间和(α,β)-γ-Ti*空间概念(i=0,1/2,1,2,5/2),并得到它们更广泛的拓扑性质. 相似文献
4.
We prove that if the existence of a supercompact cardinal is consistent with ZFC, then it is consistent with ZFC that the
p-rank of Ext
ℤ(G, ℤ) is as large as possible for every prime p and for any torsion-free Abelian group G. Moreover, given an uncountable
strong limit cardinal μ of countable cofinality and a partition of Π (the set of primes) into two disjoint subsets Π0 and Π1, we show that in some model which is very close to ZFC, there is an almost free Abelian group G of size 2μ = μ+ such that the p-rank of Ext
ℤ(G, ℤ) equals 2μ = μ+ for every p ∈ Π0 and 0 otherwise, that is, for p ∈ Π1.
Number 874 in Shelah’s list of publications. Supported by the German-Israeli Foundation for Scientific Research & Development
project No. I-706-54.6/2001.
Supported by a grant from the German Research Foundation DFG.
__________
Translated from Algebra i Logika, Vol. 46, No. 3, pp. 369–397, May–June, 2007. 相似文献
5.
三矩阵乘积的(T,S,2)-逆的反序律 总被引:1,自引:1,他引:0
矩阵A的(T,S,2)-逆是指适合XAX=X,R(X)=T和N(X)=S的矩阵X,以矩阵的秩为工具,本文研究了三矩阵乘积的(T,S,2)-逆的反序律,给出了(ABC)(T4,S4)(2)=C(T3,S3)(2)B(T2,S2)(2)A(T1,S1)(2)的充要条件。 相似文献
6.
本文讨论P2(C)中全纯曲线相交处于次一般位置超平面的唯一性.设f1, f2, · · · , fλ为P2(C)中线性非退化的全纯曲线,H1, H1, · · · , Hq为P2(C)上处于m-次一般位置的超平面,满足Aj :f1-1(Hj) = · · · =fλ-1(Hj) (1 ≤ j ≤ q)且Ai ∩ Aj = ?(i = j).假设存在整数l (2 ≤ l ≤ λ),使得fj1(z) ∧ fj2(z) ∧ · · · ∧ fjl(z) = 0 (z ∈ Aj)对任意l个指标1 ≤ j1 < j2 < · · · < jl < λ成立.那么当 q > 2λ/λ-l+1 + 3/2 m时, f1 ∧ · · · ∧ fλ ≡ 0.关键技术是第二基本定理中不等式改进为: ∥(q - 3m/2)Tft(r)≤ Pjq=1N2(ft,Hj )(r, 0) + o(Tft(r))(1 ≤ t ≤ λ). 相似文献
7.
We show that the gauge invariance of the operator ∫ dx tr(A
μ
2
−2/(gξ)x
υθμυ
A
μ) in a noncommutative gauge theory does not lead to the gauge independence of its vacuum condensate. We obtain the generalized
Ward identities for Green’s functions containing the operator limΩ→∞(1/Ω)∫Ω
dx tr (A
μ
2
) in commutative and noncommutative gauge theories.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 148, No. 3, pp. 350–356, September, 2006. 相似文献
8.
A. K. Aleskeviciene 《Lithuanian Mathematical Journal》2005,45(4):359-367
Let X
1, X
2,... be independent identically distributed random variables with distribution function F, S
0 = 0, S
n
= X
1 + ⋯ + X
n
, and Sˉ
n
= max1⩽k⩽n
S
k
. We obtain large-deviation theorems for S
n
and Sˉ
n
under the condition 1 − F(x) = P{X
1 ⩾ x} = e−l(x), l(x) = x
α
L(x), α ∈ (0, 1), where L(x) is a slowly varying function as x → ∞.
__________
Translated from Lietuvos Matematikos Rinkinys, Vol. 45, No. 4, pp. 447–456, October–December, 2005. 相似文献
9.
Z. Buczolich 《Acta Mathematica Hungarica》2007,117(1-2):91-140
We construct a sequence (n
k
) such that n
k + 1 − n
k
→ ∞ and for any ergodic dynamical system (X, Σ, μ, T) and f ε L
1(μ) the averages converge to ∝
X
f
dμ for μ almost every x. Since the above sequence is of zero Banach density this disproves a conjecture of J. Rosenblatt and M. Wierdl about the
nonexistence of such sequences.
Research supported by the Hungarian National Foundation for Scientific research T049727. 相似文献
10.
记Hl={w∈C∞(Rk\{0}):w是l次齐次函数),R(-a)(m)是Taylor级数余项算子的n重叠合:m=(m1,…,mn)∈Zn,Z记非负整数的集,α∈(Rk)n,定义 其中a=(a1,…,an),ai,f∈(Rk), 主要结果如下: 1.证明了几个介于算子TR(-a)(m)w(ξ)),(a,f)的类与多线性奇异积分算子的类之间的对等定理; 2.作为应用,算子及 的某些有界性结果被给出,其中Ω∈H0,|β|≤|m|,且,mi≥1。 相似文献
11.
We obtain the exact convergence rate of the stationary distribution (K) of the embedded Markov chain in GI/M/c/K queue to the stationary distribution of the embedded Markov chain in GI/M/c queue as K. Similar result for the time-stationary distributions of queue size is also included. These generalize Choi and Kim's results of the case c=1 by nontrivial ways. Our results also strengthen the Simonot's results [5]. 相似文献
12.
We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence
kernels.
Work on the paper was supported by Council of Czech Government No J14/98:153100011. 相似文献
13.
Pascal Romon 《Annals of Global Analysis and Geometry》1994,12(1):341-355
This article analyzes the behaviour of helicoidal ends of properly embedded minimal surfaces, namely properly embedded infinite total curvature minimal annuli of parabolic type, satisfying a growth condition on the curvature via the Gauss map, and a geometric transversality condition. Then we show that embeddedness forces the end to be asymptotic either to a plane, or a helicoid or a spiraling helicoid. In all three cases, the Gauss map can be described in very simple terms. Finally this local result yields a global corollary stating the rigidity of embedded minimal helicoids. 相似文献
14.
The aim of this paper is to present two different approachs in order to obtain an existence result to the so-called quadrature
surface free boundary problem. The first one requires the shape derivative calculus while the second one depends strongly
on the compatibility condition of the Neumann problem. A necessary and sufficient condition of existences is given in the
radial case. 相似文献
15.
V. P. Stavrov V. V. Stavrov N. V. Pankova K. Friedrich 《Mechanics of Composite Materials》2000,36(2):155-162
The influence of displacements of tensioned fibers on the impregnation of fibrous layers with a polymer melt and on the final
composite structure is studied. Using computer simulation, it is shown that, during impregnation, the structure of tensioned
fibrous layers changes considerably depending on the initial arrangement and tensioning of fibers. The consolidated regions
formed under the melt front move inside the impregnated layer with the advancing melt front. Displacement of the tensioned
fibers as well as the formation of “washouts” favors the impregnation of internal layers, but cause significant inhomogeneity
of the polymer structure. The surface (on the side of the melt flow) regions are more saturated with the polymer than the
internal ones. A difference in the melt percolation mechanisms at various impregnation regimes is revealed. The effective
permeability coefficients of a tensioned fiber layer are not constant but depend on the conditions and regimes of impregnation.
Submitted to the 11th Conference on the Mechanics of Composite Materials (Riga, June 11–15, 2000).
Translated from Mekhanika Kompozitnykh Materialov, Vol. 36, No. 2, pp. 259–270, March–April, 2000. 相似文献
16.
Anm-consecutive-k-out-of-n:F system is a system ofn linearly arranged components which fails if and only if at leastm non-overlapping sequences ofk components fail, when there arek distinct components with failure probabilitiesq
i
fori=1,...,k and where the failure probability of thej-th component (j=rk+i (1 ≤i ≤k) isq
j
=q
i
, we call this system by anm-consecutive-k-out-of-n:F system with cycle (or period)k. In this paper we give a formula of the failure probability ofm-consecutive-k-out-of-n:F system with cyclek via the failure probability of consecutive-k-out-of-n:F system. 相似文献
17.
In continuation of our earlier work [2] we describe the indecomposable representations and the Auslander-Reiten quivers of
a family of vector space categories playing an important role in the study of domestic finite dimensional algebras over an
algebraically closed field. The main results of the paper are applied in our paper [3] where we exhibit a wide class of almost
sincere domestic simply connected algebras of arbitrary large finite global dimensions and describe their Auslander-Reiten
quivers. 相似文献
18.
Artur Piękosz 《Central European Journal of Mathematics》2003,1(4):441-456
We prove rectilinearization and uniformization theorems for K-subanalytic (∝
an
K
-definable) sets and functions using the Lion-Rolin formula. Parallel reasoning gives standard results for the subanalytic
case. 相似文献
19.
Many models for customers impatience in queueing systems have been studied in the past; the source of impatience has always
been taken to be either a long wait already experienced at a queue, or a long wait anticipated by a customer upon arrival.
In this paper we consider systems with servers vacations where customers’ impatience is due to an absentee of servers upon arrival. Such a model, representing frequent behavior by waiting customers in service systems, has never
been treated before in the literature. We present a comprehensive analysis of the single-server, M/M/1 and
M/G/1 queues, as well as of the multi-server M/M/c queue, for both the multiple and the single-vacation cases, and obtain various closed-form results. In particular, we show
that the proportion of customer abandonments under the single-vacation regime is smaller than that under the multiple-vacation
discipline.
This work was supported by the Euro-Ngi network of excellence. 相似文献
20.
Krzysztof Chełmiński 《Central European Journal of Mathematics》2003,1(4):670-689
This article defines and presents the mathematical analysis of a new class of models from the theory of inelastic deformations
of metals. This new class, containing so called convex composite models, enlarges the class containing monotone models of
gradient type defined in [1]. This paper starts to establish the existence theory for models from this new class; we restrict
our investigations to the coercive and linear self-controlling case. 相似文献