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1.
Let (
t
)
t0 be a -semistable convolution semigroup of probability measures on a Lie groupG whose idempotent
0 is the Haar measure on some compact subgroupK. Then all the measures
1
are supported by theK-contraction groupC
K() of the topological automorphism ofG. We prove here the structure theoremC
K()=C()K, whereC() is the contraction group of . Then it turns out that it is sufficient to study semistable convolution semigroups on simply connected nilpotent Lie groups that have Lie algebras with a positive graduation. 相似文献
2.
Erxiong Jiang 《Annals of Operations Research》2001,103(1-4):315-327
Let T
n
be an n×n unreduced symmetric tridiagonal matrix with eigenvalues 1<2<<
n
and W
k
is an (n–1)×(n–1) submatrix by deleting the kth row and the kth column from T
n
, k=1,2,...,n. Let 12
n–1 be the eigenvalues of W
k
. It is proved that if W
k
has no multiple eigenvalue, then 1<1<2<2<<
n–1<
n–1<
n
; otherwise if
i
=
i+1 is a multiple eigenvalue of W
k
, then the above relationship still holds except that the inequality
i
<
i+1<
i+1 is replaced by
i
=
i+1=
i+1. 相似文献
3.
A typical result of the paper states that if X is a Banach space with a basis and for some 1pq, the spaces p and q are finitely block representable in every block subspace of X, then every block subspace of X admits a block quotient Z such that for every r[p,q], the space r is finitely block representable in Z. Results of a similar nature are also established for N
p-block-sequences and asymptotic spaces. 相似文献
4.
Für homogene M.K., bestehend aus einer aperiodischen rekurrenten Klasse, ist bekannt, da\ die terminale -Algebra das 0–1-Gesetz erfüllt. Der erste Teil dieser Arbeit behandelt die Gültigkeit des 0–1-Gesetzes für transiente Ketten, für die eine Folge
0,
1,
2,
3,... von ZustÄnden existiert mit P(nXn=
l+1¦X0=
l) = 1, N. Das herzuleitende Kriterium wird nur von dieser Folge und den Stoppzeiten, von
l nach
l+1 zu gelangen, abhÄngen. Eine Anwendung auf Harrisirrfahrten wird uns dort konkrete Aussagen liefern. 相似文献
5.
We show that a strong form of the so called Lindströms Theorem [4] fails to generalize to extensions of L and L : For weakly compact there is no strongest extension of L with the (,)-compactness property and the Löwenheim-Skolem theorem down to . With an additional set-theoretic assumption, there is no strongest extension of L with the (,)-compactness property and the Löwenheim-Skolem theorem down to <.We are indebted to Lauri Hella, Tapani Hyttinen and Kerkko Luosto for useful suggestions.Research partially supported by the United States-Israel Binational Science Foundation. Publication number [ShVa:726]Research partially supported by grant 40734 of the Academy of Finland. 相似文献
6.
李润泽 《应用数学学报(英文版)》1997,13(1):64-70
ThisresearchissupportedbytheChineseAcademyofSciences.1.IntroductionTherearemailypublicatiollsonmatrixvariatedistributions(ormatrixdistributionforsimplicity),inparticular,abollttheirexpectedvaluesofzonalpolynomialsoftheirquadraticforms(of.[12],[151,[171and… 相似文献
7.
Kurt Wolfsdorf 《Archive for Mathematical Logic》1980,20(3-4):161-171
1. If is a weakly compact cardinal then (
+)( ). 2. If is measurable andU a normal ultrafilter then (
+)(U ).
Diese Arbeit ist ein Teil der Dissertation des Autors. Teilweise gefördert von der DFG. 相似文献
Diese Arbeit ist ein Teil der Dissertation des Autors. Teilweise gefördert von der DFG. 相似文献
8.
Yoko Watamori 《Annals of the Institute of Statistical Mathematics》1992,44(1):147-156
This paper deals with Watson statistic T
w
and likelihood ratio (LR) statistic T
l
for testing hypothesis H
0s: V (a given s-dimensional subspace) based on a sample of size n from a p-variate Langevin distribution M
p(, ). Asymptotic expansions of the null and non-null distributions of T
w
and T
l
are obtained when n is large. Asymptotic expressions of those powers are also obtained. It is shown that the powers of them are coincident up to the order n
-1 when is unknown. 相似文献
9.
Arthur W. Apter 《Archive for Mathematical Logic》2005,44(3):387-395
We force and construct a model in which level by level equivalence between strong compactness and supercompactness holds, along with certain additional combinatorial properties. In particular, in this model, holds for every regular uncountable cardinal , and below the least supercompact cardinal , holds on a stationary subset of . There are no restrictions in our model on the structure of the class of supercompact cardinals.The author wishes to thank the referee for numerous helpful comments and suggestions, which have considerably improved the presentation of the material contained herein. The author also wishes to thank Andreas Blass, the corresponding editor, for a useful suggestion, and Grigor Sargsyan for a very helpful conversation on the subject matter of this paper.Mathematics Subject Classification (2000): 03E35, 03E55 相似文献
10.
G. Ramharter 《Acta Mathematica Hungarica》2000,88(4):331-340
Given any (non-degenerate) n-dimensional lattice L, let (L) denote the supremum of the numbers such that there exists a lattice packing Q + L of density where Q is some o-symmetric parallelepiped with faces parallel to the coordinate axes. Many efforts have been made to determine or estimate the minimal such density
n
taken over all n-dimensional lattices. It is known that
0$$
" align="middle" border="0">
. Here we investigate a sequence of lattices L
n
which are known to minimize the function (L) in dimensions n 3 and are likely to provide the minima
n
= (L
n
) in certain higher dimensions. We establish the inequality (L
n
) n
–n/2 which supports the conjecture that lim sup
n (
n
)1/(n log n) is positive. 相似文献
11.
Miloš S. Kurilić 《Archive for Mathematical Logic》2005,44(4):499-512
Let be a regular cardinal and P a partial ordering preserving the regularity of . If P is (-Baire and) of density , then there is a mad family on killed in all generic extensions (if and) only if below each pP there exists a -sized antichain. In this case a mad family on is killed (if and) only if there exists an injection from onto a dense subset of Ult(P) mapping the elements of onto nowhere dense sets. If 2<=, then in each generic extension of V, in which is the minimal cardinal obtaining new subsets, some mad family on is killed or an independent subset of appears. Also, the -Suslin Hypothesis holds iff there exists a mad family on which is killed in each generic extension containing new subsets of and preserving P() for <.Mathematics Subject Classification (2000): 03E35, 03E40, 03E65 相似文献
12.
We establish a 2-categorical duality involving the 2-category A
of all -accessible categories with wide pullbacks, also known as locally -polypresentable categories, and of functors preserving -filtered colimits and wide pullbacks. Commutation of wide pullbacks with so-called quasi-coproducts in Set is the basic ingredient to this duality, which leads to a full characterization of categories of type Wdpb Filt (A, Set)=A
The first author acknowledges financial assistance from a special research grant of the Faculty of Arts at York University. The second author is partially supported by an NSERC operating grant.Presented at the European Colloquium of Category Theory, Tours, France, 25–31 July 1994. 相似文献
13.
Peter Koepke 《Archive for Mathematical Logic》1989,28(1):43-55
We give a proof ofTheorem 1.
Let be the smallest cardinal such that the free subset property Fr
(,
1)holds. Assume is singular. Then there is an inner model with 1
measurable cardinals. 相似文献
14.
Wenzhi Sun 《Archive for Mathematical Logic》1993,32(6):429-442
Summary This paper will define a new cardinal called aStationary Cardinal. We will show that every weakly
1
1
-indescribable cardinal is a stationary cardinal, every stationary cardinal is a greatly Mahlo cardinal and every stationary set of a stationary cardinal reflects. On the other hand, the existence of such a cardinal is independent of that of a
1
1
-indescribable cardinal and the existence of a cardinal such that every stationary set reflects is also independent of that of a stationary cardinal. As applications, we will show thatV=L implies
1
holds if is
1
1
-indescribable and so forth. 相似文献
15.
In this paper we first show that if X is a Banach space and is a left invariant crossnorm on lX, then there is a Banach lattice L and an isometric embedding J of X into L, so that I J becomes an isometry of lX onto lm J(X). Here I denotes the identity operator on l and lm J(X) the canonical lattice tensor product. This result is originally due to G. Pisier (unpublished), but our proof is different. We then use this to prove the main results which characterize the Gordon–Lewis property GL and related structures in terms of embeddings into Banach lattices. 相似文献
16.
The purpose of this paper is to study coproducts in the category MFrm (resp. McFrm), of metric -frames and uniform (resp. contractive) -frame maps. First, by applying the same technic that was used to find coproducts in Frm, we construct coproducts in the category Frm of -frames and -frame maps. Then, we define a metric diameter on the coproduct in Frm of a family of metric -frames and show that coproduct in Frm preserves metrizability.Mathematics Subject Classifications (2000) 06B23, 06D22, 18A30. 相似文献
17.
Richard Sowers 《Probability Theory and Related Fields》1992,92(3):393-421
Summary In this paper we establish a large deviations principle for the invariant measure of the non-Gaussian stochastic partial differential equation (SPDE)
t
v
=v
+f(x,v
)+(x,v
)
. Here is a strongly-elliptic second-order operator with constant coefficients, h:=DH
xx-h, and the space variablex takes values on the unit circleS
1. The functionsf and are of sufficient regularity to ensure existence and uniqueness of a solution of the stochastic PDE, and in particular we require that 0<mM wherem andM are some finite positive constants. The perturbationW is a Brownian sheet. It is well-known that under some simple assumptions, the solutionv
2 is aC
k
(S
1)-valued Markov process for each 0<1/2, whereC
(S
1) is the Banach space of real-valued continuous functions onS
1 which are Hölder-continuous of exponent . We prove, under some further natural assumptions onf and which imply that the zero element ofC
(S
1) is a globally exponentially stable critical point of the unperturbed equation
t
0 = 0 +f(x,0), that has a unique stationary distributionv
K,
on (C
(S
1), (C
K
(S
1))) when the perturbation parameter is small enough. Some further calculations show that as tends to zero,v
K,
tends tov
K,0, the point mass centered on the zero element ofC
(S
1). The main goal of this paper is to show that in factv
K,
is governed by a large deviations principle (LDP). Our starting point in establishing the LDP forv
K,
is the LDP for the process , which has been shown in an earlier paper. Our methods of deriving the LDP forv
K,
based on the LDP for are slightly non-standard compared to the corresponding proofs for finite-dimensional stochastic differential equations, since the state spaceC
(S
1) is inherently infinite-dimensional.This work was performed while the author was with the Department of Mathematics, University of Maryland, College Park, MD 20742, USA 相似文献
18.
On graphs that can be oriented as diagrams of ordered sets 总被引:1,自引:0,他引:1
Oliver Pretzel 《Order》1985,2(1):25-40
We study some equivalent and necessary conditions for a finite graph to be the covering graph of a (partially) ordered set. For each 1, M. Aigner and G. Prins have introduced a notion of a vertex colouring, here called -good colouring, such that a 1-good colouring is the usual concept and graphs that have a 2-good colouring are precisely covering graphs. We present some inequalities for the corresponding chromatic numbers , especially for x
2. There exist graphs that satisfy these inequalities for =2 but are not covering graphs. We show also that x
2 cannot be bounded by a function of x=x
1. A construction of Neetil and Rödl is used to show that x
2 is not bounded by a function of the girth. 相似文献
19.
Stephan Ruscheweyh 《Numerische Mathematik》1984,45(2):227-240
Summary Given a complex polynomialp we determine a functionf
p
: such that |p(f
p
(z))||p(z)|,z withk<1. This result is used to introduce a global root-finding algorithm for polynomials. 相似文献
20.
We demonstrate that the phase space of the Cauchy–Dirichlet problem for the equation u
t
-u
t
=u-K(u)+f is a simple Banach C
-manifold. 相似文献