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1.
Gert -Martin Greuel 《manuscripta mathematica》1986,56(2):159-166
We show that for certain topologically trivial deformations of an isolated hypersurface singularity the multiplicity does not change. This applies to all -constant first order deformations and to all -constant deformations of a quasihomogeneous singularity.Partially supported by the Deutsche Forschungsgemeinschaft and the National Science Foundation 相似文献
2.
LetX,X
1,X
2,... be i.i.d. random vectors in d. The limit laws that can arise by suitable affine normalizations of the partial sums,S
n=X
1+...+X
n, are calledoperator-stable laws. These laws are a natural extension to
d
of the stable laws on. Thegeneralized domain of attraction of [GDOA()] is comprised of all random vectorsX whose partial sums can be affinely normalized to converge to . If the linear part of the affine transformation is restricted to take the formn
–B for some exponent operatorB naturally associated to thenX is in thegeneralized domain of normal attraction of [GDONA()]. This paper extends the theory of operator-stable laws and their domains of attraction and normal attraction. 相似文献
3.
Let be a probability measure on n 2 × 2 stochastic matrices, n an arbitrary positive integer, and = (w) lim
n
n
, such that the support of consists of 2 × 2 stochastic matrices of rank one, and as such, can be regarded as a probability measure on [0, 1]. We present simple sufficient conditions for to be continuous singular w.r.t. the Lebesgue measure on [0, 1]. We also determine , given . 相似文献
4.
In this note, we characterize the regular probability measures satisfying the Choquet-Deny convolution equation =* on Abelian topological semigroups for a given probability measure . 相似文献
5.
Summary We describe a large class of one-parameter families , {}, , of two-dimensional diffeomorphisms which arestable for <0, exhibit acycle for =0, and thereafter have a bifurcation set of positive but arbitrarily smallrelative measure for in small intervals [0, ]. A main assumption is that the basic sets involved in the cycle havelimit capacities that are not too large.The second author acknowledges hospitality and financial support from IMPA/CNPq during the period this paper was prepared 相似文献
6.
E. A. Riss 《Journal of Mathematical Sciences》1992,61(1):1907-1911
The fundamental result: if and v are two finite Borel measures, defined in the spaceL
p[0, 1] (1p<) or in C(K) (K is a metric compactum without isolated points), then from the equalities (B)=v(B) for all balls B of radius 1 there follows that =v. In addition, in the spaces C(K) and p (1p<) from the inequalities (B) v(B) there follows that v.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 177, pp. 122–128, 1989. 相似文献
7.
Let be a fixed point free group given by the presentation
where and are relative prime numbers, t = /s and s = gcd( – 1,), and is the order of modulo . We prove that if (1) = 2, and (2) is embeddable into the multiplicative group of some skew field, then is circular. This means that there is some additive group N on which acts fixed point freely, and |((a)+b)((c)+d)| 2 whenever a,b,c,d N, a0c, are such that (a)+b(c)+d. 相似文献
8.
We study the limiting behavior of the weighted central paths{(x(), s())}
> 0 in linear programming at both = 0 and = . We establish the existence of a partition (B
,N
) of the index set { 1, ,n } such thatx
i() ands
j
() as fori B
, andj N
, andx
N (),s
B () converge to weighted analytic centers of certain polytopes. For allk 1, we show that thekth order derivativesx
(k)
() ands
(k)
() converge when 0 and . Consequently, the derivatives of each order are bounded in the interval (0, ). We calculate the limiting derivatives explicitly, and establish the surprising result that all higher order derivatives (k 2) converge to zero when . 相似文献
9.
M. Akkouchi 《Periodica Mathematica Hungarica》1994,29(2):127-136
Let be a Guelfand measure (cf. [A, B]) on a locally compact groupG DenoteL
1
(G)=*L
1(G)* the commutative Banach algebra associated to . We show thatL
1
(G) is semi-simple and give a characterization of the closed ideals ofL
1
(G). Using the -spherical Fourier transform, we characterize all linear bounded operators inL
1
(G) which are invariants by -translations (i.e. such that
1((
x
f)
)=(
x
((f))
for eachxG andfL
1
(G); where
x
f(y)=f(xy); x,y G). WhenG is compact, we study the algebraL
1
(G) and obtain results analogous to ones obtained for the commutative case: we show thatL
1
(G) is regular, all closed sets of its Guelfand spectrum are sets of synthesis and establish theorems of harmonic synthesis for functions inL
p
(G) (p=1,2 or +). 相似文献
10.
V. N. Sudakov 《Mathematical Notes》1973,14(4):886-888
Let X and Y be locally compact-compact topological spaces, F X×Y is closed, and P(F) is the set of all Borel probability measures on F. For us to find, for the pair of probability measures (x, y P (X)×P(Y), a probability measure P(F) such that
X
=
X
–1
,
Y
=
Y
–1
it is necessary and sufficient that, for any pair of Borel sets A X, B Y for which (A× B) F=Ø, the condition
XA+
YB 1 holds.Translated from Matematicheskie Zametki, Vol. 14, No. 4, pp. 573–576, October, 1973. 相似文献
11.
We obtain the analytic expression for the total cross section of the reaction e
–
e
+l
–
l
+ (l=,) taking possible quasianapole interaction effects into account. We find numerical restrictions on the interaction parameter value from data for the reaction e
–
e
+–+ in the energy domain below the Z
0 peak. 相似文献
12.
13.
We study the Hermite transform onL
2() where is a Gaussian measure on a Lusin locally convex spaceE. We are then lead to a Hilbert space () of analytic functions onE which is also a natural range for the Laplace transform. LetB be a convenient Hilbert-Schmidt operator on the Cameron-Martin spaceH of . There exists a natural sequence Cap
n
of capacities onE associated toB. This implies the Kondratev-Yokoi theorem about positive linear forms on the Hida test-functions space. 相似文献
14.
Greg Budzban 《Journal of Theoretical Probability》1994,7(3):635-646
Given a sequence of probability measures (
n
) on a finite abelian semigroup, we present necessary and sufficient conditions which guarantee the weak convergence of the convolution products
k,n
k+1*···*
n
(k<n), asn for allk0. These conditions are verifiable in the sense that they are based entirely on the individual measures in the sequence (
n
). 相似文献
15.
L. Overbeck 《Probability Theory and Related Fields》1993,96(4):545-570
Summary We investigate classes of conditioned super-Brownian motions, namely H-transformsP
H
with non-negative finitely-based space-time harmonic functionsH(t, ). We prove thatH
H
is the unique solution of a martingale problem with interaction and is a weak limit of a sequence of rescaled interacting branching Brownian motions. We identify the limit behaviour of H-transforms with functionsH(t, )=h(t, (1)) depending only on the total mass (1). Using the Palm measures of the super-Brownian motion we describe for an additive spacetime harmonic functionH(t, )=h(t, x) (dx) theH-transformP
H
as a conditioned super-Brownian motion in which an immortal particle moves like an h-transform of Brownian motion. 相似文献
16.
Summary Real hypersurfaces of an almost Hermitian manifold naturally admit an almost contact metric structure and the (f, g, u, v, w, , , )-structure is defined on submanifolds of codimension 3 of an almost Hermitian manifold. We study the so-called semi-invariant submanifolds of a complex space form with almost contact metric compound structure which is a general notion of (f, g, u, v, w, , , )-structure.Dedicated to professor Eulyong Pak on his 60th birthdayThis research was partially supported by Korean Science and Engineering Foundation Grant. 相似文献
17.
F. Barthe 《Journal of Theoretical Probability》2004,17(2):293-308
We study the isoperimetric problem for product probability measures with respect to the uniform enlargement. We construct several examples of measures for which the isoperimetric function of coincides with the one of the infinite product
. This completes earlier works by Bobkov and Houdré. 相似文献
18.
Tassilo Küpper 《manuscripta mathematica》1978,26(3):259-291
For a linear fourth order ordinary differential operator M we study Range Domain Implications (RDI). Let Co [O,1] be positive; we show under what conditions there exists a CO[O,1] such that the following RDI holds: Mu(x) (x) (0x1) u(x) (0x1). In particular we provide a numerical procedure to calculate .RDI are used to obtain error estimations and to solve related nonlinear problems.The basic idea to prove RDI is to split M into a product of second order differential operators which are easier to handle. For the general case that there exists no global splitting the concept of a local splitting is introduced.
The author would like to thank the European Research Office of the United States Army for their kind interest. 相似文献
The author would like to thank the European Research Office of the United States Army for their kind interest. 相似文献
19.
We consider multistep discretizations, stabilized by -blocking, for Euler-Lagrange DAEs of index 2. Thus we may use nonstiff multistep methods with an appropriate stabilizing difference correction applied to the Lagrangian multiplier term. We show that orderp =k + 1 can be achieved for the differential variables with orderp =k for the Lagrangian multiplier fork-step difference corrected BDF methods as well as for low orderk-step Adams-Moulton methods. This approach is related to the recently proposed half-explicit Runge-Kutta methods. 相似文献
20.
Y. Yavin 《Journal of Optimization Theory and Applications》1984,44(1):159-179
Consider the random motion in the plane of a pointM, whose velocityv=(v
1,v
2) is perturbed by an 2-valued Gaussian white noise. Only noisy nonlinear observations taken on the point location (state) are available toM. The velocityv is of the formv(y)=
u
(u
1,u
2)
y
(du), wherey denotes the value of the observed signal,U is the range of the velocity, and, for eachy,
y
is a probability measure on (U). Using the available observations, the pointM wishes to steer itself into a given target set by choosing a randomized strategy ={
y
:y 2}. Sufficient conditions on weak optimal randomized strategies are derived. An algorithm for computing weak suboptimal randomized strategies is suggested, and the strategies are computed for a variety of cases.This work was partially supported by a grant from Control Data. 相似文献