共查询到20条相似文献,搜索用时 46 毫秒
1.
P. Révész 《Journal of Theoretical Probability》1993,6(2):353-383
Let be a Poisson process on d of intensity and letW
1(t),W
2
(t),..., be a sequence of independent Wiener processes. LetW
i
(t)=X
i
+W
i
(t) whereX
1,X
2,..., are the points of . Consider the processess(t)=#{i:X
i
(t)1}. These and related processes are studied. 相似文献
2.
László Losonczi 《Aequationes Mathematicae》1997,53(1-2):141-154
Summary It is proved that, iff
ij:]0, 1[ C (i = 1, ,k;j = 1, ,l) are measurable, satisfy the equation (1) (with some functionsg
it, hjt:]0, 1[ C), then eachf
ij is in a linear space (called Euler space) spanned by the functionsx x
j(logx)
k
(x ]0, 1[;j = 1, ,M;k = 0, ,m
j – 1), where
1, , M are distinct complex numbers andm
1, , mM natural numbers. The dimension of this linear space is bounded by a linear function ofN. 相似文献
3.
Sam Gutmann 《Probability Theory and Related Fields》1981,57(3):339-347
Summary If
and
then P(n
–1·[(Y
1)++(Y
n
)] converges to cnts. law on R
1) = P(n
–1·[(Y
1)++(Y
n
)] converges to a cnts. law on R
1). Thus if
,n then n
–1[(X
1)+...+(X
n
)] converges a.s. The main result here generalizes this: Let X
(1)
n
, X
(2)
n
,..., X
(n)
n
be the order statistics associated with X
1, X
2,,X
n. Define random variables Z
1,Z
2, by {Z
n
=i}={X
n
=X
(i)
n
}. Then if Z
1,Z
2,Z
3, are independent and P(Zni)i/n, and {X
i} is bounded, n
–1·[(X
1)++(X
n)] converges a.s. 相似文献
4.
Summary
We say that a curve C in
P
3
has maximal rank if for every integer k the restriction map rc(k):H
0(P
3, OP3(k)) H0 (C, OC(k))has maximal rank. Here we prove the following results. Theorem 1Fix integers g, d with 0g3,dg+3.Fix a curve X of genus g and L Picd (X).If g=3and X is hyperelliptic, assume d8. Let L(X)be the image of X by the complete linear system H
0(X, L). Then a general projection of L(X)into
P
3
has maximal rank. Theorem 2For every integer g0,there exists an integer d(g, 3)such that for every dd(g, 3),for every smooth curve X of genus g and every LPicd (X) the general projection of L(X)into
P
3
has maximal rank. 相似文献
5.
Z. Füredi 《Discrete and Computational Geometry》1986,1(1):315-319
LetC
d
be the set of vertices of ad-dimensional cube,C
d
={(x
1, ...,x
d
):x
i
=±1}. Let us choose a randomn-element subsetA(n) ofC
d
. Here we prove that Prob (the origin belongs to the convA(2d+x2d))=(x)+o(1) ifx is fixed andd . That is, for an arbitrary>0 the convex hull of more than (2+)d vertices almost always contains 0 while the convex hull of less than (2-)d points almost always avoids it. 相似文献
6.
M. S. Sgibnev 《Mathematical Notes》1977,22(5):916-920
Let {n} be a sequence of identically distributed independent random variables,M1=<0,M
1
2
<;S
0=0,S
n
=1+2,+...+
n, n1;¯ S=sup {S
n
n=0.} The asymptotic behavior ofP(¯ St) as t is studied. If
t
P
(1x dx=0((t)), thenP(¯ St)– 1/¦¦
t
P (1x dx=0((t)) (t) is a positive function, having regular behavior at infinity.Translated from Matematicheskie Zametki, Vol. 22, No. 5, pp. 763–770, November, 1977.The author thanks B. A. Rogozin for the formulation of the problem and valuable remarks. 相似文献
7.
P. Gabriel L. A. Nazarova A. V. Roiter V. V. Sergeichuk D. Vossieck 《Ukrainian Mathematical Journal》1993,45(3):335-372
Assume thatB is a finite-dimensional algebra over an algebraically closed fieldk, B
d
=Spec k[(B
d
] is the affine algebraic scheme whoseR-points are theB k k[Bd]-module structures onR
d, and Md is a canonical Bk k[Bd]-module supported by k[Bd]d. Further, say that an affine subscheme of Bd isclass true if the functor Fgn X Md k[B] X induces an injection between the sets of isomorphism classes of indecomposable finite-dimensional modules over k[] andB. If Bd contains a class-true plane for somed, then the schemes Be contain class-true subschemes of arbitrary dimensions. Otherwise, each Bd contains a finite number of classtrue puncture straight linesL(d, i) such that for eachn, almost each indecomposableB-module of dimensionn is isomorphic to someF
L(d, i) (X); furthermore,F
L(d, i) (X) is not isomorphic toF
L(l, j) (Y) if(d, i) (l, j) andX 0. The proof uses a reduction to subspace problems, for which an inductive algorithm permits us to prove corresponding statements.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 3, pp. 313–352, March, 1993. 相似文献
8.
Shiqi Song 《应用数学学报(英文版)》1993,9(2):115-124
LetX be the solution of the SDE:dX
t = (X
t)dB
t +b(X
t)dt, with andb C
b
(R) such that >0 for some constant , andB a real Brownian motion. Let be the law ofX onE=C([0, 1],R) andk E* – {0}, whereE* is the topological dual space ofE. Consider the classical form:
k
(u, v)=u / kv / kd, whereu andv are smooth functions onE. We prove that, if
k
is closable for anyk in a dense subset ofE* and if the smooth functions are contained in the domain of the generator of the closure of
k
, must be a constant function. 相似文献
9.
Alan S. McRae 《Geometriae Dedicata》2001,84(1-3):321-330
If denotes the curvature and the torsion of a closed, generic, and oriented polygonal space curve X in
, then we show that
X
(2 + 2) ds =
X
ds +
X
| | ds > 4 if is positive. We also show that
X
(2 + 2) ds 2n if no four consecutive vertices lie in a plane and X has linking number n with a straight line. These extend theorems of Milnor and Totaro. 相似文献
10.
Harold Gabow 《Mathematical Programming》1976,10(1):271-276
LetB,B be bases of a matroid, withX B, X B. SetsX,X are asymmetric exchange if(B – X) X and(B – X) X are bases. SetsX,X are astrong serial B-exchange if there is a bijectionf: X X, where for any ordering of the elements ofX, sayx
i
,i = 1, , m, bases are formed by the sets B0 = B, Bi = (Bi–1 – xi) f(x
i), fori = 1, , m. Any symmetric exchangeX,X can be decomposed by partitioning X =
i=1
m
Yi, X =
i=1
m
Yi, X, where (1) bases are formed by the setsB
0 =B, B
i
= (B
i–1
–Y
i
) Y
i
; (2) setsY
i
,Y
i
are a strong serialB
i–1
-exchange; (3) properties analogous to (1) and (2) hold for baseB and setsY
i
,Y
i
. 相似文献
11.
Zenon Moszner 《Aequationes Mathematicae》1989,37(2-3):267-278
Résumé En généralisant un résultat de J. Aczél et M. Hosszú on donne des conditions nécessaires et suffisantes pour qu'une solution de l'équation de translationF(F(, x), y) = F(, xy), oùF: × G , est un ensemble arbitraire,G forme un groupe, soit de la formeF(, x) = f
–1(f()·1(x)), oùf est une bijection de au groupeG
1 isomorphe avecG et 1 est un homomorphisme deG àG
1. On considère aussi le cas oùG forme un espace vectoriel sur le corps des nombres rationels.Si est un intervalle ayant plus qu'un point etG = R
m
avec l'addition comme l'opération on trouve des conditions pour que la fonction continueF soit de la formeF(, x
1,, x
m
) =f
–1(f() + c
1
x
1 + +c
m
x
m
), oùf est une homéomorphie de àR et (c
1,,c
m
) R
m
.
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相似文献
12.
In-Suk Wee 《Probability Theory and Related Fields》1990,85(4):469-488
Summary Let {X
t
} be a 1 process with stationary independent increments and its Lévy measurev be given byv{yy>x}=x
–L
1
(x), v{yy<–x}=x
–L
2
(x) whereL
1,L
2 are slowly varying at 0 and and 0<1. We construct two types of a nondecreasing functionh(t) depending on 0<<1 or =1 such that lim inf
a.s. ast 0 andt for some positive finite constantC.This research is partialy supported by a grant from Korea University 相似文献
13.
For eachd1 there is a constantc
d>0 such that any finite setXR
d contains a subsetYX, |Y|[1/4d(d+3)]+1 having the following property: ifEY is an ellipsoid, then |E X|c
d |X|.On leave from the Mathematical Institute of the Hungarian Academy of Sciences, 1364 Budapest, P.O. Box 127, Hungary. Supported by a research fellowship from the Science and Engineering Research Council, U.K., and by Hungarian National Foundation for Scientific Research Grant No. 1812. 相似文献
14.
Hermann Thorisson 《Probability Theory and Related Fields》1988,78(1):143-148
Summary A random timeT is a future independent time for a Markov chain (X
n
)
0
ifT is independent of (X
T+n
)
n
/
=0 and if (X
T+n
)
n
/
=0 is a Markov chain with initial distribution and the same transition probabilities as (X
n
)
0
. This concept is used (with the conditional stationary measure) to give a new and short proof of the basic limit theorem of Markov chains, improving somewhat the result in the null-recurrent case.This work was supported by the Swedish Natural Science Research Council and done while the author was visiting the Department of Statistics, Stanford University 相似文献
15.
Vladimir V. Tkachuk 《Acta Mathematica Hungarica》2005,107(4):253-265
Summary We prove that, for any Tychonoff X, the space Cp(X) is K-analytic if and only if it has a compact cover {Kp: p } such that Kp subset Kq whenever p,q and p q. Applying this result we show that if Cp(X) is K-analytic then Cp(X) is K-analytic as well. We also establish that a space Cp(X) is K-analytic and Baire if and only if X is countable and discrete. 相似文献
16.
For two-dimensional toric varieties X, an analog of the Fubini–Studi form 0 is constructed together with the canonical form 0 that is the kernel of an integral representation for holomorphic functions in d-circular domains in C
d connected with two-dimensional toric varieties X. This kernel is shown to be a closed differential form in C
d defining the associated positive form 0 on X. 相似文献
17.
LetX
1,X
2,... be a time-homogeneous {0, 1}-valued Markov chain. LetF
0 be the event thatl runs of 0 of lengthr occur and letF
1 be the event thatm runs of 1 of lengthk occur in the sequenceX
1,X
2, ... We obtained the recurrence relations of the probability generating functions of the distributions of the waiting time for the sooner and later occurring events betweenF
0 andF
1 by the non-overlapping way of counting and overlapping way of counting. We also obtained the recurrence relations of the probability generating functions of the distributions of the sooner and later waiting time by the non-overlapping way of counting of 0-runs of lengthr or more and 1-runs of lengthk or more. 相似文献
18.
Klaus-Jürgen Eckardt 《manuscripta mathematica》1976,18(1):43-55
The problem of existence of wave operators for the Klein-Gordon equation (
t
2
–+2+iV1t+V2)u(x,t)=0 (x R
n,t R, n3, >0) is studied where V1 and V2 are symmetric operators in L2(R
n) and it is shown that conditions similar to those of Veseli-Weidmann (Journal Functional Analysis 17, 61–77 (1974)) for a different class of operators are also sufficient for the Klein-Gordon equation. 相似文献
19.
In the literature (see [5, 6, 8]) there are two families of spaces called Kondratiev spaces: (c)± and (S
c)± for 0 1. We investigate the relation between the spaces and show that they are topologically isomorphic when (d) L2 (d) (d) is the underlying Gel'fand triple for (c)±. In this case we also give the explicit relation between the S-transform and -transform on (c)-1 and (S
c)-1, respectively. 相似文献
20.
Michel Sebille 《Designs, Codes and Cryptography》2001,22(3):215-219
In 1987, Teirlinckproved that if t and are two integers such that v t(mod(t + 1)!(2t+1) and v t + 1 >0, then there exists a t - (v, t + 1, (t + 1)!(2t+1)) design. We prove that if there exists a (t+1)-(v,k,)design and a t-(v-1,k-2, (k-t-1)/(v-k+1))design with t 2, then there exists a t-(v+1,k, (v-t+1)(v-t)/
(v-k+1)(k-t))design. Using this recursive construction, we prove that forany pair (t,n) of integers (t 2and n 0), there exists a simple non trivial t-(v,k,) design having an automorphism groupisomorphic to n
2. 相似文献