共查询到20条相似文献,搜索用时 31 毫秒
1.
Summary Consider a Wiener process {W(t),t0}, letM(t)=max |W(s)| andv(t) be the location of the maximum of the absolute value of
in [0,t] i.e.|W(v(t))|=M(t). We study the limit points of (
t
M(t),
t
v(t)) ast where
t
and
t
are positive, decreasing normalizing constants. Moreover, a lim inf result is proved for the length of the longest flat interval ofM(t).Research supported by Hungarian National Foundation for Scientific Research Grant n. 1808 相似文献
2.
Summary LetB=(B
t,t0) be a planar Brownian motion and let >0. For anyt0, the pointz=B
t is called a one-sided cone point with angle if there exist >0 and a wedgeW(,z) with vertexz and angle such thatB
sW(,z) for everys[t, t+]. Burdzy and Shimura have shown independently that one-sided cone points with angle exist when >/2 but not when 2. The present paper deals with the critical case =/2. We show that cone points with angle /2 do not exist. 相似文献
3.
Elena Prestini 《Monatshefte für Mathematik》1984,97(3):213-217
We consider in
n
,n2, the curve
= (t,t
2
,...,t
n
), 0t0,0>0 a small number. We study the boundedness of operatorsT
,>0, defined by multipliers which present singularities along
. Our results are derived from a sharp estimate on a suitable maximal function. In the casen=2 theT
's are Bochner-Riesz operators and our results coincide with the known ones. 相似文献
4.
Kenneth Palmer Daniel Stoffer 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1989,40(4):592-602
Let
be an almost periodic differential equation with a hyperbolic almost periodic solutionu(t) and another hyperbolic solutionv(t) satisfying ¦v(t)–u(t)¦0 as ¦t¦. It is shown that the solutions of such an equation exhibit chaotic behavior.
Zusammenfassung Sei eine fastperiodische Differentialgleichung mit einer fastperiodischen hyperbolischen Lösungu(t) und seiv(t) eine weitere hyperbolische Lösung für welche ¦v(t)–u(t)¦0 für ¦t¦. Es wird gezeigt, daß die Differentialgleichung unter diesen Bedingungen chaotisches Verhalten aufweist.相似文献
5.
We establish a criterion for the existence of a solution of the interpolation problem f(
n
) = b
n in the class of functions f analytic in the unit disk and satisfying the relation
where : [1; +) (0; +) is an increasing function such that the function ln(t) is convex with respect to lnt on the interval [1; +) and lnt = o(ln(t)), t . 相似文献
6.
Qi-Man Shao 《Probability Theory and Related Fields》1992,94(1):119-133
Summary Let {X(t),t 0} be a stationary Gaussian process withEX(t)=0,EX
2(t)=1 and covariance function satisfying (i)r(t) = 1 2212;C |t | + o (|t|)ast0 for someC>0, 0<2; (ii)r(t)=0(t
–2) as t for some >0 and (iii) supts|r(t)|<1 for eachs>0. Put (t)= sup {s:0 s t,X(s) (2logs)1/2}. The law of the iterated logarithm implies
a.s. This paper gives the lower bound of (t) and obtains an Erds-Rèvèsz type LIL, i.e.,
a.s. if 0<<2 and
. Applications to infinite series of independent Ornstein-Uhlenbeck processes and to fractional Wiener processes are also given.Research supported by the Fok Yingtung Education Foundation of China and by Charles Phelps Taft Postdoctoral Fellowship of the University of Cincinnati 相似文献
7.
B. Bajnok and S. Shahriari proved that in 2[n], the Boolean lattice of order n, the width (the maximum size of an antichain) of a non-trivial cutset (a collection of subsets that meets every maximal chain and does not contain or [n]) is at least n-1. We prove that, for n5, in the Boolean lattice of order n, given
-1 disjoint long chains, we can enlarge the collection to a cutset of width n-1. However, there exists a collection of
long chains that cannot be so extended. 相似文献
8.
Summary Let be a centered Gaussian measure on a Hilbert spaceH and let
be the centered ball of radiusR>0. ForaH and
, we give the exact asymptotics of (B
R(t)+t·a) ast. Also, upper and lower bounds are given when is defined on an arbitrary separable Banach space. Our results range from small deviation estimates to large deviation estimates.Supported in part by NSF grant number DMS-9024961 相似文献
9.
E. B. Dynkin 《Probability Theory and Related Fields》1991,90(1):1-36
Summary A superprocessX over a Markov process can be obtained by a passage to the limit from a branching particle system for which describes the motion of individual particles.The historical process
for is the process whose state at timet is the path of over time interval [0,t]. The superprocess
over
the historical superprocess over —reflects not only the particle distribution at any fixed time but also the structure of family trees. The principal property of a historical process
is that
is a function of
for alls<t. Every process with this property is calleda path process. We develop a theory of superprocesses over path processes whose core is the integration with respect to measure-functionals. By applying this theory to historical superprocesses we construct the first hitting distributions and prove a special Markov property for superprocesses.Partially supported by National Science Foundation Grant DMS-8802667 相似文献
10.
All finite fields
q (q 2, 3, 4, 5, 7, 9, 13, 25, 121) contain a primitive element for which + 1/ is also primitive. All fields of square order
q
2 (q 3, 5) contain an element of order q + 1 for which + 1/ is a primitive element of the subfield
q. These are unconditional versions of general asymptotic results. 相似文献
11.
D. V. Millionshchikov 《Mathematical Notes》2005,77(1-2):61-71
The cohomology H* (G/,) of the de Rham complex *(G/) of a compact solvmanifold G/ with deformed differential d = d + , where is a closed 1 -form, is studied. Such cohomologies naturally arise in Morse-Novikov theory. It is shown that, for any completely solvable Lie group G containing a cocompact lattice G, the cohomology H*(G/, ) is isomorphic to the cohomology H*(
) of the tangent Lie algebra
of the group G with coefficients in the one-dimensional representation :
defined by () = (). Moreover, the cohomology H
*(G/,) is nontrivial if and only if -[] belongs to a finite subset
of H
1(G/,) defined in terms of the Lie algebra
.Translated from Matematicheskie Zametki, vol. 77, no. 1, 2005, pp. 67–79.Original Russian Text Copyright © 2005 by D. V. Millionshchikov.This revised version was published online in April 2005 with a corrected issue number. 相似文献
12.
Considering mixed-norm sequence spaces lp,q, p, q 1, C. N. Kellogg proved the following theorem: if 1 < p 2 then
lp,2 and lp,2
, where 1/p + 1/p = 1. This result extends the Hausdorff-Young Theorem.We introduce here multiple mixed-norm sequence spaces
, examine their properties and characterize the multipliers of spaces of the form lp,[s;n],q, with the index s repeated n times. By an interpolation-type argument we prove that
(l,[2;n],2, lp,[1;n],1) for 1 < p 2. Using these results we obtain a further generalization of the Hausdorff-Young Theorem: if 1 < p 2 then
lp,[2;n] and lp,[2;n]
for each n = 0, 1, 2, ¨. The spaces lp,[2;n] decrease and lp,[2;n] increase properly with n for 1 < p < 2 and 1/p + 1/p = 1. We also extend a theorem of J. H. Hedlund on multiplers of Hardy spaces
and deduce other results. 相似文献
13.
F. H. Simons 《Probability Theory and Related Fields》1970,15(3):177-179
Summary In [1], an example was given of a measure-preserving dissipative transformation T in a -finite measure space (X, , ), such that T is conservative in the measure space (X, , ) where
. Here we shall show that for this transformation we actually have R
={ØX}[]. 相似文献
14.
Ishay Weissman 《Probability Theory and Related Fields》1976,37(1):35-41
Let be an Euclidean space; Y
n
, Z, U random vectors in ; h
n
, g
n
affine transformations and let þ be a subgroup of the group G of all the in vertible affine transformations, closed relative to G. Suppose that gn
and
where Z is nonsingular. The behaviour of
n
= h
n
g
n
–1
as n is discussed first. The results are used then to prove that if
for all t(0, ), where h
n
þ and Z
1 is nonsingular and nonsymmetric with respect to þ then
H,
for all t(0,) and is a continuous homomorphism of the multiplicative group of (0, ) into þ. The explicit forms of the possible are shown. 相似文献
15.
Zusammenfassung Es wird die Fortpflanzung elastisch-plastischer Spannungswellen in einem unendlichen Medium betrachtet, welches einer idealen Spannungs-Verformungs-Kurve folgt, Trescas Fliesskriterium unterworfen ist und einen sphärischen Hohlraum enthält, wobei an der Fläche des Hohlraumes ein Stoss
angenommen wird. Ein rechnerisches Verfahren, basiert auf endliche Differenzen, wird entwickelt and ein Beispiel gegeben.
Notation radial stress - tangential stress - K yield stress - rr non-dimensional radial stress ( /K) - non-dimensional tangential stress ( /K) - , Lame's constants - K b Bulk constant (=(3+2)/3) - v Poisson's constant - Material density - C Elastic wave velocity (=((+2)/)1/2) - C p Plastic wave velocity (=(K b /)1/2) - distance from center of cavity - r 0 cavity radius - v non-dimensional radial co-ordinate (= /r 0) - time - t non-dimensional time (=C /r 0) - radial displacement - u non-dimensional radial displacement (=/r 0) - particle velocity - v non-dimensional particle velocity (= /C) - pressure - P(t) non-dimensional pressure (= /K) 相似文献
Notation radial stress - tangential stress - K yield stress - rr non-dimensional radial stress ( /K) - non-dimensional tangential stress ( /K) - , Lame's constants - K b Bulk constant (=(3+2)/3) - v Poisson's constant - Material density - C Elastic wave velocity (=((+2)/)1/2) - C p Plastic wave velocity (=(K b /)1/2) - distance from center of cavity - r 0 cavity radius - v non-dimensional radial co-ordinate (= /r 0) - time - t non-dimensional time (=C /r 0) - radial displacement - u non-dimensional radial displacement (=/r 0) - particle velocity - v non-dimensional particle velocity (= /C) - pressure - P(t) non-dimensional pressure (= /K) 相似文献
16.
Stuart A. Steinberg 《Czechoslovak Mathematical Journal》2001,51(2):387-394
In an -group M with an appropriate operator set it is shown that the -value set (M) can be embedded in the value set (M). This embedding is an isomorphism if and only if each convex -subgroup is an -subgroup. If (M) has a.c.c. and M is either representable or finitely valued, then the two value sets are identical. More generally, these results hold for two related operator sets 1 and 2 and the corresponding -value sets
and
. If R is a unital -ring, then each unital -module over R is an f-module and has
exactly when R is an f-ring in which 1 is a strong order unit. 相似文献
17.
Michael B. Marcus 《Journal of Theoretical Probability》2001,14(3):867-885
Let X be a symmetric Lévy process with
Let
Assume that () is regularly varying at zero with index 1<2 and (1/()) I
[1]L
1(R). (x) is increasing on [0, )Let L
x
t
denote the local time of X at x up to time t. Following The most visited sites of symmetric stable processes, by Bass, Eisenbaum, and Shi, let V(t) be such that L
V(t)
t
=sup
xR
L
x
t
. We call V(t) the most visited site of X up to time t. We show that under the above conditions on X,V(t) is transient. In particular, for all >9
This result is obtained for symmetric stable processes in the above reference. We use their approach and many of their methods. 相似文献
18.
Jonathan Eckstein Peter L. Hammer Ying Liu Mikhail Nediak Bruno Simeone 《Computational Optimization and Applications》2002,23(3):285-298
Given two finite sets of points X
+ and X
– in
n
, the maximum box problem consists of finding an interval (box) B = {x : l x u} such that B X
– = , and the cardinality of B X
+ is maximized. A simple generalization can be obtained by instead maximizing a weighted sum of the elements of B X
+. While polynomial for any fixed n, the maximum box problem is
-hard in general. We construct an efficient branch-and-bound algorithm for this problem and apply it to a standard problem in data analysis. We test this method on nine data sets, seven of which are drawn from the UCI standard machine learning repository. 相似文献
19.
Andrea Laforgia Martin E. Muldoon 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1988,39(2):267-271
Summary We show, among other things, that the positive zeros of a solution ofy
+x
y=0,y(0)=0 decrease to 1 as increases, 0.
To the memory of Milo Háik
This research was supported by grants from the Natural Sciences and Engineering Research Council (Canada) and Consiglio Nazionale delle Ricerche (Italy). Some of the work was done while the second-named author was visiting the Department of Mathematics, University of Torino. 相似文献
Sommario Si dimostra, tra l'altro, che gli zeri positivi d'una soiuzione diy +x y=0,y(0)=0 decrescono al limite 1, quando cresce, 0.
To the memory of Milo Háik
This research was supported by grants from the Natural Sciences and Engineering Research Council (Canada) and Consiglio Nazionale delle Ricerche (Italy). Some of the work was done while the second-named author was visiting the Department of Mathematics, University of Torino. 相似文献
20.
Summary We consider the one dimensional nearest neighbors asymmetric simple exclusion process with ratesq andp for left and right jumps respectively;q<p. Ferrari et al. (1991) have shown that if the initial measure isv
,
, a product measure with densities and to the left and right of the origin respectively, <, then there exists a (microscopic) shock for the system. A shock is a random positionX
t
such that the system as seen from this position at timet has asymptotic product distributions with densities and to the left and right of the origin respectively, uniformly int. We compute the diffusion coefficient of the shockD=lim
t
t
–1(E(X
t
)2–(EX
t
)2) and findD=(p–q)(–)–1((1–)+(1–)) as conjectured by Spohn (1991). We show that in the scale
the position ofX
t
is determined by the initial distribution of particles in a region of length proportional tot. We prove that the distribution of the process at the average position of the shock converges to a fair mixture of the product measures with densities and . This is the so called dynamical phase transition. Under shock initial conditions we show how the density fluctuation fields depend on the initial configuration. 相似文献