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1.
We study the exponential type inequalities for the distribution of the supremum of a random field that arises as the solution
of the heat equation with a random initial condition that is a strictly sub-Gaussian random field.
AMS 2000 Subject Classifications Primary—60G60; Secondary—60G17, 60F05 相似文献
2.
We consider a GI/GI/1 queue with the shortest remaining processing time discipline (SRPT) and light-tailed service times. Our interest is focused
on the tail behavior of the sojourn-time distribution. We obtain a general expression for its large-deviations decay rate.
The value of this decay rate critically depends on whether there is mass in the endpoint of the service-time distribution
or not. An auxiliary priority queue, for which we obtain some new results, plays an important role in our analysis. We apply
our SRPT results to compare SRPT with FIFO from a large-deviations point of view.
2000 Mathematics Subject Classification: Primary—60K25; Secondary—60F10; 90B22 相似文献
3.
If suitably normalized maxima of an i.i.d. sample converge in distribution, the limiting distribution is known to be max-infinitely
divisible and the common distribution of the sample is said to belong to its domain of attraction. We prove the existence
of max-universal distributions belonging to the domain of attraction of every max-infinitely divisible law. The proof follows
in the spirit of corresponding results for normalized sums of i.i.d. random variables originated by Doeblin and shows that
necessarily the sampling size has to be rapidly increasing. Restricting the growth rate of the sampling size, we prove that
one necessarily deals with max-semistable distributions and their domains of attraction.
2000 Mathematics subject classification Primary—60G70
Secondary—60E99, 60F05 相似文献
4.
We find the discriminants, Galois groups, and prove the irreducibility of certain hypergeometric polynomials, which are closely
related to modular forms and supersingular elliptic curves.
2000 Mathematics Subject Classification Primary—33C45; Secondary—11F11 相似文献
5.
Ermanno Marchionna 《Annali di Matematica Pura ed Applicata》1956,41(1):43-71
Sunto Si indica e si applica un metodo per la ricerca effettiva del gruppo fondamentale G di una curva algebrica Φ, e si mostra
come — una volta trovato G — si risolvano non solo il problema dei piani multipli F diramati da Φ, ma anche altri problemi
connessi, di cui il principale è la determinazione delle funzioni algebriche prive di curva diramante sopra una corrispondente
superficie.
Si mostra tra l'altro — con costruzione diretta — come si possa modificare la curva di diramazione del piano multiplo generale
(cioè il suo gruppo fondamentale) affinchè sorgano su di esso cicli diramanti. 相似文献
6.
T. Mikami 《Applied Mathematics and Optimization》2000,42(2):203-227
R. Jordan, D. Kinderlehrer, and F. Otto proposed the discrete-time approximation of the Fokker—Planck equation by the variational
formulation. It is determined by the Wasserstein metric, an energy functional, and the Gibbs—Boltzmann entropy functional.
In this paper we study the asymptotic behavior of the dynamical systems which describe their approximation of the Fokker—Planck
equation and characterize the limit as a solution to a class of variational problems.
Accepted 2 June 2000. Online publication 6 October 2000. 相似文献
7.
All finite orbits of polynomial mappings in one variable in rings of integers of quadratic number fields are determined. The
largest such orbit has seven elements and lies in the third cyclotomic field.
2000 Mathematics Subject Classification Primary—11R09, 11R11, 37F10 相似文献
8.
We derive asymptotic expansions for tails of infinite weighted convolutions of some heavy-tailed distributions. Applications
are given to tail expansion of the marginal distribution of ARMA processes, randomly stopped sums, as well as limiting waiting
time distribution.
AMS 2000 Subject Classifications. Primary—62E99, Secondary—41A60, 44A35, 60G50, 60K25 相似文献
9.
Suppose the upper records
from a sequence of i.i.d. random variables is in the domain of attraction of a normal distribution. Consider the D(0,1]-valued process {Zn(·)} constructed by usual interpolation of the partial sums of the records. We prove that under some mild conditions, {Zn} converges to a limiting Gaussian process in D(0,1]. As a consequence, the partial sums of records is asymptotically normal.
AMS 2000 Subject Classification Primary—60F17
Secondary—60G70 相似文献
10.
Vittorio Dalla Volta 《Annali di Matematica Pura ed Applicata》1954,37(1):291-332
Sunto Si studia la nota metrica hermitiana, generalizzante la metrica iperbolica, che si incontra nella teoria delle funzioni di
p≥1 variabili complesse. — Nella p. I si determina, per via elementare, il gruppo continuo G di movimenti col massimo numero
di parametri ammesso dalla metrica considerata. — Nella p. II si studiano invece le faccette piane a curvatura nulla: tale
ricerca che è stata iniziata daF. Conforto — e condotta a termine daB. Segre per p=2 — viene qui completata, per ogni p, caratterizzando le faccette in questione rispetto al gruppo G, e dando delle
medesime una costruzione geometrica. 相似文献
11.
We give a complete classification of totally umbilical, parallel and semi-parallel hypersurfaces of the Riemannian product
space × ℝ.
The author is a postdoctoral researcher supported by the Research Foundation — Flanders (F.W.O.). 相似文献
12.
Kathy Driver Helmut Prodinger Carsten Schneider J. A. C. Weideman 《The Ramanujan Journal》2006,11(2):139-158
Combinatorial identities that were needed in [25] are proved, mostly with C. Schneider’s computer algebra package Sigma. The form of the Padé approximation of the logarithm of arbitrary order is stated as a conjecture.
2000 Mathematics Subject Classification Primary—41A21, 05A19, 33F10
Supported by NRF-grant 2047226.
Supported by NRF-grant 2053748.
Supported by the Austrian Academy of Sciences, by the John Knopfmacher Research Centre for Applicable Analysis and Number
Theory, and by the SFB-grant F1305 and the grant P16613-N12 of the Austrian FWF.
Supported by NRF-grant 2053756. 相似文献
13.
We consider the mean uniform (mixed) norms for a sequence of Gaussian random functions. For a wide class of Gaussian processes
and fields the
-asymptotic for mixed norms is found whenever the volume of the index set is of order
and tends to infinity, for example,
-length time interval for random processes. Some numerical examples demonstrate the rate of convergence for the obtained asymptotic.
The developed technique can be applied to analysis of various linear approximation methods. As an application we consider
the rate of approximation by trigonometrical polynomials in the mean uniform norm.
AMS 2000 Subject Classification Primary—60G70, 60G15; Secondary—60F25 相似文献
14.
In this paper we explore the relationship between vector-valued modular forms and Jacobi forms and give explicit relations
over various congruence subgroups. The main result is that a Jacobi form of square-free index on the full Jacobi group is
uniquely determined by any of the associated vector components. In addition, an explicit construction is given to determine
the other vector components from this single component. In other words, we give an explicit construction of a Jacobi form
from a subset of its Fourier coefficients. This leads to results about how the transformation properties are affected by congruence
restrictions on the Fourier expansion.
2000 Mathematics Subject Classification: Primary—11F50; Secondary—11F30 相似文献
15.
Kathy Driver Helmut Prodinger Carsten Schneider J. A. C. Weideman 《The Ramanujan Journal》2006,12(3):299-314
We use C. Schneider’s summation software Sigma and a method due to Andrews-Newton-Zeilberger to reprove results from [5] and [24] as well as to prove new related material.
2000 Mathematics Subject Classification Primary—41A21, 05A19, 33F10
K. Driver: Supported by NRF-Grant 2047226.
H. Prodinger: Supported by NRF-Grant 2053748.
C. Schneider: Supported by the Austrian Academy of Sciences, by the John Knopfmacher Research Centre for Applicable Analysis
and Number Theory, and by the SFB-grant F1305 and the grant P16613-N12 of the Austrian FWF.
J. A. C. Weideman: Supported by NRF-Grant FA2005032300018. 相似文献
16.
Meera Thillainatesan 《The Ramanujan Journal》2006,11(1):111-133
In this paper we will study the main term of mixed moments of L-functions associated to holomorphic cusp forms of integral
weight on congruence subgroups of odd and squarefree level.
2000 Mathematics Subject Classification Primary—11F67, 11M41, 11F30 相似文献
17.
A new proof of Lévy’s version of the Absoluteness Lemma is given—a proof which avoids dependent choices and leads to stronger
versions of the lemma.
Research partially supported by N.S.F. Grant GP-8625. 相似文献
18.
19.
We show how a simplicial complex arising from the WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) equations of string theory is
the Whitehouse complex. Using discrete Morse theory, we give an elementary proof that the Whitehouse complex Δn is homotopy equivalent to a wedge of (n−2)! spheres of dimension n−4. We also verify the Cohen-Macaulay property. Additionally, recurrences are given for the face enumeration of the complex
and the Hilbert series of the associated pre-WDVV ring.
2000 Mathematics Subject Classification: Primary—13F55, Secondary—05E99, 55P15 相似文献
20.
The ground-breaking research on the uniformization of curves was conducted at the beginning of the last century. Nevertheless,
there are few examples in the literature of algebraic curves for which an explicit uniformization is known. In this article
we obtain an explicit uniformization of the Fermat curves F
N
, for each
. The results presented here are based in part on an earlier study of the second author [6] in which each Riemann surface
F
N
(ℂ) was described as a quotient of the complex disk by a Fuchsian group Γ.
2000 Mathematics Subject Classification Primary—11F03, 11F06; Secondary—11F30
This work was partially supported by MCYT BFM2000-0627 and BMF2003-01898. 相似文献