共查询到20条相似文献,搜索用时 960 毫秒
1.
Michael Lönne 《Topology and its Applications》2010,157(7):1127-1135
According to the Tits conjecture proved by Crisp and Paris (2001) [4], the subgroups of the braid group generated by proper powers of the Artin elements σi are presented by the commutators of generators which are powers of commuting elements. Hence they are naturally presented as right-angled Artin groups.The case of subgroups generated by powers of the band generators aij is more involved. We show that the groups are right-angled Artin groups again, if all generators are proper powers with exponent at least 3. We also give a presentation in cases at the other extreme, when all generators occur with exponent 1 or 2. Such presentations are distinctively more complicated than those of right-angled Artin groups. 相似文献
2.
Jonathan Brown 《Transformation Groups》2009,14(1):87-114
We construct an explicit set of generators for the finite W-algebras associated to nilpotent matrices in the symplectic or orthogonal Lie algebras whose Jordan blocks are all of the
same size. We use these generators to show that such finite W-algebras are quotients of twisted Yangians. 相似文献
3.
ShengJun Fan Long Jiang DeJian Tian 《Stochastic Processes and their Applications》2011,121(3):427-440
This paper is devoted to solving one-dimensional backward stochastic differential equations (BSDEs), where the time horizon may be finite or infinite and the assumptions on the generator g are not necessary to be uniform on t. We first show the existence of the minimal solution for this kind of BSDEs with linear growth generators. Then, we establish a general comparison theorem for solutions of this kind of BSDEs with weakly monotonic and uniformly continuous generators. Finally, we give an existence and uniqueness result for solutions of this kind of BSDEs with uniformly continuous generators. 相似文献
4.
William Aiello S.Raj Rajagopalan Ramarathnam Venkatesan 《Journal of Algorithms in Cognition, Informatics and Logic》1998,29(2):358-389
We present a construction for a family of pseudo-random generators that are very fast in practice, yet possess provable statistical and cryptographic unpredictability properties. Such generators are useful for simulations, randomized algorithms, and cryptography.Our starting point is a slow but high quality generator whose use can be mostly confined to a preprocessing step. We give a method of stretching its outputs that yields a faster generator. The fast generator offers smooth memory–time–security trade-offs and also has many desired properties that are provable. The slow generator can be based on strong one-way permutations or block ciphers. Our implementation based on the block cipher DES is faster than popular generators. 相似文献
5.
6.
Pedro Lopes 《Central European Journal of Mathematics》2009,7(4):650-659
In this article we look into characterizing primitive groups in the following way. Given a primitive group we single out a
subset of its generators such that these generators alone (the so-called primitive generators) imply the group is primitive.
The remaining generators ensure transitivity or comply with specific features of the group.
We show that, other than the symmetric and alternating groups, there are infinitely many primitive groups with one primitive
generator each. These primitive groups are certain Mathieu groups, certain projective general and projective special linear
groups, and certain subgroups of some affine special linear groups. 相似文献
7.
Hans Ekkehard Plesser Anders Grønvik Jahnsen 《Applied mathematics and computation》2010,217(1):339-346
Kim et al. [C. Kim, G.H. Choe, D.H. Kim, Test of randomness by the gambler’s ruin algorithm, Applied Mathematics and Computation 199 (2008) 195-210] recently presented a test of random number generators based on the gambler’s ruin problem and concluded that several generators, including the widely used Mersenne Twister, have hidden defects. We show here that the test by Kim et al. suffers from a subtle, but consequential error: re-seeding the pseudorandom number generator with a fixed seed for each starting point of the gambler’s ruin process induces a random walk of the test statistic as a function of the starting point. The data presented by Kim et al. are thus individual realizations of a random walk and not suited to judge the quality of pseudorandom number generators. When generating or analyzing the gambler’s ruin data properly, we do not find any evidence for weaknesses of the Mersenne Twister and other widely used random number generators. 相似文献
8.
This paper discusses the special properties of the spectrum of linear operators (in particular, bounded linear operators) on quotient indecomposable Banach spaces; shows that in such spaces generators of Co-groups are always bounded linear operators, and that generators of Co-semigroups satisfy the spectral mapping theorem; and gives an example to show that the generators of Co-semigroups in quotient indecomposable spaces are not necessarily bounded. 相似文献
9.
Asymptotic properties of singularly perturbed Markov chains having measurable and/or continuous generators are developed in this work. The Markov chain under consideration has a finite-state space and is allowed to be nonstationary. Its generator consists of a rapidly varying part and a slowly changing part. The primary concerns are on the properties of the probability vectors and an aggregated process that depend on the characteristics of the fast varying part of the generators. The fast changing part of the generators can either consist of l recurrent classes, or include also transient states in addition to the recurrent classes. The case of inclusion of transient states is examined in detail. Convergence of the probability vectors under the weak topology of L2 is obtained first. Then under slightly stronger conditions, it is shown that the convergence also takes place pointwise. Moreover, convergence under the norm topology of L2 is derived. Furthermore, a process with aggregated states is obtained which converges to a Markov chain in distribution. 相似文献
10.
This paper is devoted to the $L^p$ ($p>1$) solutions of
one-dimensional backward stochastic differential equations (BSDEs
for short) with general time intervals and generators satisfying
some non-uniform conditions in $t$ and $\omega$. An existence and
uniqueness result, a comparison theorem and an existence result for
the minimal solutions are respectively obtained, which considerably
improve some known works. Some classical techniques used to deal
with the existence and uniqueness of $L^p$ ($p>1$) solutions of
BSDEs with Lipschitz or linear-growth generators are also developed
in this paper. 相似文献
11.
Pawel J. Kalczynski 《European Journal of Operational Research》2012,216(3):679-686
This paper presents a new discrete approach to the price-based dynamic economic dispatch (PBDED) problem of fossil-fuel generators of electricity. The objective is to find a sequence of generator temperatures that maximizes profit over a fixed-length time horizon. The generic optimization model presented in this paper can be applied to automatic operation of fossil-fuel generators or to prepare market bids, and it works with various price forecasts. The model’s practical applications are demonstrated by the results of simulation experiments involving 2009 NYISO electricity market data, branch-and-bound, and tabu-search optimization techniques. 相似文献
12.
Valentina Pepe Leo Storme Frédéric Vanhove 《Journal of Combinatorial Theory, Series A》2011,118(4):1291-1312
We consider Erd?s-Ko-Rado sets of generators in classical finite polar spaces. These are sets of generators that all intersect non-trivially. We characterize the Erd?s-Ko-Rado sets of generators of maximum size in all polar spaces, except for H(4n+1,q2) with n?2. 相似文献
13.
Francesca Aicardi 《Functional Analysis and Other Mathematics》2009,2(2-4):111-127
The geometrical method to find the Frobenius number indicated by Arnold (Funct. Anal. Other. Math. 2, 2007) in the case of 3 generators can be extended to any number of generators. The method provides not only the Frobenius number but also a set of numbers, from which all the nonrepresentable numbers can be generated. In the case of three generators, we show some geometrical implications of the conditions for a semigroup to be symmetric or nonsymmetric. 相似文献
14.
Abstract Algorithms are developed for constructing random variable generators for families of densities. The generators depend on the concavity structure of a transformation of the density. The resulting algorithms are rejection algorithms and the methods of this article are concerned with constructing good rejection algorithms for general densities. 相似文献
15.
F. Sezgin 《BIT Numerical Mathematics》2004,44(1):135-149
This paper presents a method of systematic search for optimal multipliers for congruential random number generators. The word-size
of computers is a limiting factor for development of random numbers. The generators for computers up to 32 bit word-size are
already investigated in detail by several authors. Some partial works are also carried out for moduli of 248 and higher sizes. Rapid advances in computer technology introduced recently 64 bit architecture in computers. There are considerable
efforts to provide appropriate parameters for 64 and 128 bit moduli. Although combined generators are equivalent to huge modulus
linear congruential generators, for computational efficiency, it is still advisable to choose the maximum moduli for the component
generators. Due to enormous computational price of present algorithms, there is a great need for guidelines and rules for
systematic search techniques. Here we propose a search method which provides ‘fertile’ areas of multipliers of perfect quality
for spectral test in two dimensions. The method may be generalized to higher dimensions. Since figures of merit are extremely
variable in dimensions higher than two, it is possible to find similar intervals if the modulus is very large.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
16.
Explicit generators for high-order (r>1) scalar and vector finite element spaces generally used in numerical electromagnetism are presented and classical degrees of freedom, the so-called moments, revisited. Properties of these generators on simplicial meshes are investigated, and a general technique to restore duality between moments and generators is proposed. Algebraic and exponential optimal h- and r-error rates are numerically validated for high-order edge elements on the problem of Maxwell’s eigenvalues in a square domain. 相似文献
17.
Tim N.T. Goodman 《Constructive Approximation》2007,25(3):279-301
We construct local generators, comprising r functions, for refinable spaces of bivariate Cn-1 spline functions of degree n on meshes comprising all lines through points of the integer lattice in the directions of n
+ r + 1 pairwise linearly independent vectors with integer components. The generators are characterised by their Fourier transforms.
Their shifts are shown to form a Riesz basis if and only if at most r lines in the mesh intersect other than in the integer
lattice, which can occur for n ≤ 2r - 1. The symmetry of these generators is studied and examples are given. 相似文献
18.
Theoretical and empirical convergence results for additive congruential random number generators 总被引:1,自引:0,他引:1
Roy S. Wikramaratna 《Journal of Computational and Applied Mathematics》2010,233(9):2302-151
Additive Congruential Random Number (ACORN) generators represent an approach to generating uniformly distributed pseudo-random numbers that is straightforward to implement efficiently for arbitrarily large order and modulus; if it is implemented using integer arithmetic, it becomes possible to generate identical sequences on any machine.This paper briefly reviews existing results concerning ACORN generators and relevant theory concerning sequences that are well distributed mod 1 in k dimensions. It then demonstrates some new theoretical results for ACORN generators implemented in integer arithmetic with modulus M=2μ showing that they are a family of generators that converge (in a sense that is defined in the paper) to being well distributed mod 1 in k dimensions, as μ=log2M tends to infinity. By increasing k, it is possible to increase without limit the number of dimensions in which the resulting sequences approximate to well distributed.The paper concludes by applying the standard TestU01 test suite to ACORN generators for selected values of the modulus (between 260 and 2150), the order (between 4 and 30) and various odd seed values. On the basis of these and earlier results, it is recommended that an order of at least 9 be used together with an odd seed and modulus equal to 230p, for a small integer value of p. While a choice of p=2 should be adequate for most typical applications, increasing p to 3 or 4 gives a sequence that will consistently pass all the tests in the TestU01 test suite, giving additional confidence in more demanding applications.The results demonstrate that the ACORN generators are a reliable source of uniformly distributed pseudo-random numbers, and that in practice (as suggested by the theoretical convergence results) the quality of the ACORN sequences increases with increasing modulus and order. 相似文献
19.
In the Hewitt–Savage 0-1 law, symmetric measurable sets are considered in a countable product of a σ-algebra Σ with itself. Therefore, it may be of interest to find simple generators for these sets in terms of the generators of Σ. We put the problem into a more general framework of action groups and as an application find simple generators for the finite product case. We also have a partial result in the countable product case. 相似文献
20.
Several bounds on the number of generators of Cohen-Macaulay ideals known in the literature follow from a simple inequality which bounds the number of generators of such ideals in terms of mixed multiplicities. Results of Cohen and Akizuki, Abhyankar, Sally, Rees and Boratynski-Eisenbud-Rees are deduced very easily from this inequality.