On the real meaning of Bell's theorem

In the last couple of years many important results have been derived showing that Bell's inequalities are nothing else but the indicator whether certain events and their probabilities can be represented or not within a Kolmogorovian probabilistic model. It has become evident that one can derive the Bell's inequalities without mentioning locality, causality hidden variable, etc. Many authors jumped to conclusion that the original content of the Bell's theorem had lost its meaning. I reconsider original problem posed by Bell and I show that the Bell's theorem is still valid.1. On leave from the Institute for Theoretical Physics, Eötvös University, Budapest.     

Iterative Method for Set-Valued Mixed Quasi-variational Inequalities in a Banach Space

This paper introduces an iterative method for finding approximate solutions of a set-valued mixed quasivariational inequality in the setting of a Banach space. Existence of a solution of this rather general problem and the convergence of the proposed iterative method to a solution are established.The first two authors were partially supported by the National Science Council of the Republic of China. The third author was partially supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, China and by the Dawn Program Foundation in ShanghaiCommunicated by     

关于一类新型的广义双拟变分不等式

本文在局部凸Ｈａｕｓｄｏｒｆｆ拓扑线性空间中引入了一类新型的广义双拟变分不等式，并研究了其解的存在性．本文的结果统一、改进和发展了有关变分不等式问题的许多最新结果．     

PRACTICAL STABILITY OF DYNAMIC SYSTEMS WITH IMPULISIVE SOLUTIONS

ＰＲＡＣＴＩＣＡＬＳＴＡＢＩＬＩＴＹＯＦＤＹＮＡＭＩＣＳＹＳＴＥＭＳＷＩＴＨＩＭＰＵＬＩＳＩＶＥＳＯＬＵＴＩＯＮＳＨｅＪｉａｎｘｕｎ（贺建勋）（ＸｉａｍｅｎＵｎｉｖｅｒｓｉｔｙ，厦门大学，邮编：３６１００５）Ａｂｓｔｒａｃｔ：Ｐｒａｃｔｉｃａｌｓｔａ...     

Quadratic finite element approximation of the Signorini problem

Applying high order finite elements to unilateral contact variational inequalities may provide more accurate computed solutions, compared with linear finite elements. Up to now, there was no significant progress in the mathematical study of their performances. The main question is involved with the modeling of the nonpenetration Signorini condition on the discrete solution along the contact region. In this work we describe two nonconforming quadratic finite element approximations of the Poisson-Signorini problem, responding to the crucial practical concern of easy implementation, and we present the numerical analysis of their efficiency. By means of Falk's Lemma we prove optimal and quasi-optimal convergence rates according to the regularity of the exact solution.

     

Variational approach to serial multilevel production/inventory systems

We discuss stochastic, continuous-time models of serial multilevel production/inventory systems using quasi-variational inequalities. The value functions are characterized as maximum solutions of suitable equivalent problems. Then, we show how to construct optimal centralized policies and, if possible, decentralized policies. Finally, we present some numerical examples for the deterministic case.The work of the second author was supported by the National Science Foundation under Grant No. DMS-87-02236.     

Sensitivity analysis for variational inequalities and nonlinear complementarity problems

This paper surveys the main results in the area of sensitivity analysis for finite-dimensional variational inequality and nonlinear complementarity problems. It provides an overview of Lipschitz continuity and differentiability properties of perturbed solutions for variational inequality problems, defined on both fixed and perturbed sets, and for nonlinear complementarity problems.     

一类Bellman方程离散问题的解

本文研究了一类Bellman方程离散形式的解,得到了解的存在唯一性的某些条件,提出了一些算法,证明了该算法产生的序列单调收敛于问题的解.     

一些改良Nevanlinna型基本不等式

本文证明了一些Ｎｅｖａｎｌｉｎｎａ型基本不等式，其主要特点是所有不等式中的余项都能明确地表达出来，并且一些密指量的系数有所减少。     

Strict monotonicity for critical points in percolation and ferromagnetic models

When is the numerical value of the critical point changed by an enhancement of the process or of the interaction? Ferromagnetic spin models, independent percolation, and the contact process are known to be endowed with monotonicity properties in that certain enhancements are capable of shifting the corresponding phase transition in only an obvious direction, e. g., the addition of ferromagnetic couplings can only increase the transition temperature. The question explored here is whether enhancements do indeed change the value of the critical point. We present a generally applicable approach to this issue. For ferromagnetic Ising spin systems, with pair interactions of finite range ind?2 dimensions, it is shown that the critical temperatureT _c is strictly monotone increasing in each coupling, with the first-order derivatives bounded by positive functions which are continuous on the set of fullyd-dimensional interactions. For independent percolation, with 0<p _c<1, we prove that any “essential enhancement” of the process has an effect on the critical probability, a result with applications to the question of the existence of “entanglements” and to invasion percolation with trapping.