An axiomatic concept of quantum eld theory stochastic processes is introduced and some elementary properties of them are presented. The existence of the trace processes connected to Gibbs random elds obtained in Euclidean Quantum Field Theory is discussed. For particular twodimensional interactions the Markov property and continuity of paths of the corresponding trace processes have been obtain...

Let X be the solution of an Itô di erential equation with jumps over R. Under some auxiliary assumptions on the parameters of the equation, we characterize the support of the law of X in the Skorohod space D as the closure of the set of solutions to piecewise ordinary di erential equations. This gives an analogue in the Poisson space to the classical Stroock–Varadhan support theorem. c © 2000 P...

in this paper, modication of the optimal homotopy asymptotic method (moham) is appliedupon singular initial value lane-emden type equations and results are compared with the available exactsolutions. the modied algorithm give the exact solution for dierential equations by using one iterationonly.

We present a block cipher that has the best performance of all 64-bit block ciphers with the smallest proven di erential/linear probability 2 62 using the structure proposed by Matsui. One of features of his methodology is to use some power functions in GF (2 n ) with di erent n that are resistant to di erential and linear attacks. In this paper we discuss how to combine power functions x k in ...

Approximation only by derivative (or more generally momentum) expansions, combined with reparametrization invariance, turns the continuous renormalization group for quantum eld theory into a set of partial di erential equations which at xed points become non-linear eigenvalue equations for the anomalous scaling dimension . We review how these equations provide a powerful and robust means of dis...

The nite di erence method is a numerical analysis technique used to solve problems involving irregular geometries, complicated boundary conditions, or both. The geometries are represented using partial di erential equations. The solutions to the partial di erential equations can be easily generated with the aid of a computer. As the geometries become increasingly complex, the solutions of the p...

This work is our rst attempt in establishing the connections between evolutionary computation algorithms and stochastic approximation procedures By treating evo lutionary algorithms as recursive stochastic procedures we study both constant gain and decreasing step size algorithms We formulate the problem in a rather general form supply the su cient conditions for convergence both with probabili...

image restoration has been an active research area. dierent formulations are eective in high qualityrecovery. partial dierential equations (pdes) have become an important tool in image processingand analysis. one of the earliest models based on pdes is perona-malik model that is a kindof anisotropic diusion (andi) lter. anisotropic diusion lter has become a valuable tool indierent elds...

A hybrid system is a dynamical system whose behavior exhibits both discrete and continuous change. A hybrid automaton is a mathematical model for hybrid systems, which combines, in a single formalism, automaton transitions for capturing discrete change with di erential equations for capturing continuous change. In this survey, we demonstrate symbolic algorithms for the veri cation and controlle...

We formulate a non-linear system of di€erential equations that models the dynamics of transmission of dengue fever. We consider vertical and mechanical transmission in the vector population, and study the e€ects that they have on the dynamics of the disease. A qualitative analysis as well as some numerical examples are given for the model. Ó 2000 Elsevier Science Inc. All rights reserved.