查询词典 Brownian motion

It was proved that under Lipschitz coefficients, the solutions of SDEs driven by Brownian motion or a continuous semimartingale form a stochastic homeomorphism flow.

在方程系数Lipschitz连续的条件下，由Brown运动或连续半鞅驱动的随机微分方程的解形成一随机同胚流。

It has important significance to consider backward stochastic Volterra type integral equation in infinite dimensional space.By a similar calculation as in the second part,we study this kind of equations driven by cylindrical Brownian motion under non-Lipschitz condition.

3在无穷维空间中研究倒向随机Volterra型方程也是有着重要意义的，论文利用与第二部分相同的思路将前面的结果推广到无穷维中，在非Lipschitz条件下对由柱Brown运动驱动的这种方程建立了解的存在唯一性。

Based on the results of the iterated logarithm law and the uniform modulus of continuity for Brownian motion, Orey and Taylor(1972) discussed the multifractal decomposition of one dimension white noise.

但有关多维白噪音的重分形分解问题，即多指标Wiener过程样本轨道的重分形分析性质至今仍未见有讨论，本文旨在讨论多指标Wiener过程样本轨道的重分形分析性质。

The DNA's jiggle was added to suggest Brownian motion caused by thermal energy and agitation by surrounding molecules.

DNA分子的摆动，是由于周围环境中分子的热运动而产生的布朗运动。

The physical mechanism of soil water transportation is explained using fractional Brownian motion. Quantitative mathematical-physical analysis model is proposed. The analytical solution demonstrates fractal characteristics of Lévy distribution.

通过对土壤中水分输运的物理机制的分析，利用分数布朗运动解释了土壤内水分输运的物理机制，得出土壤内水分输运的定量数理解析模型，模型的解析解是具有分形特征的列维分布。

In Chapters 1 and 2, we discuss large and moderate deviation principles for the super Brownian motion with immigration governed by the Lebesgue measure .

第一至二章分别研究带移民超布朗运动的大，中偏差，其移民由Lebesgue测度决定。

Model of stochastic interest rate was established by reflected Brownian motion and negative binomial distribution. Based on the stochastic interest rate model, the combined life insurance was discussed.

bstract 以反射布朗运动和负二项分布为基础建立随机利率模型，并在该随机利率模型下对联合生命保险进行讨论。

A model of stochastic interest rate was established by reflected Brownian motion and negative binomial distribution. Based on the stochastic interest rate model, the combined life insurance was discussed.

以反射布朗运动和负二项分布为基础建立随机利率模型，并在该随机利率模型下对联合生命保险进行讨论。

Introduces the notion of Feynman's path integrals and path integrals approach to financial modeling; Derives the path-dependent options pricing formula by making use of the Lagrange form of path integrals; Discusses Ilinski(2003)'s Gauge model which based on path integrals and fibre bundle, and its application for real-options evaluation; Summarizes the general modeling framework of options evaluation, taking advantage of the Hamilton form of path integrals; Applies the Geske-Johnson's analytical approximation in the path integrals form to the real-options evaluation for investment decisions, detailed procedure is presented under the assumption that underlying asset price dynamic follows a geometric Brownian motion, and the integral reduction for multivariate normal integrals and polynomial approximation for real-options evaluation is given.

系统论述了路径积分概念方法及其在期权估值中的应用，利用路径积分方法的Lagrange表述推导了路径依赖期权定价公式：探讨了基于路径积分和纤维丛的Gauge模型思想方法在实物期权价值评估中的应用；利用路径积分的Hamilton表述形式，总结了基于Hamilton表述的期权估值一般化框架；基于路径积分的形式框架建立了一个新的投资期权估值模型，并在具体的估值算法中给出了多重正态积分的降阶计算和期权价值的多项式逼近方法。

By directly imaging the Brownian motion of the polystyrene bead, which is tethered to the coverslip through a DNA molecule, TPM allows the real-time measurement of DNA length change during enzymatic processes.

利用高解析的光学显微技术，我们得以准确地观测接连在DNA及玻片表面的乳胶小球之布朗运动情形，并藉由其布朗运动的大小直接对应到在生化反应中DNA长度的变化，因此单分子拴球实验已被广泛地应用於研究单一蛋白质与单一DNA分子作用之反应机制。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。