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Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

That is to transcend the fetters and durance, to seek the freedom and liberation

从第五代电影到第六代电影，中国当代先锋电影思潮经历了从启蒙主义到后现代主义的转递，潮起潮落间却有着内在的驱动力贯穿其间，那就是人们对于束缚和禁锢的超越，对自由和解放的追求，对于美的向往和沉迷，而先锋电影的颠覆性、革命性、实验性正是这种超越和追求的具体化。

The distribution of the dustfall nutrient took onan decreased trend by degrees via the way from east to west,from north to south.

降尘养分含量分布具有从东到西，从北到南递减的趋势。

Eastwardly planned economy country arrives market economy country of the west, arrive from southern developing country northward developed country, the civilian battalion of state-owned economy is changed undertaking inside different level, limits.

从东方的计划经济国家到西方的市场经济国家，从南方的发展中国家到北方的发达国家，国有经济的民营化都在不同程度、范围内进行着。

This is indicated in Figure 5.6 by the difference between the triangle E'd'h and the triangle Edh (for firms that "enter" the industry in response to a rise in price from OE' to OE, the return increases from zero to a positive amount).

7在图5.6中，这种收益增加显示为E'd'h三角形与Edh三角形的差别（对于因价格从OE'到OE的上涨而"进入"该行业的厂商而言，这收益是从零增加到一个正值）。

Christmas is a time of strong emotions, from joy to sadness and from bubbly effervescence to moody melancholy.

圣诞节是可以抒发强烈自己情绪的时日，从欢乐到悲伤，从沸腾到忧郁。

Sambucol?is on sale in many places around the world from Korea to Norway and from Singapore to the USA. There is a growing demand for the product in many countries and a wide recognition of the usefulness of this unique formula of black elderberry extract.

Sambucol在世界许多地方有销售，从韩国到挪威，从新加坡到美国，在许多国家都有不断增长的需求，这种独特配方的黑接骨木果实提取液的效用获得了广泛的承认。

Before the industrial revolution, is the stage of embryogeny; from the end of 18~ century to the end of the Second World War, the stage of formation; and from the 1960s to present, the stage of profound expansion.

迄今为止，文化全球化的发展可大体分为三个阶段：从14世纪中叶到18世纪末期即工业革命之前是文化全球化的萌芽阶段；从18世纪末期的工业革命到第二次世界大战结束是文化全球化的形成阶段；20世纪60年代至今是文化全球化的深入发展阶段。

Just after the white pawn makes a move from x2 to x4, the black pawn may beat the white pawn en passant, moving from y4 to x3, if y is a vertical line, neighboring to the x-vertical.

在白色典当采取一行动从x2 到x4 之后，黑典当也许摔打白色典当 en passant，行动从y4 到x3，如果y是一条垂直的线，邻居向x 垂直。

Gut Wiesenhof is a historical manor house with outbuildings and grounds, for the renovation of which the Hartge brothers have been awarded a prize for the preservation of a historical monument. The house and outbuildings are idyllically situated in 25,000 square metres of parkland close to the borders of Germany, France and Luxembourg. Gut Wiesenhof is first mentioned in the chronicles in 1835. Following the completion of his model farm, the original owner, Baron Constantin von Briesen, began to breedthoroughbred horses. Today, the historical outbuildings house engine test benches, an electronics laboratory and– last but not least – powerful, tuned Mercedes-Benz cars. A multifarious range that stretches from the A to the S Class.

Gut Wiesenhof是一个具有历史的庄园它有着谷仓和场地 Hartge很好的在革新公司的过程中保护好了这些历史遗产也由此获得过褒奖从房子到外屋坐落在了这个25，000平方米的草木区他也靠近了德国法国和卢森堡的交界处 Gut Wiesenhof历史上第一次被提及还是在1835年在房子建成之后房主人Baron Constantin von Briesen开始在这里饲养和训练马匹今天这一个历史性的外屋变成了引擎测试电子实验室和最终但不是最少的具有动力的Mercedes Benz改装车各类车系从A Klass 到S Klass

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。