查询词典 ergodicity

In thepresent thesis we concentrate on some special properties of C-regularizedsemigroups,such as stability,contractivity,almost periodicity,asymptotic almostperiodicity,ergodicity and norm continuity.

本文对C-正则半群的一些特殊的定性性质如稳定性，压缩性，概周期性，渐近概周期性，遍历性和范数连续性等做了深入的研究。

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。

The purpose of this article is to give some equivalent conditions for ergodicity and unique ergodicity.

给出遍历性及唯一遍历的几个等价条件。

In this paper, we study the existence and ergodicity on invariant measures of set-valued mappings.

中文摘要：在这篇文章里，我们研究了集值映射不变测度的存在性和遍历性。

Also the relationship between the Lipschitz ergodicity and the domain of influence of an invariant set is discussed.

讨论了Lipschitz各态历经性与不变集的影响域之间的关系。

In recent years, the problem of ergodicity of low-dimensional systems becomes a new hot spot.

从动力学角度处理大自由度系统是很困难的，并且也不利于从中理解统计物理的微观机制。

At the same time the ergodicity of the quotient space is proved using the ergodicity of the original space.

同时利用原空间的遍历性可以证明商空间的遍历性。

By using the property of chaos ergodicity, a PID controller based on chaos optimization was designed.

利用混沌运动遍历性和随机性的特点，对PID控制器进行参数寻优。

Of course, the mathematical proof of ergodicity, even in a hard ball system with only few degrees of freedom, is still a difficult task.

当然，即使对具有很少自由度的硬球系统，遍历性的数学证明也仍然是一件非常困难的工作。

Analyzing the Ergodicity of Aperiodic Markov Chain by C language;2. Recurrent, ergodicity properties for an extended birth-death minimal Q-process;3. In the end,a special experiment is implemented according to actual applications,using pseudorandom code ergodicity instead of related dispreading in se.

结合实际应用进行了专题试验，采用了一种用伪码遍历代替相关解扩进行角误差信号搜索的方法，并对伪码的搜索、捕获和跟踪的实现过程进行了详细设计，实现了扩频信号角误差信号的搜索和跟踪功能。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。