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Existence,uniqueness and ergodicity of Markov branching processes with immigration and instantaneous resurrection

Science China Mathematics 2008年第7期51卷 1266-1286页

作者： LI JunPing1 & CHEN AnYue2,3 1 School of Mathematical Science and Computing Technology,Central South University,Changsha410075,China 2 Department of Mathematical Sciences,The University of Liverpool,Liverpool,L69 7ZL,UK 3 Department of Statistics and Actuarial Science,University of Hong Kong,Pokfulam Road,Hong Kong,China 1. School of Mathematical Science and Computing Technology Central South University Changsha 410075 China 2. Department of Mathematical Sciences The University of Liverpool Liverpool L69 7ZL UK 3. Department of Statistics and Actuarial Science University of Hong Kong Pokfulam Road Hong Kong China

We consider a modified Markov branching process incorporating with both state-independent immigration and instantaneous *** existence criterion of the process is firstly *** prove that if the sum of the resurrection rates is finite,then there does not exist any *** existence criterion is then established when the sum of the resurrection rates is *** equivalent criteria,possessing the advantage of being easily checked,are obtained for the latter *** uniqueness criterion for such process is also *** prove that although there exist infinitely many of them,there always exists a unique honest process for a given *** unique honest process is then *** ergodicity property of this honest process is analysed in *** prove that this honest process is always ergodic and the explicit expression for the equilibrium distribution is established.

关键词： Markov branching process immigration resurrection recurrence ergodicity 60J27 60J80

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Markov branching processes with immigration-migration and resurrection

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Science China Mathematics 2011年第5期54卷 1043-1062页

作者： LI JunPing LIU ZaiMing School of Mathematical Science and Computing Technology Central South University Changsha 410075 China

We consider a modified Markov branching process incorporating with both state-independent immigration-migration and resurrection. The effect of state-independent immigration-migration is firstly in- vestigated in detail. The explicit expressions for the extinction probabilities and mean extinction times are presented. The ergodicity and stability properties of the process incorporating with resurrection structure are then investigated. The conditions for recurrence, ergodicity and exponential ergodicity are obtained. An explicit expression for the equilibrium distribution is also presented. As a preparation, the criteria for regularity and uniqueness for such structure are firstly established.

关键词： Markov branching process, immigration, migration, resurrection, regularity, extinction, recurrence, ergodicity收藏本站首页期刊全文库学位论文库会议论文库吾喜杂志注册|登录|我的账户基础科学|工程科技I辑|工程科技II辑|医药卫生科技|信息科技|农业科技|哲学与人文科学|社会科学I辑|社会科学II辑|经济管理高级搜索: 用" Markov branching process immigration "到知网平台检索,点击这里搜索更多...《Science China(Mathematics)》 2011年05期加入收藏获取最新 Markov branching processes with immigration-migration and resurrection【摘要】: We consider a modified Markov branching process incorporating with both state-independent immigration-migration and resurrection. The effect of state-independent immigration-migration is firstly in- vestigated in detail. The explicit expressions for the extinction probabilities and mean extinction times are presented. The ergodicity and stability properties of the process incorporating with resurrection structure are then investigated. The conditions for recurrence, ergodicity and exponential ergodicity are obtained. An explicit expression for the equilibrium distribution is also presented. As a preparation, the criteria for regularity and uniqueness for such structure are firstly established.【关键词】 : Markov branching process immigration migration resurrection regularity extinction recur- rence ergodicity Keywords Markov branching process, immigration, migration, resurrection, regularity, extinction, recur-rence, ergodicity

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Comparison of Photosynthetic Pigment Contents of the resurrection Plants <i>Ramonda serbica</i>and <i>Ramonda nathaliae</i>of Some Different Populations from Kosovo, Albania and Macedonia

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American Journal of Plant Sciences 2012年第11期3卷 1588-1593页

作者： Bekim Gashi Kasamedin Abdullai Efigjeni Kongjika Department of Biology Faculty of Mathematics and Natural Sciences University of Pristina Pristina Republic of Kosovo Section of Natural and Technical Sciences Academy of Sciences of Albania Tirana Albania

The resurrection plants Ramonda serbica and Ramonda nathaliae are the physiological model plant and endemic species from Balkan Peninsula. Study was carried out to assess the impact of different populations on photosynthetic pigment contents and their effect on physiological activity of these species. The experiment was conducted with leaves of R. serbica collected from nine populations in Kosovo, three in Albania and two in Macedonia, while for R. nathaliae four populations in Macedonia. For this purpose plants after collection from their natural populations were kept for 24 hours at constant temperature and humidity and in natural photoperiod. According to our data the pigment contents (Total chl + Carot) of R. serbica, measured as mg per gram dry weight (DW), were higher (7.06 mg·g-1 DW) in Radaci populations (Kosovo) and lower (4.63 mg·g-1 DW) in Jukniu Mountain-Kruja (Albania). On the other hand, the higher (5.28 mg·g-1 DW) of pigment contents (Total chl + Carot) of R. nathaliae were observed in Vorca populations and the lower (4.24 mg·g-1 DW) in Kaparll?k populations. Ratio chlorophyll a/b of R. serbica in Kruja Castle populations from Albania was the higher (3.68) comparing with Zhlebi populations from Kosovo (1.68). Similarly in case of R. nathaliae the higher (3.36) value was in Kaparll?k populations and the lower (3.12) in Matka populations. The data obtained were further analyzed using one-way ANOVA and a significant change was recorded in the different populations. These studies clearly indicate that the Ramonda plants from different ecological habitats there have been changes of photosynthetic pigment contents.

关键词： resurrection Plants Physiological Model Populations Photosynthetic Pigments

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Purgatory： A Study of the Historical Development and Its Compatibility with the Biblical Teaching on the Afterlife

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Journal of Philosophy Study 2012年第4期2卷 286-299页

作者： Robert Osei-Bonsu Valley View University

When it comes to the afterlife, Seventh-day Adventists advocate ＂soul sleep＂ condition, in which the dead person is in some sort of suspended state until the final judgment. On the other hand, many Evangelical Christians believe that the dead go directly to Heaven to be with the Lord. But in Roman Catholicism, purgatory is considered as the place where most dead believers expiate their remaining sins before entering the visible presence of God. This doctrine has been criticized extensively both by Catholics and Evangelicals in spite of its massive defence by the Holy office. Several alternative views about the resurrection of the dead have been propounded by some twentieth-century Protestants and some notable Catholic theologians. Although the doctrine of purgatory has been approved and reaffirmed by several Church councils, the questions that still remain are： Is the doctrine of purgatory biblically justifiable？ Does the work of salvation extend beyond the grave？ This study attempts to find answers to these questions. The study therefore surveys the doctrine of purgatory in the light of the biblical teachings about death. The second section surveys the background to the doctrine with reference to Judaism, the Apocrypha, the New Testament, the Church Fathers, and Church Councils. The third section looks at the nature of purgatory, the duration and the nature of the punishment meted out to those who go to purgatory and how souls are released from purgatory. The fourth section also examines the biblical teaching on death. The study concludes that the doctrine of purgatory is based on tradition rather than the Bible. The Bible emphasizes the finality of one＇s destiny in this life rather than after this life.

关键词： purgatory afterlife soul sleep resurrection Judaism death

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Conscious Entities in Superluminal Parallel Universe

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Journal of Philosophy Study 2013年第1期3卷 70-75页

作者： Marta Sananes Universidad de Los Andes

Tachyons are theoretical superluminal particles, i.e., faster than light particles. The idea of existence of tachyons comes from Arnold Sommerfeld. Bilaniuk and Sudarshan （1969） published the article ＂Particles beyond the Light Barrier＂ in Physics Today magazine where they analyze the theoretical properties of tachyons. From the tachyon idea I have hypothesized the existence of a Superluminal Parallel Universe constituted by Superluminal Conscious Entities that, like the theoretical tachyons, only can exist at speeds greater than the speed of light. This hypothesis should be subject to scientific inquiry but also to philosophical speculation or spiritual imagination. Later I imagine that the Superluminal Parallel Universe is the Spiritual World thought by theologians and idealistic philosophers. I relate the Superluminal Conscious Entities with Spirits and the Superluminal Parallel Universe comprising infinity of Superluminal Conscious Entities with God, the Universal Spirit, thus being simultaneously Unity and Infinity given that superluminal speed implies non-local, instantaneous connections. I imagine that the material Universe might have emerged from that God, assuming that many Spirits could lose superluminality generating the two classes of substances of the Universe： the class of subluminal particles of matter and the class of luminal particles, like photons. I imagine a Soul as a quasi superluminal entity dropped from a Spirit to animate material entities. The substances of both Universes would have evolved in parallel, with life arising and evolving from the subluminal substance driven by companion Souls. Let＇s also imagine that the natural way of being of Spirits and free Souls is a state similar to conscious dreaming. In this imagination, we all, Souls, would have been a part of God and we all might be again. We all are makers of the Universe. We all might get connected with the Spirits in God to beg for and to receive inspiration.

关键词： tachyons Superluminal Parallel Universe spiritual imagination conscious dreams non-locality entanglement reincarnation resurrection

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神话英雄巴克狗--解读《野性的呼唤》(英文)

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思想战线 2008年第S3期34卷 41-42页

作者：陈谦红昆明陆军学院文化教研室

This thesis is intended to interpret Jack London's The Call of the Wild from the per-spective of four western classical myths:the loss of happiness,initiation,the descent into hell and *** article is aimed at providin... 详细信息

关键词： myth lost happiness initiation descent into hell resurrection

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论“复活”作为列夫·托尔斯泰的生死修辞

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外国文学研究 2021年第2期

作者：李正荣

“复活”作为列夫·托尔斯泰总结性长篇小说的书名，它的多重含义，是人人皆知的。1910年冬天，托尔斯泰离家出走，演绎了另一种复活概念，展示了托尔斯泰创造的对生命实体本身的“生死修辞”。然而早在19世纪80年代，托尔斯泰在对《福... 详细信息

“复活”作为列夫·托尔斯泰总结性长篇小说的书名，它的多重含义，是人人皆知的。1910年冬天，托尔斯泰离家出走，演绎了另一种复活概念，展示了托尔斯泰创造的对生命实体本身的“生死修辞”。然而早在19世纪80年代，托尔斯泰在对《福音书》做了充分研究之后，就已经对“复活”概念有了专门论述。他认为，《福音书》中的“复活”事件，仅仅是福音书作家的讲述，是一种为了传播真理而臆造的修辞。但是，在自己的小说《复活》中，托尔斯泰显然赋予这个概念多重的含义：它显然明确指向小说的主题——一个俄罗斯贵族的忏悔及复活；它显然也暗喻了《福音书》中描绘的基督的复活事件；它明显关联复活节；它也绝非仅仅是思想层面的复活而是自然界最真实生动的复活；它还是实存生命体的复活。而托尔斯泰最后的生命历程，恰恰实现了托尔斯泰本人对生命复活的预言。因此，在托尔斯泰的概念、小说和实际行动中，“复活”概念，在“灵”和“物”的多重关系中，构成了他的最大的生命修辞。

关键词：列夫·托尔斯泰复活生命修辞 Leo Tolstoy resurrection rhetoric for life and death

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