標(biāo)題: Titlebook: Entropy, Large Deviations, and Statistical Mechanics; Richard S. Ellis Book 1985 Springer-Verlag New York Inc. 1985 Large.Maxwell-Boltzman [打印本頁] 作者: 回憶錄 時(shí)間: 2025-3-21 18:48
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書目名稱Entropy, Large Deviations, and Statistical Mechanics被引頻次
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書目名稱Entropy, Large Deviations, and Statistical Mechanics讀者反饋學(xué)科排名
作者: 暴發(fā)戶 時(shí)間: 2025-3-21 21:33
https://doi.org/10.1007/978-3-540-31041-9 theory, which include laws of large numbers and central limit theorems, summarize the behavior of a stochastic system in terms of a few parameters (e.g., mean and variance). In statistical mechanics, one derives macroscopic properties of a substance from a probability distribution that describes th作者: hieroglyphic 時(shí)間: 2025-3-22 03:28 作者: UTTER 時(shí)間: 2025-3-22 05:41 作者: intrigue 時(shí)間: 2025-3-22 09:53
Das wechselhafte Leben der Sterne of a liquid-gas phase transition. The liquid and the gas are said to be two phases of the same substance. One of the most interesting problems in equilibrium statistical mechanics is to explain phase transitions in terms of the probability distributions on configuration space which describe the mic作者: Anterior 時(shí)間: 2025-3-22 16:11 作者: Anterior 時(shí)間: 2025-3-22 20:46 作者: 染色體 時(shí)間: 2025-3-22 23:14
https://doi.org/10.1007/1-84628-129-6large deviation theorem for random vectors [Theorem 11.6.1] which generalized the level-1 property. In this chapter, Theorem 11.6.1 will be proved [Sections VII.2–VII.4] and the level-1 large deviation property will be derived as a corollary [Section VII.5]. The results on exponential convergence of作者: Retrieval 時(shí)間: 2025-3-23 03:49 作者: acetylcholine 時(shí)間: 2025-3-23 09:30 作者: Foreknowledge 時(shí)間: 2025-3-23 13:26 作者: 美食家 時(shí)間: 2025-3-23 15:17
Convex Functions and the Legendre-Fenchel Transforming theme. Suppose that . is a probability measure on ?. such that.is finite for all . in ?.. The function .(.), called the free energy function of ., is a convex function on ?. [Example VII.1.2]. The Legendre-Fenchel transform of .(.) is given by作者: Tremor 時(shí)間: 2025-3-23 18:09
Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/e/image/311878.jpg作者: 背叛者 時(shí)間: 2025-3-23 23:04 作者: Explicate 時(shí)間: 2025-3-24 05:32 作者: Benzodiazepines 時(shí)間: 2025-3-24 07:49
0072-7830 many points of contact and that in being treated together, they enrich each other. Entropy, in its various guises, is their common core. The large deviation theory which is developed in this book focuses upon convergence properties of certain stochastic systems. An elementary example is the weak law作者: GET 時(shí)間: 2025-3-24 14:24
Das wechselhafte Leben der Sterneilibrium statistical mechanics is to explain phase transitions in terms of the probability distributions on configuration space which describe the microscopic behavior of physical systems. The simplest systems for which this is possible are ferromagnetic models on a lattice. The present chapter introduces these models.作者: 懦夫 時(shí)間: 2025-3-24 18:11
https://doi.org/10.1007/1-84628-129-6ctions VII.2–VII.4] and the level-1 large deviation property will be derived as a corollary [Section VII.5]. The results on exponential convergence of random vectors stated in Theorem 1I.6.3 will be proved in Section VII.6.作者: 健忘癥 時(shí)間: 2025-3-24 20:30 作者: atopic 時(shí)間: 2025-3-25 02:19 作者: 銀版照相 時(shí)間: 2025-3-25 04:22
Large Deviations for Random Vectorsctions VII.2–VII.4] and the level-1 large deviation property will be derived as a corollary [Section VII.5]. The results on exponential convergence of random vectors stated in Theorem 1I.6.3 will be proved in Section VII.6.作者: Uncultured 時(shí)間: 2025-3-25 08:01
Level-3 Large Deviations for I.I.D. Random Vectors which were made in Chapters III, IV, and V to the Gibbs variational principle. Theorem II.4.4 can also be proved via the methods of Donsker and Varadhan (1983a). The main result in that paper is a level-3 theorem for continuous parameter Markov processes taking values in a complete separable metric space.作者: 平常 時(shí)間: 2025-3-25 12:12 作者: arbovirus 時(shí)間: 2025-3-25 16:28 作者: 心胸開闊 時(shí)間: 2025-3-25 23:18 作者: 完整 時(shí)間: 2025-3-26 02:50 作者: 爭(zhēng)吵 時(shí)間: 2025-3-26 07:28 作者: 榨取 時(shí)間: 2025-3-26 11:11
https://doi.org/10.1007/978-3-540-31041-9ep in its development and enrichment was the discovery by Boltzmann of a statistical interpretaton of entropy. Boltzmann’s discovery, which was published in 1877, has three parts. We have augmented part (c) to include the possibility of phase transitions.作者: 枯萎將要 時(shí)間: 2025-3-26 13:39
Allgemeines zur medizinischen Sonographie, a general model to the Ising model on ?.. Then spontaneous magnetization is shown for the latter by means of a combinatorial argument due to Peierls. The moment inequalities also yield monotonicity and concavity properties of the specific magnetization which were stated in Chapter IV without proof.作者: amenity 時(shí)間: 2025-3-26 19:12 作者: Projection 時(shí)間: 2025-3-26 21:47 作者: ALIEN 時(shí)間: 2025-3-27 04:05
Introduction to Large Deviations theory, which include laws of large numbers and central limit theorems, summarize the behavior of a stochastic system in terms of a few parameters (e.g., mean and variance). In statistical mechanics, one derives macroscopic properties of a substance from a probability distribution that describes th作者: 蕁麻 時(shí)間: 2025-3-27 06:13
Large Deviation Property and Asymptotics of Integralspace. The main results show the exponential decay of large deviation probabilities. A level-1 example is .{|. ? .| ≥ .}, where . is the .th partial sum of the random variables and . is their common mean. Levels-2 and 3 treat analogous probabilities for the empirical measures {.} and the empirical pr作者: Mundane 時(shí)間: 2025-3-27 11:27 作者: alliance 時(shí)間: 2025-3-27 15:38 作者: 改進(jìn) 時(shí)間: 2025-3-27 18:31 作者: rectum 時(shí)間: 2025-3-28 00:37
Convex Functions and the Legendre-Fenchel Transforming theme. Suppose that . is a probability measure on ?. such that.is finite for all . in ?.. The function .(.), called the free energy function of ., is a convex function on ?. [Example VII.1.2]. The Legendre-Fenchel transform of .(.) is given by作者: 賠償 時(shí)間: 2025-3-28 03:13 作者: 歡樂中國(guó) 時(shí)間: 2025-3-28 10:03
Level-2 Large Deviations for I.I.D. Random Vectorsned in Donsker and Varadhan (1975a, 1976a), which prove level-2 large deviation properties for Markov processes taking values in a complete separable metric space.. In Chapter VIII, we will give an elementary, self-contained proof of Theorem I1.4.3 in the special case of i.i.d. random variables with作者: Nibble 時(shí)間: 2025-3-28 12:31
Level-3 Large Deviations for I.I.D. Random Vectorsthe special case of i.i.d. random variables with a finite state space. This version of the theorem covers the applications of level-3 large deviations which were made in Chapters III, IV, and V to the Gibbs variational principle. Theorem II.4.4 can also be proved via the methods of Donsker and Varad作者: 粗語 時(shí)間: 2025-3-28 18:20 作者: cardiac-arrest 時(shí)間: 2025-3-28 18:47
0072-7830 dent and dependent random variables and which have the following features: probabilities converge to zero exponentially fast as the size of the system increase978-1-4613-8533-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 作者: CLOWN 時(shí)間: 2025-3-29 00:59
Book 1985s.). This example will be generalized extensively in the book. We will treat a large class of stochastic systems which involve both indepen- dent and dependent random variables and which have the following features: probabilities converge to zero exponentially fast as the size of the system increase作者: Harrowing 時(shí)間: 2025-3-29 04:28
Entropy, Large Deviations, and Statistical Mechanics作者: 腐敗 時(shí)間: 2025-3-29 10:13
Large Deviation Property and Asymptotics of Integralsnical and detailed, is presented in a manner that closely parallels the development in Chapter I, where elementary proofs based upon combinatorics were possible because of the finite state space. The reader who followed that development should find the new theorems familiar looking and plausible. In
