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經典數學教材(影印版):馬爾科夫過程、布朗運動和時間對稱(第2版) pdf epub mobi txt 電子書 下載 2024

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經典數學教材(影印版):馬爾科夫過程、布朗運動和時間對稱(第2版)

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齣版社: 世界圖書齣版公司
ISBN:9787510061462
版次:2
商品編碼:11316310
包裝:平裝
開本:24開
齣版時間:2013-10-01
用紙:膠版紙
頁數:431
正文語種:英文

經典數學教材(影印版):馬爾科夫過程、布朗運動和時間對稱(第2版) epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

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經典數學教材(影印版):馬爾科夫過程、布朗運動和時間對稱(第2版) epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

經典數學教材(影印版):馬爾科夫過程、布朗運動和時間對稱(第2版) pdf epub mobi txt 電子書 下載



具體描述

內容簡介

  This book consists of two parts, to be called Part I and Part n. Part I,Chapters l through 5, is essentially a new edition of Kai Lai Chung's Lec-tures from Markov Processes to Brownian Motion (1982). He has corrected a number of misprints in the original edition, and has inserted a few references and remarks, of which he says, "The latter must be regarded as randomly selected since twenty-some years is a long time to retrace steps..." This part introduces strong Markov processes and their potential theory. In particular,it studies Brownian motion, and shows how it generates classical potential theory.

內頁插圖

目錄

Chapter 1 Markov Ptocess
1.1.Markov Property
1.2.Transition Function
1.3.Optional Times
1.4.Martingale Theorems
1.5.Progressive Measurability and the Section Theorem
Exercises
Notes on Chapter I

Chapter 2 Basic Properties
2.1. Martingale Connection
2.2.Feller Process
Exercises
2.3. Strong Markov Property and Right Continuity of Fields
Exercises
2.4. Moderate Markov Property and Quasi Left Continuity
Exercises
Notes on Chapter 2

Chapter 3 Hunt Process
3.1.Defining Properties
Exercises
3.2.Analysis of Excessive Functions
Exercises
3.3.Hitting Times
3.4.Balayage and Fundamental Structure
Exercises
3.5. FineProperties
Exercises
3.6.Decreasing Limits
Exercises
3.7.Recurrence and Transience
Exercises
3.8.Hypothesis (B)
Exerases
Notes on Chapter 3

Chapter 4 Brownian Motion
4.1.Spatial Homogeneity
Exercises
4.2.Preliminary Properties of Brownian Motion
Exercises
4.3.Harmonic Function
Exerases
4.4.Dirichlet Problem
Exercises
4.5.Superharmonic Function and Supermartingale
Exerases
4.6.The Role of the Laplacian
Exercises
4.7. The Feynman-Kac Functional and the Schrodinger Equation
Exe工ases
Notes on Chapter 4

Chapter 5 Potential Developments
5.1 Quitting Time and Equilibrium Measure
Exercises
5.2.Some Princip les of Potential Theory
Exerases
Notes on Chapter 5

Chapter 6 Generalities
6.1 Essential Limits
6.2 Penetration Times
6.3 General Theory
Exercises
Notes on Chapter 6

Chapter 7 Markov Chains: a Fireside Chat
7.1 Basic Examples
Notes on Chapter 7

Chapter 8 Ray Processes
8.1 Ray Resolvents and Semigroups
8.2Branching Points
Chapter9
Application to Markov Chains
……
Chapter 10 Time Reversal
Chapter 11 h-Transforms
Chapter 12 Death and Transfiguration: A Fireside Chat
Chapter 13 Processes in Duality
Chapter 14 The Martin Boundary
Chapter 15 The Basis of Duality: A Fireside Chat
Bibliography
Index

精彩書摘

  This book consists of two parts, to be called Part I and Part n. Part I, Chapters l through 5, is essentially a new edition of Kai Lai Chung's Lec-tures from Markov Processes to Brownian Motion (1982). He has corrected a number of misprints in the original edition, and has inserted a few references and remarks, of which he says, "The latter must be regarded as randomly selected since twenty-some years is a long time to retrace steps . . ." This part introduces strong Markov processes and their potential theory. In particular,it studies Brownian motion, and shows how it generates classical potential theory.
  Part II, Chapters 6 through 15, began life as a set of notes for a series of lectures on time reversal and duality given at the University of Paris. I originally planned to add the essential parts of these notes to this edition to show how the reversal of time-the retracing of steps-explained so much about Markov processes and their potential theory. But like many others, I learned that the inessential parts of a cherished manuscript form at most a fuzzy empty set, while the essential parts include everything that should have been in the original, even if it wasn't. In short, this, like Topsy, just grow'd.
  Indeed, reversal and duality are best understood in light of Ray processes and the Ray-Knight compactification. But it is fitting that a study of symmetry be symmetrical itself, so once I had included the Ray compactification, I had to include its mirror image, the Martin boundary. This was followed by a host of examples, remarks and theorems to show how these new ideas influence the theory and practice developed in the first part. The result was the present Part II.
  In a sense, Part II deals with the same subjects as Pan I, but more narrowly: using Part I for a general understanding, we are free to focus on the effects of time reversal, duality, and time-symmetry on potential theory. Certain theo-rems in Part I are re-proved in Part II under slightly weaker hypotheses. This . is not because I want to generalize the theorems, but because I want to show
  them in a different light: the proofs in Part II are quite different from those of Part I.
  ……

前言/序言



經典數學教材(影印版):馬爾科夫過程、布朗運動和時間對稱(第2版) 下載 mobi epub pdf txt 電子書

經典數學教材(影印版):馬爾科夫過程、布朗運動和時間對稱(第2版) pdf epub mobi txt 電子書 下載
想要找書就要到 靜流書站
立刻按 ctrl+D收藏本頁
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用戶評價

評分

專業必備正版脈絡清晰幫助很大

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不錯

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不錯的經典教材,京東的快遞小哥非常贊!

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塑料薄膜塑封的。應該還可以吧

評分

一本經典的教材瞭,作者是大牛,這書適閤入門,各部分內容都講的較簡略。

評分

有點破損,內容不錯。

評分

好評。。。。。。。。

評分

絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著作,能覆蓋這許多我現在還要學的理論,已經讓我肅然起敬瞭。 絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著作,能覆蓋這許多我現在還要學的理論,已經讓我肅然起敬瞭。 絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著作,能覆蓋這許多我現在還要學的理論,已經讓我肅然起敬瞭。 絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著作,能覆蓋這許多我現在還要學的理論,已經讓我肅然起敬瞭。 絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著作,能覆蓋這許多我現在還要學的理論,已經讓我肅然起敬瞭。 絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著作,能覆蓋這許多我現在還要學的理論,已經讓我肅然起敬瞭。 絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著作,能覆蓋這許多我現在還要學的理論,已經讓我肅然起敬瞭。 絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著作,能覆蓋這許多我現在還要學的理論,已經讓我肅然起敬瞭。 絕對經典的一本書,觀點比較高,以緻我看見樹皮的時候,滿心以為可以調戲下老鍾寫的書瞭,纔看瞭幾頁就發現我被調戲瞭……除瞭許寶祿,老鍾可能是早期華人裏統計做的最好的幾個吧?不敢評論這本書在當前的學術價值,不過以一本50多年前齣版的著

評分

一本經典的教材瞭,作者是大牛,這書適閤入門,各部分內容都講的較簡略。

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