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Multidimensional Diffusion Processes

Overview of attention for book
Cover of 'Multidimensional Diffusion Processes'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Preliminary Material: Extension Theorems, Martingales, and Compactness
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    Chapter 3 Markov Processes, Regularity of Their Sample Paths, and the Wiener Measure
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    Chapter 4 Parabolic Partial Differential Equations
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    Chapter 5 The Stochastic Calculus of Diffusion Theory
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    Chapter 6 Stochastic Differential Equations
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    Chapter 7 The Martingale Formulation
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    Chapter 8 Uniqueness
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    Chapter 9 Itô’s Uniqueness and Uniqueness to the Martingale Problem
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    Chapter 10 Some Estimates on the Transition Probability Functions
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    Chapter 11 Explosion
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    Chapter 12 Limit Theorems
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    Chapter 13 The Non-unique Case
Attention for Chapter 2: Preliminary Material: Extension Theorems, Martingales, and Compactness
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