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Brand new. We distribute directly for the publisher. The subject of this book is connections between linear and semilinear differential equations and the corresponding Markov processes called diffusions and superdiffusions. Most of the book is devoted to a systematic presentation (in a more general setting, with simplified proofs) of the results obtained since 1988 in a series of papers of Dynkin and Dynkin and Kuznetsov. Many results obtained originally by using superdiffusions are extended in the book to more general equations by applying a combination of diffusions with purely analytic methods. Almost all chapters involve a mixture of probability and analysis. Bookseller Inventory #

**Synopsis:** Interactions between the theory of partial differential equations of elliptic and parabolic types and the theory of stochastic processes are beneficial for both probability theory and analysis. At the beginning, mostly analytic results were used by probabilists. More recently, analysts (and physicists) took inspiration from the probabilistic approach. Of course, the development of analysis in general and of the theory of partial differential equations in particular, was motivated to a great extent by problems in physics. A difference between physics and probability is that the latter provides not only an intuition, but also rigorous mathematical tools for proving theorems. The subject of this book is connections between linear and semilinear differential equations and the corresponding Markov processes called diffusions and superdiffusions. Most of the book is devoted to a systematic presentation (in a more general setting, with simplified proofs) of the results obtained since 1988 in a series of papers of Dynkin and Dynkin and Kuznetsov. Many results obtained originally by using superdiffusions are extended in the book to more general equations by applying a combination of diffusions with purely analytic methods. Almost all chapters involve a mixture of probability and analysis. Similar to the other books by Dynkin, Markov Processes (Springer-Verlag), Controlled Markov Processes (Springer-Verlag), and An Introduction to Branching Measure-Valued Processes (American Mathematical Society), this book can become a classical account of the presented topics.

Title: **Diffusions, Superdiffusions and Partial ...**

Publisher: **American Mathematical Society**

Publication Date: **2002**

Binding: **Hardcover**

Book Condition: **New**

Published by
American Mathematical Society
(2002)

ISBN 10: 0821831747
ISBN 13: 9780821831748

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**Book Description **American Mathematical Society, 2002. Hardcover. Condition: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. May include supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Seller Inventory # mon0001069304

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**Book Description **American Mathematical Society. Condition: Very Good. Used - Very Good. Ex-library, but has been well cared for. Seller Inventory # Z1-G-023-01504

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**Book Description **American Mathematical Society, 2002. Condition: Very Good. Ships from the UK. Former Library book. Great condition for a used book! Minimal wear. Seller Inventory # GRP97754026

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**Book Description **American Mathematical Society, 2002. Hardcover. Condition: Used: Good. Seller Inventory # SONG0821831747

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**Book Description **American Mathematical Society, 2002. Condition: New. book. Seller Inventory # M0821831747

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**Book Description **American Mathematical Society. Hardback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780821831748

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**Book Description **American Mathematical Society, United States, 2002. Hardback. Condition: New. Language: English . Brand New Book. Interactions between the theory of partial differential equations of elliptic and parabolic types and the theory of stochastic processes are beneficial for both probability theory and analysis. At the beginning, mostly analytic results were used by probabilists. More recently, analysts (and physicists) took inspiration from the probabilistic approach. Of course, the development of analysis in general and of the theory of partial differential equations in particular, was motivated to a great extent by problems in physics. A difference between physics and probability is that the latter provides not only an intuition, but also rigorous mathematical tools for proving theorems. The subject of this book is connections between linear and semilinear differential equations and the corresponding Markov processes called diffusions and superdiffusions.Most of the book is devoted to a systematic presentation (in a more general setting, with simplified proofs) of the results obtained since 1988 in a series of papers of Dynkin and Dynkin and Kuznetsov. Many results obtained originally by using superdiffusions are extended in the book to more general equations by applying a combination of diffusions with purely analytic methods. Almost all chapters involve a mixture of probability and analysis. Similar to the other books by Dynkin, Markov Processes (Springer-Verlag), Controlled Markov Processes (Springer-Verlag), and An Introduction to Branching Measure-Valued Processes (American Mathematical Society), this book can become a classical account of the presented topics. Seller Inventory # AAN9780821831748

Published by
American Mathematical Society, United States
(2002)

ISBN 10: 0821831747
ISBN 13: 9780821831748

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**Book Description **American Mathematical Society, United States, 2002. Hardback. Condition: New. Language: English . Brand New Book. Interactions between the theory of partial differential equations of elliptic and parabolic types and the theory of stochastic processes are beneficial for both probability theory and analysis. At the beginning, mostly analytic results were used by probabilists. More recently, analysts (and physicists) took inspiration from the probabilistic approach. Of course, the development of analysis in general and of the theory of partial differential equations in particular, was motivated to a great extent by problems in physics. A difference between physics and probability is that the latter provides not only an intuition, but also rigorous mathematical tools for proving theorems. The subject of this book is connections between linear and semilinear differential equations and the corresponding Markov processes called diffusions and superdiffusions.Most of the book is devoted to a systematic presentation (in a more general setting, with simplified proofs) of the results obtained since 1988 in a series of papers of Dynkin and Dynkin and Kuznetsov. Many results obtained originally by using superdiffusions are extended in the book to more general equations by applying a combination of diffusions with purely analytic methods. Almost all chapters involve a mixture of probability and analysis. Similar to the other books by Dynkin, Markov Processes (Springer-Verlag), Controlled Markov Processes (Springer-Verlag), and An Introduction to Branching Measure-Valued Processes (American Mathematical Society), this book can become a classical account of the presented topics. Seller Inventory # AAN9780821831748

Published by
American Mathematical Society
(2002)

ISBN 10: 0821831747
ISBN 13: 9780821831748

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**Book Description **American Mathematical Society, 2002. HRD. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # CE-9780821831748

Published by
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**Book Description **American Mathematical Society, 2002. Hardcover. Condition: New. Never used!. Seller Inventory # P110821831747