Synopsis
Theoretical physicists have predicted that the scaling limits of many two-dimensional lattice models in statistical physics are in some sense conformally invariant. This belief has allowed physicists to predict many quantities for these critical systems. The nature of these scaling limits has recently been described precisely by using one well-known tool, Brownian motion, and a new construction, the Schramm-Loewner evolution (SLE). This book is an introduction to the conformally invariant processes that appear as scaling limits. The following topics are covered: stochastic integration; complex Brownian motion and measures derived from Brownian motion; conformal mappings and univalent functions; the Loewner differential equation and Loewner chains; the Schramm-Loewner evolution (SLE), which is a Loewner chain with a Brownian motion input; and applications to intersection exponents for Brownian motion. The prerequisites are first-year graduate courses in real analysis, complex analysis, and probability. The book is suitable for graduate students and research mathematicians interested in random processes and their applications in theoretical physics.
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Conformally Invariant Processes in the Plane (Volume 114)
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ISBN 10: 0821846248
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Conformally Invariant Processes in the Plane (Mathematical Surveys and Monographs)
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Conformally Invariant Processes in the Plane
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Paperback. Condition: New. Theoretical physicists have predicted that the scaling limits of many two-dimensional lattice models in statistical physics are in some sense conformally invariant. This belief has allowed physicists to predict many quantities for these critical systems. The nature of these scaling limits has recently been described precisely by using one well-known tool, Brownian motion, and a new construction, the Schramm-Loewner evolution (SLE). This book is an introduction to the conformally invariant processes that appear as scaling limits. The following topics are covered: stochastic integration; complex Brownian motion and measures derived from Brownian motion; conformal mappings and univalent functions; the Loewner differential equation and Loewner chains; the Schramm-Loewner evolution (SLE), which is a Loewner chain with a Brownian motion input; and applications to intersection exponents for Brownian motion. The prerequisites are first-year graduate courses in real analysis, complex analysis, and probability. The book is suitable for graduate students and research mathematicians interested in random processes and their applications in theoretical physics. Seller Inventory # LU-9780821846247
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Conformally Invariant Processes in the Plane
Published by
American Mathematical Society, 2008
ISBN 10: 0821846248
ISBN 13: 9780821846247
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Condition: New. Presents an introduction to the conformally invariant processes that appear as scaling limits. This book covers such topics as stochastic integration, and complex Brownian motion and measures derived from Brownian motion. It is suitable for those interested in random processes and their applications in theoretical physics. Series: Mathematical Surveys and Monographs. Num Pages: 242 pages. BIC Classification: PBK; PBT; PHU. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 258 x 181 x 19. Weight in Grams: 458. . 2008. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821846247
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Conformally Invariant Processes in the Plane
Published by
American Mathematical Society, US, 2008
ISBN 10: 0821846248
ISBN 13: 9780821846247
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Seller: Rarewaves.com UK, London, United Kingdom
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Paperback. Condition: New. Theoretical physicists have predicted that the scaling limits of many two-dimensional lattice models in statistical physics are in some sense conformally invariant. This belief has allowed physicists to predict many quantities for these critical systems. The nature of these scaling limits has recently been described precisely by using one well-known tool, Brownian motion, and a new construction, the Schramm-Loewner evolution (SLE). This book is an introduction to the conformally invariant processes that appear as scaling limits. The following topics are covered: stochastic integration; complex Brownian motion and measures derived from Brownian motion; conformal mappings and univalent functions; the Loewner differential equation and Loewner chains; the Schramm-Loewner evolution (SLE), which is a Loewner chain with a Brownian motion input; and applications to intersection exponents for Brownian motion. The prerequisites are first-year graduate courses in real analysis, complex analysis, and probability. The book is suitable for graduate students and research mathematicians interested in random processes and their applications in theoretical physics. Seller Inventory # LU-9780821846247
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Conformally Invariant Processes in the Plane
Published by
American Mathematical Society, 2008
ISBN 10: 0821846248
ISBN 13: 9780821846247
New
Softcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. Presents an introduction to the conformally invariant processes that appear as scaling limits. This book covers such topics as stochastic integration, and complex Brownian motion and measures derived from Brownian motion. It is suitable for those interested in random processes and their applications in theoretical physics. Series: Mathematical Surveys and Monographs. Num Pages: 242 pages. BIC Classification: PBK; PBT; PHU. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 258 x 181 x 19. Weight in Grams: 458. . 2008. Paperback. . . . . Seller Inventory # V9780821846247