Inhaltsangabe
Six papers written for the January 2017 course offered during the AMS Joint Mathematics Meetings showcase recent breakthroughs in a class of stochastic growth models called first- and last-passage percolation and their relations to particle systems and the KPZ equation. Intended for graduate students and researchers, the collection explores the limit shape of a growth model, the question of fluctuations, the structure of optimizing paths, and the distributional properties of Busemann functions. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
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Über die Autorin bzw. den Autor
Michael Damron, Georgia Institute of Technology, Atlanta, GA.
Firas Rassoul-Agha, University of Utah, Salt Lake City, UT.
Timo Seppalainen, University of Wisconsin, Madison, WI.
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Random Growth Models (Hardcover)
Verlag:
American Mathematical Society, Providence, 2018
ISBN 10: 1470435535
ISBN 13: 9781470435530
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Hardcover. Zustand: new. Hardcover. The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics.This volume is based on lectures delivered at the 2017 AMS Short Course ``Random Growth Models'', held January 2-3, 2017 in Atlanta, GA.The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth. Based on lectures delivered at the 2017 AMS Short Course Random Growth Models, held in 2017. The articles give an introduction to the most-studied models; first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781470435530
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Random Growth Models (Hardcover)
Verlag:
American Mathematical Society, Providence, 2018
ISBN 10: 1470435535
ISBN 13: 9781470435530
Neu
Hardcover
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Hardcover. Zustand: new. Hardcover. The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics.This volume is based on lectures delivered at the 2017 AMS Short Course ``Random Growth Models'', held January 2-3, 2017 in Atlanta, GA.The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth. Based on lectures delivered at the 2017 AMS Short Course Random Growth Models, held in 2017. The articles give an introduction to the most-studied models; first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9781470435530
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Random Growth Models (Proceedings of Symposia in Applied Mathematics)
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American Mathematical Society, 2018
ISBN 10: 1470435535
ISBN 13: 9781470435530
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Hardcover
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