Random Growth Models (Proceedings of Symposia in Applied Mathematics) - Hardcover

 
9781470435530: Random Growth Models (Proceedings of Symposia in Applied Mathematics)
Hardcover
ISBN 10: 1470435535 ISBN 13: 9781470435530
Verlag: American Mathematical Society, 2018

Inhaltsangabe

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.

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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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Verlag
American Mathematical Society
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
1470435535
ISBN 13 
9781470435530
Einband
Tapa dura
Anzahl der Seiten
260
Herausgeber
Damron Michael, Rassoul-Agha Firas, Seppalainen Timo
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar