000			nam a22 7a 4500
999			_c29558 _d29558
008			190528b xxu||||| |||| 00| 0 eng d
020			_a9781138634091 _c(pbk)
082			_a511.5 _bKLI
100			_aKlivans, Caroline J.
245			_aMathematics of chip-firing
260			_aBoca Raton : _bCRC press, _c2019
300			_axii, 295 p. : _bill. ; _c23 cm.
365			_aGBP _b88.99 _d00
490			_aDiscrete mathematics and its applications
504			_aIncludes bibliographical references and index.
520			_aThe Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system -- a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatoric
650			_aGraph theory
650			_aCombinatorial analysis
650			_aAbelian groups
650			_aSequences
942			_2ddc _cBK