The Mathematics of Chip-Firing

ISBN-13: 9781138634091 / Angielski / Miękka / 2018 / 296 str.

Caroline J. Klivans

Opis

This book provides an introduction and overview of the growing area of chip-firing. It offers an appreciation for the richness and diversity of chip-firing. 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. Working over the simplest type of network, basic properties 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. This book provides a solid background to approach original sources.

O autorze

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 combinatorics.