Apollonian structure in the Abelian sandpile

The Abelian sandpile process evolves configurations of chips on the integer lattice by toppling any vertex with at least 4 chips, distributing one of its chips to each of its 4 neighbors. When begun from a large stack of chips, the terminal state of the sandpile has a curious fractal structure which...

Full description

Bibliographic Details
Main Authors: Levine, Lionel (Author), Pegden, Wesley (Author), Smart, Charles (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer International Publishing, 2017-02-16T19:07:29Z.
Subjects:
Online Access:Get fulltext