Harmonic dynamics of the abelian sandpile

Self-organized criticality and pattern emergence through the lens of tropical geometry

(2018) N. Kalinin et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Tropical curves in sandpiles

(2016) Nikita Kalinin et al.   COMPTES RENDUS MATHEMATIQUE

Apollonian structure in the Abelian sandpile

(2016) Lionel Levine et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

25 Years of Self-Organized Criticality: Solar and Astrophysics

(2014) Markus J. Aschwanden et al.   SPACE SCIENCE REVIEWS

Convergence of the Abelian sandpile

(2013) Wesley Pegden et al.   DUKE MATHEMATICAL JOURNAL

Conservation laws for strings in the Abelian Sandpile Model

(2010) S. Caracciolo et al.   EPL

Growth Rates and Explosions in Sandpiles

(2009) Anne Fey et al.   JOURNAL OF STATISTICAL PHYSICS

Explicit characterization of the identity configuration in an Abelian sandpile model

(2008) Sergio Caracciolo et al.   Journal of Physics A-Mathematical and Theoretical