Abelian sandpile model and pattern formation

Lectures at the INFOSYS-Chandrashekharan Random Geometry Centre. July-Aug, 2021

Lecture notes and reference materials

Lecture note

           Pdf of the first Lecture Note              
           Pdf of the second Lecture Note              
           Pdf of the third Lecture Note              
           Pdf of the fourth Lecture Note              

Reference materials and codes

                   Related articles, examples of patterns, and python codes are in this dropbox folder.

questions   2

About

A set of four lectures I gave to mathematics audience about self-organized criticality, Abelian sandpile algebra, and mathematical characterization of complex patterns in sandpile models. The discussion involves Tropical algebra, Apollonian circle packing, discrete holomorphic functions, Sandpile group, spanning tree, Potts model, and other topics.