Title

Playing with Abelian Sandpiles

Date

5-28-2015 8:50 AM

End Time

28-5-2015 9:05 AM

Location

Math & Nursing Building (MNB) 104

Department

Mathematics

Session Chair

Cheryl Beaver

Session Title

Mathematics Senior Project Presentations

Faculty Sponsor(s)

Breeann Flesch

Presentation Type

Presentation

Abstract

Imagine yourself on a beach, playing in the sand. You begin to make a sandpile by adding handfuls of sand. Now you consider dropping another grain of sand onto the pile but you don’t know what will happen. It may cause nothing to happen or it may cause the entire pile to collapse in a massive avalanche. This is the idea behind the Abelian sandpile model. We measure the sizes of these avalanches and build what is called the avalanche polynomial. This topic is based on graph theory and enumerative combinatorics.

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May 28th, 8:50 AM May 28th, 9:05 AM

Playing with Abelian Sandpiles

Math & Nursing Building (MNB) 104

Imagine yourself on a beach, playing in the sand. You begin to make a sandpile by adding handfuls of sand. Now you consider dropping another grain of sand onto the pile but you don’t know what will happen. It may cause nothing to happen or it may cause the entire pile to collapse in a massive avalanche. This is the idea behind the Abelian sandpile model. We measure the sizes of these avalanches and build what is called the avalanche polynomial. This topic is based on graph theory and enumerative combinatorics.