Cornell University

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CAM Colloquium: Charles Smart (Cornell) - The Abelian sandpile on periodic Euclidean graphs

Friday, March 20, 2015 at 3:30pm

Frank H. T. Rhodes Hall, 655

I will discuss joint work with Lionel Levine and Wesley Pegden. The Abelian sandpile is a deterministic diffusion process on graphs originally designed to model self-organized criticality. On periodic graphs, the sandpile generates approximations of striking fractal images. Our work identifies the scaling limit of the sandpile. The algebraic character of the limit explains the appearance of the fractal images. Our methods involve a mixture of pure mathematics and computational exploration.

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Event Type

Seminar

Departments

Cornell Engineering, Mathematics, Center for Applied Mathematics

Tags

engineering, math, center for applied math, cam, mathematics

Website

http://www.cam.cornell.edu

Speaker

Charles Smart

Speaker Affiliation

Department of Mathematics, Cornell University

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