Stability of Patterns in the Abelian Sandpile

Author:

Pegden Wesley,Smart Charles K.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Reference16 articles.

1. Pegden, W., Smart, C.K.: Convergence of the Abelian Sandpile. Duke Math. J. (To appear). arXiv:1105.0111

2. Ostojic, S.: Patterns formed by addition of grains to only one site of an abelian sandpile. Physica A 318(1), 187–199 (2003)

3. Dhar, D., Sadhu, T., Chandra, S.: Pattern formation in growing sandpiles. Europhys. Lett. 85(4), 48002 (2009). arXiv:0808.1732

4. Kalinin, N., Shkolnikov, M.: Tropical curves in sandpiles. Preprint (2015). arXiv:1509.02303

5. Levine, L., Pegden, W., Smart, C.K.: Apollonian structure in the Abelian sandpile. Preprint (2012). arXiv:1208.4839

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