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Regular version of the site

Article

Sandpiles on the heptagonal tiling

Journal of Knot Theory and Its Ramifications. 2016. Vol. 25. No. 12. P. 1-12.
Kalinin N., Shkolnikov M.

 

We study perturbations of the maximal stable state in a sandpile model on the set of faces of the heptagonal tiling on the hyperbolic plane. An explicit description for relaxations of such states is given.