Skip to Main content Skip to Navigation
Conference papers

Structure of Stable Sand Piles Model

Abstract : In this paper we study a variant of the Sand Piles Model, where the evolution rule consists of the falling down of one grain to a random column and an avalanche to reach a stable configuration. We prove that the infinite set of all stable configurations have a lattice structure which is a sublattice of Young lattice. At the end, based on a discussion about avalanches, we construct a generating tree of this model and show its strongtly recursive structure.
Complete list of metadata

Cited literature [7 references]  Display  Hide  Download
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Monday, August 17, 2015 - 2:23:57 PM
Last modification on : Saturday, November 20, 2021 - 3:49:33 AM
Long-term archiving on: : Wednesday, November 18, 2015 - 12:07:42 PM


Publisher files allowed on an open archive




Thi Ha Duong Phan, Thi Thu Huong Tran. Structure of Stable Sand Piles Model. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.407-410, ⟨10.46298/dmtcs.3493⟩. ⟨hal-01184697⟩



Record views


Files downloads