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math.CO2000★ 1 cited
The structure of Chip Firing Games and related models
Eric Goles, Michel Morvan, Ha Duong Phan
In this paper, we study the dynamics of sand grains falling in sand piles. Usually sand piles are characterized by a decreasing integer partition and grain moves are described in t…
nlin.CG2000★ 31 cited
The Lattice structure of Chip Firing Games and Related Models
M. Latapy, H. D. Phan
In this paper, we study a famous discrete dynamical system, the Chip Firing Game, used as a model in physics, economics and computer science. We use order theory and show that the…