We consider two new granular dynamical systems obtained from the Sand Pile Model SPM(n) by adding a smoothness condition. First, we define the Smooth Sand Pile Model SmSPM(n) and we provide a characterization of the reachable states, together with some interesting properties of the resulting lattice. Then we extend it to SmSPM∗(n), a related dynamical system with a more complex lattice structure.

A New Sandpile Model with Smoothness Assumptions

MASSAZZA, PAOLO
2016-01-01

Abstract

We consider two new granular dynamical systems obtained from the Sand Pile Model SPM(n) by adding a smoothness condition. First, we define the Smooth Sand Pile Model SmSPM(n) and we provide a characterization of the reachable states, together with some interesting properties of the resulting lattice. Then we extend it to SmSPM∗(n), a related dynamical system with a more complex lattice structure.
2016
http://www.iospress.nl/
discrete dynamical system; sand piles; Information Systems; Computational Theory and Mathematics; Theoretical Computer Science; Algebra and Number Theory
Brocchi, Stefano; Massazza, Paolo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2043908
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