Kadanoff sand pile model. Avalanche structure and wave shape

K Perrot, É Rémila - Theoretical Computer Science, 2013 - Elsevier
Sand pile models are dynamical systems describing the evolution from N stacked grains to a
stable configuration. It uses local rules to depict grain moves and iterate it until reaching a …

Transduction on Kadanoff sand pile model avalanches, application to wave pattern emergence

K Perrot, E Rémila - … on Mathematical Foundations of Computer Science, 2011 - Springer
Sand pile models are dynamical systems describing the evolution from N stacked grains to a
stable configuration. It uses local rules to depict grain moves and iterate it until reaching a …

Avalanche structure in the kadanoff sand pile model

K Perrot, E Rémila - International Conference on Language and Automata …, 2011 - Springer
Sand pile models are dynamical systems emphasizing the phenomenon of Self Organized
Criticality (SOC). From N stacked grains, iterating evolution rules leads to some critical …

Strong emergence of wave patterns on Kadanoff sandpiles

K Perrot, E Rémila - The Electronic Journal of Combinatorics, 2017 - combinatorics.org
Emergence is easy to exhibit, but very hard to formally explain. This paper deals with square
sand grains moving around on nicely stacked columns in one dimension (the physical …

Emergence of wave patterns on kadanoff sandpiles

K Perrot, É Rémila - LATIN 2014: Theoretical Informatics: 11th Latin …, 2014 - Springer
Emergence is a concept that is easy to exhibit, but very hard to formally handle. This paper is
about cubic sand grains moving around on nicely packed columns in one dimension (the …

Kadanoff sand piles, following the snowball

K Perrot, É Rémila - arXiv preprint arXiv:1301.0997, 2013 - arxiv.org
This paper is about cubic sand grains moving around on nicely packed columns in one
dimension (the physical sand pile is two dimensional, but the support of sand columns is …