On symmetric sandpiles
<|reference_start|>On symmetric sandpiles: A symmetric version of the well-known SPM model for sandpiles is introduced. We prove that the new model has fixed point dynamics. Although there might be several fixed points, a precise description of the fixed points is given. Moreover, we provide a simple closed formula for counting the number of fixed points originated by initial conditions made of a single column of grains.<|reference_end|>
@article{formenti2006on,
    title={On symmetric sandpiles},
    author={Enrico Formenti (I3S), Beno^it Masson (I3S), Theophilos Pisokas (I3S)},
    journal={arXiv preprint arXiv:cs/0606120},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0606120},
    primaryClass={cs.CC cs.PF}
}