Self-erasing perturbations of Abelian sandpiles.
We investigate generalized seeding of the attracting states of Abelian sandpile automata and find there exists a class of global perturbations of such automata that are completely removed by the natural local dynamics. We derive a general form for such self-erasing perturbations and demonstrate that they can be highly nontrivial. This phenomenon provides a different conceptual framework for studying such automata and suggests possible applications for data protection and encryption.
Moffitt
Jeffrey R
JR
Department of Physics, The College of Wooster, Wooster, Ohio 44691-2363, USA.
Macdonald
Patrick
P
Lindner
John F
JF