Abstract
We show that the patterns in the Abelian sandpile are stable. The proof combines the structure theory for the patterns with the regularity machinery for non-divergence form elliptic equations. The stability results allow one to improve weak-$$*$$ convergence of the Abelian sandpile to pattern convergence for certain classes of solutions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have