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Limits of Equi-Affine Equi-Distant Loci of Planar Convex Domains with Two Non-Parallel Asymptotes
Nikita Kalinin, Mikhail Shkolnikov
In this note, we introduce equi-affine invariants by averaging over the space of tropical structures of fixed covolume. Applied to the tropical distance series, this construction p…
math-ph2025
Algebraic Limits of Sandpiles
Mikhail Shkolnikov
The paper contributes to building algebraic foundations of self-organized criticality answering a previously unsolved question about the limiting structure of the extended sandpile…