2 papers
math.DS2024
A family of maps and a vector field on plane polygons
Maxim Arnold, Lael Costa, Serge Tabachnikov
We study, theoretically and experimentally, a 1-parameter family of transformations and their limiting vector field on the space of plane polygons. These transformations are discre…
nlin.CG2012
Notes on identical configurations in Abelian Sandpile Model with initial height
Maxim Arnold
The aim of this note is to systematize our knowledge about identical configurations of ASM.