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math.AG2023
The fundamental theorem of tropical differential algebra for formal Puiseux series
Sebastian Falkensteiner, Stefano Mereta
The fundamental theorem of tropical differential algebra has been established for formal power series solutions of systems of algebraic differential equations. It has been shown th…
math.CO2023
Higher-dimensional cubical sliding puzzles
Moritz Beyer, Stefano Mereta, Érika Roldán +1
We introduce higher-dimensional cubical sliding puzzles that are inspired by the classical 15 Puzzle from the 1880s. In our puzzles, on a -dimensional cube, a labeled token can…
math.AG2023★ 1 cited
The Fundamental theorem of tropical differential algebra over nontrivially valued fields and the radius of convergence of nonarchimedean differential equations
Francesco Gallinaro, Stefano Mereta
We prove a fundamental theorem for tropical partial differential equations, analogous to the fundamental theorem of tropical geometry in this context. We extend results from Aroca…