Stefano Mereta

most citedThe Fundamental theorem of tropical differential algebra over nontrivially valued fields and the radius of convergence of nonarchimedean differential equations

1 citations · 1 across the 4 of their papers we have counts for

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math.AG2026

About finite differential tropical basis for linear ODE's

Stefano Mereta, Alejandro Vargas

We formulate several open questions regarding the tropicalization of linear ODEs, aiming primarily to develop methods for calculating the radius of convergence of their classical s…

math.AG2026

On the fibers and semi-algebraicity of ReLU neuromanifolds

Axel Flinth, Stefano Mereta, Michele Pernice

We study the semi-algebraicity of the neuromanifold $M_{d}$ of a feedforward ReLU neural network and its symmetries. We prove that $M_{d}$ is not…

math.AG2026★ 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…