2 papers
math.DG2025
On the geometry of profinite diffeological spaces
Anahita Eslami-Rad, Jean-Pierre Magnot, Enrique G. Reyes
We consider the class of profinite diffeological spaces, that is, diffeological spaces which diffeologies are deduced by pull-back of diffeologies on finite-dimensional manifolds t…
math-ph2024
Kadomtsev-Petviashvili hierarchies with non-formal pseudo-differential operators, non-formal solutions, and a Yang-Mills--like formulation
Jean-Pierre Magnot, Enrique G. Reyes
We start from the classical Kadomtsev-Petviashvili hierarchy posed on formal pseudo-differential operators, and we produce two hierarchies of non-linear equations posed on non-form…