22 citations · 87 across the 30 of their papers we have counts for
33 papers
On diffeologies for power sets and measures
Alireza Ahmadi, Jean-Pierre Magnot
We consider a differential geometric setting on power sets and Borel algebras. Our chosen framework is based on diffeologies, and we make a link between the various diffeological s…
On diffeologies from infinite dimensional geometry to PDE constrained optimization
Nico Goldammer, Jean-PIerre Magnot, Kathrin Welker
We review how diffeologies complete the settings classically used from infinite dimensional geometry to partial differential equations, based on classical settings of functional an…
Frolicher structures, diffieties, and a formal KP hierarchy
Jean-Pierre Magnot, Enrique G. Reyes, Vladimir Rubtsov
We propose a definition of a diffiety based on the theory of Frolicher structures. As a consequence, we obtain a natural Vinogradov sequence and, under the assumption of the existe…
On the geometry of diffeological vector pseudo-bundles and infinite dimensional vector bundles: automorphisms, connections and covariant derivatives
Jean-Pierre Magnot
We consider here the category of diffeological vector pseudo-bundles, and study a possible extension of classical differential geometric tools on finite dimensional vector bundles,…
On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
Jean-Pierre Magnot
We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give few results on…
Contributions to infinite dimensional geometry and analysis
Jean-Pierre Magnot
The works prsented in this habilitation thesis can be gathered in six themes. Works on the implicit function theorem and the geometry of numerical schemes. On the existence of an e…