From the 1 of 19 linked papers with an AI index.
19 papers
Diffeological Tangent Spaces and Distributional Linearization for Lifted Euler--Reynolds Limits
Alireza Ahmadi, Jean-Pierre Magnot, Bijan Davvaz
We develop a diffeological framework for the geometry of Euler--Reynolds subsolutions of the incompressible Euler equations. Passing to a lifted formulation in which the velocity,…
Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds
Jean-Pierre Magnot
We propose a geometric--analytic framework for equilibrium statistical mechanics on infinite-dimensional Hamiltonian systems. In situations where no suitable -additive invarian…
Graph-Series Semantics and Abel Regularization for Recursive Hybrid Quantum Programs
Jean-Pierre Magnot
The paper proposes a graded graph‑series semantics for recursive hybrid quantum programs, linking execution paths to quantum orchestras and introducing an Abel‑regularised approach…
Diffeologies on Locally Convex Spaces and Smooth Multiplication of Distributions
Alireza Ahmadi, Bijan Davvaz, Jean-Pierre Magnot
We investigate the canonical and -diffeologies on Hausdorff locally convex spaces and their applications to Schwartz distributions. We prove that a Hausdorff locally conv…
Spectral Cut-off Oscillatory Integrals for Non-Autonomous Hamiltonian Evolution Equations
Jean-Pierre Magnot
We develop a spectral cut-off and time-slicing construction for non-autonomous Hamiltonian evolution equations. Let \(H_0\) be a positive self-adjoint reference operator with compa…
Spherical Milnor Spaces II: Projective Quotients and Higher Topological Structures
Jean-Pierre Magnot
We introduce a spherical variant of Milnor's classifying construction for diffeological groups, based on quadratic normalization of barycentric coordinates. This construction gives…