9 citations · 11 across the 25 of their papers we have counts for
14 papers · 1 filter
Information Loss under Gauge Reduction of Discrete Electromagnetic Fields
Jean-Pierre Magnot
We study relative entropy under gauge reduction in Whitney-discretized electromagnetism. The discrete Hodge decomposition separates exact gauge directions from harmonic and coexact…
Chern--Simons Fluctuations and Information Geometry in Discrete Electromagnetism
Jean-Pierre Magnot
We construct helicity-conditioned statistical states for a Whitney-discretized electromagnetic field on a closed oriented three-manifold. The simplicial de Rham complex provides ex…
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 invariant…
Graph-Series Semantics and Abel Regularization for Recursive Hybrid Quantum Programs
Jean-Pierre Magnot
We introduce a graded graph-series semantics for recursive hybrid quantum programs interpreted in the quantum orchestra monad. Finite terminating executions are represented by dire…
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…