9 citations · 15 across the 26 of their papers we have counts for
8 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…
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…
Remarks on pairwise comparisons, transition amplitudes, and qubit states
Jean-Pierre Magnot
We discuss a pairwise-comparison viewpoint on finite families of qubit states. Starting from transition amplitudes between pure states, we distinguish three associated levels of co…
A Lorentzian SU(3)-covariant noncommutative KP hierarchy and hypercomplex gauge fields
Jean-Pierre Magnot
We propose a formal framework for a noncommutative Kadomtsev--Petviashvili (KP) hierarchy which is covariant under the action of and compatible with a Lorentzian structure…
Poisson structures on weak Sobolev loop spaces and applications to integrable systems
Jean-Pierre Magnot
We develop a framework for Poisson geometry on loop spaces of low regularity, extending Mokhov's classical constructions from smooth loops to weak Sobolev spaces $W^{s,p}(\mathbb{S…
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…
The six blinds and the elephant or an interdisciplinary selection of measurement features
Ask Ellingsen, Douglas Lundholm, Jean-Pierre Magnot
We propose here selected actual features of measurement problems based on our concerns in our respective fields of research. Their technical similarity in apparently disconnected f…