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Author

Jean-Pierre Magnot

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Open access Sep 2026

Reduced Feynman propagators for Schrödingerized ill-posed dynamics

Schrödingerization maps a non-unitary linear evolution to a unitary dynamics on an enlarged Hilbert space. For ill-posed equations, such as backward diffusion, this does not remove the instability of the recovered physical variable, but it makes the phase-space language of quantum propagation available. We show that th...

Jean-Pierre Magnot · 0 citations
Preprint Jul 2026

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds

We propose a geometric--analytic framework for equilibrium statistical mechanics on infinite-dimensional Hamiltonian systems. In situations where no suitable $\sigma$-additive invariant measure is available, we use \emph{normalized means}, which generalize probability measures and normalized integrals. This constructio...

Jean-Pierre Magnot · 0 citations

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