Ambiguity theory, old and new
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math.NT
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theorysomeambiguityanalysisarithmeticcomplexdevelopmentsfield
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This is a introductory survey of some recent developments of "Galois ideas" in Arithmetic, Complex Analysis, Transcendental Number Theory and Quantum Field Theory, and of some of their interrelations.
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The Poincar\'e-Boltzmann Machine: from Statistical Physics to Machine Learning and back
Information cohomology is computed in low degrees to establish multivariate mutual informations as k-coboundaries, with simplicial structures yielding free-energy interpretations and a topological minimum free energy complex.
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