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Titlebook: Geometric Structures of Statistical Physics, Information Geometry, and Learning; SPIGL‘20, Les Houche Frédéric Barbaresco,Frank Nielsen Con

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發(fā)表于 2025-3-23 10:31:30 | 只看該作者
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https://doi.org/10.1007/978-3-322-88176-2nder the title “Structure of Dynamical Systems, a Symplectic View of Physics”, is a work with an exceptional wealth which, fifty years after its publication, is still topical. In this paper, we give a brief description of its content and we intend to highlight the ideas that to us, are the most crea
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發(fā)表于 2025-3-23 23:38:43 | 只看該作者
,überlagerung von Potentialstr?mungen,“Lie groups thermodynamics”. This model was initially described in chapter IV “Statistical Mechanics” of his book “Structure of dynamical systems” published in 1969. We have translated in English some parts of three Souriau’s publications which provide more details about this geometric model of Ther
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發(fā)表于 2025-3-24 06:06:07 | 只看該作者
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發(fā)表于 2025-3-24 23:09:12 | 只看該作者
Simon E. Coppard,Juan José Alvaradok is formed of the trio described in Prologue. Statistical models form a subcategory of the category of statistical manifolds. Intuitively, think of the notion of Foliation as (geometrical or topological) study of (discrete, continuous or differentiable) partitions. The Geometry of Statistical manif
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