间谍活动
发表于 2025-3-26 23:16:04
Jean-Marie Souriau’s Symplectic Model of Statistical Physics: Seminal Papers on Lie Groups Thermodyn“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
accrete
发表于 2025-3-27 02:18:00
Souriau-Casimir Lie Groups Thermodynamics and Machine Learningel considers the statistical mechanics of dynamic systems in their “space of evolution” associated to a homogeneous symplectic manifold by a Lagrange 2-form, and defines in case of non-null cohomology (non equivariance of the coadjoint action on the moment map with appearance of an additional cocyle
aggravate
发表于 2025-3-27 07:47:56
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冬眠
发表于 2025-3-27 09:40:42
Wrapped Statistical Models on Manifolds: Motivations, The Case ,(,), and Generalization to Symmetric by briefly reviewing the different approaches to build densities on a manifold and shows the interest of wrapped distributions. We then construct wrapped densities on .(.) and discuss their statistical estimation. We conclude by an opening to the case of symmetric spaces.
dithiolethione
发表于 2025-3-27 14:49:33
Galilean Thermodynamics of Continuansion space. The entropy is generalized as a 4-vector and the temperature as a 5-vector. The introduction of the friction and momentum tensors allows to obtain a covariant formulation of the first and second principles of Thermodynamics.
acquisition
发表于 2025-3-27 19:17:58
Nonparametric Estimations and the Diffeological Fisher Metricnd slightly extending Lê’s theory in [.] to include weakly .-diffeological statistical models. Then we introduce the resulting notions of the diffeological Fisher distance, the diffeological Hausdorff–Jeffrey measure and explain their role in classical and Bayesian nonparametric estimation problems
欢乐东方
发表于 2025-3-27 22:10:17
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Parameter
发表于 2025-3-28 05:34:41
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被诅咒的人
发表于 2025-3-28 08:29:03
Dirac Structures and Variational Formulation of Thermodynamics for Open Systemsmics (see, [., .]). We specifically focus on the case of simple and open systems, in which the thermodynamic state is represented by one single entropy and the transfer of matter and heat with the exterior is included. We clarify the geometric structure by introducing an induced Dirac structure on t
新星
发表于 2025-3-28 12:04:55
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