5 citations · 9 across the 7 of their papers we have counts for
8 papers
General Properties of the Thermo-Metric for CV event manifolds and the magnetization combinatorial scheme
Pietro Fre, Alexander S. Sorin, Mario Trigiante
Following previous results recently obtained by us, on Information Geometry versus Geometrical Thermodynamics and on the exact calculation of partition functions for extended Souri…
The macroscopic Kaehler metric of Geometric Thermodynamics versus the microscopic one on the Event Manifold: Exact Partition Functions on CV manifolds. Extended Souriau temperatures and spontaneous magnetizations
Pietro Fré, Alexander S. Sorin, Mario Trigiante
In this paper we clarify the relation between Geometric Thermodynamics and Information Geometry based on the Fisher matrix. On the macroscopic odd-dimensional contact manifold of t…
Thermodynamics a la Souriau on Kähler Non Compact Symmetric Spaces for Cartan Neural Networks
Pietro G. Fré, Alexander S. Sorin, Mario Trigiante
In this paper, we clarify several issues concerning the abstract geometrical formulation of thermodynamics on non compact symmetric spaces that are the mathematical…
Hyperinstantons, the Beltrami Equation, and Triholomorphic Maps
P. Fré, P. A. Grassi, A. S. Sorin
We consider the Beltrami equation for hydrodynamics and we show that its solutions can be viewed as instanton solutions of a more general system of equations. The latter are the eq…
2-branes with Arnold-Beltrami Fluxes from Minimal D=7 Supergravity
Pietro Fre, Alexander S. Sorin
We describe this paper as a Sentimental Journey from Hydrodynamics to Supergravity. Beltrami equation in three dimensions that plays a key role in the hydrodynamics of incompressib…
Classification of Arnold-Beltrami Flows and their Hidden Symmetries
Pietro Fre, Alexander S. Sorin
In the context of mathematical hydrodynamics, we consider the group theory structure which underlies the ABC-flow introduced by Beltrami, Arnold and Childress. Beltrami equation is…