Seite - 48 - in Differential Geometrical Theory of Statistics

Entropy2016,18, 370 47. Shannon,C.E.Amathematical theoryofcommunication.BellSyst. Tech. J.1948,27, 379–423,623–656. 48. Jaynes,E.T. Informationtheoryandstatisticalmechanics.Phys. Rev. 1957,106, 620–630. 49. Jaynes,E.T. Informationtheoryandstatisticalmechanics II.Phys. Rev. 1957,108, 171–190. 50. Balian,R. Information instatisticalphysics.Stud.Hist. Philos.Mod. Phys. PartB2005,36, 323–353. 51. Poincaré, H. Sur le problème des trois corps et les équations de la dynamique. Acta Math. 1890, doi:10.1007/BF02392506. (InFrench) 52. Kinetic Theory. Available online: http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/kinthe.html (accessedon11October2016). 53. Gastebois,G.ThéorieCinétiquedesGaz.Availableonline: http://gilbert.gastebois.pagesperso-orange.fr/ java/gaz/gazparfait/theorie_gaz.pdf (accessedon11October2016). (InFrench) 54. Synge, J.L.TheRelativisticGas;NorthHollandPublishingCompany:Amsterdam,TheNetherlands,1957. 55. Massieu, F. Sur les Fonctions caractéristiquesdesdiversfluides. C.R.Acad. Sci. Paris 1869, 69, 858–862. (InFrench) 56. Massieu,F.AdditionauprécédentMémoiresur lesFonctionscaractéristiques.C.R.Acad.Sci.Paris1869,69, 1057–1061. (InFrench) 57. Massieu,F.Thermodynamique.Mémoire sur lesFonctionsCaractéristiquesdesDiversFluides et sur laThéoriedes Vapeurs;AcadémiedesSciences: Paris,France,1876;pp.1–92. (InFrench). 58. Balian, R. FrançoisMassieu et les Potentiels Thermodynamiques; Évolution desDisciplines etHistoire des Découvertes;AcadémiedesSciences: Paris,France,2015. (InFrench) 59. Callen,H.B.ThermodynamicsandanIntroduction toThermostatics, 2nded.; JohnWileyandSons:NewYork, NY,USA,1985. 60. Barbaresco, F. Koszul information geometry and Souriau geometric temperature/capacity of lie group thermodynamics.Entropy2014,16, 4521–4565. 61. Barbaresco, F. Geometric theory of heat from Souriau lie groups thermodynamics and koszul hessian geometry: Applications in information geometry for exponential families. Entropy 2016, doi:10.20944/preprints201608.0078.v1. 62. DeSaxcé,G.;Vallée,C.Bargmanngroup,momentumtensorandGalilean invarianceofClausius-Duhem inequality. Int. J.Eng. Sci. 2012,50, 216–232. 63. Jacobi, C.G.J. Sur le mouvement d’un point et sur un cas particulier du problème des trois corps. C.R.Acad.Sci. 1836,3, 59–61. (InFrench) 64. DeSaxcé,G.Entropyandstructureforthethermodynamicsystems. InGeometricScienceof Information,Second InternationalConferenceGSI2015Proceedings;Nielsen,F.,Barbaresco,F.,Eds.;LectureNotes inComputer Science;Springer: Berlin/Heidelberg,Germany,2015;Volume9389,pp. 519–528. 65. DeSaxcé,G.Linkbetweenliegroupstatisticalmechanicsandthermodynamicsofcontinua.Entropy2016, doi:10.3390/e18070254. c©2016bytheauthor. LicenseeMDPI,Basel,Switzerland.Thisarticle isanopenaccess articledistributedunder the termsandconditionsof theCreativeCommonsAttribution (CCBY) license (http://creativecommons.org/licenses/by/4.0/). 48