Seite - 455 - in Differential Geometrical Theory of Statistics

Entropy2016,18, 110 23. Clark,R.;Roberts, I.Acomputationalmodelof language learnabilityandlanguagechange.Linguist. Inq. 1993,24, 299–345. 24. Manin,Y.I.;Marcolli,M.Error-correctingcodesandphase transitions.Math.Comput. Sci. 2001,5, 133–170. 25. Manin, Y.I. A computability challenge: Asymptotic bounds and isolated error-correcting codes. 2011, arXiv:1107.4246. 26. Barg,A.;Forney,G.D.Randomcodes:minimumdistancesanderrorexponents. IEEETrans. Inf. Theory2002, 48, 2568–2573. 27. Coffey, J.T.;Goodman,R.M.Anycodeofwhichwecannot think isgood. IEEETrans. Inf. Theory1990,36, 1453–1461. 28. Manin,Y.I.ComplexityvsEnergy: TheoryofComputationandTheoreticalPhysics. 2014,arXiv:1302.6695. 29. Baker, M.C. The Atoms of Language: The Mind’s Hidden Rules of Grammar; Basic Books: NewYork, NY, USA,2001. 30. Li,M.;Vitányi, P.AnIntroduction toKolmogorovComplexity and ItsApplications; Springer: NewYork,NY, USA,2008. 31. Grünwald,P.;Vitányi,P.ShannonInformationandKolmogorovComplexity. 2004,arXiv:cs/0410002. 32. Manin,Y.I.ACourse inMathematicalLogic forMathematicians, 2nded;Springer:NewYork,NY,USA,2010. 33. Bennett,C.;Gacs,P.; Li,M.;Vitanyi, P.;Zurek,W. Informationdistance. IEEETrans. Inf. Theory1998,44, 1407–1423. 34. Delahaye, J.P.ComplexitéAléatoire etComplexitéOrganisée;ÉditionsQuæ:Paris,France,2009. (InFrench) 35. Gell-Mann,M.;Lloyd,S. Informationmeasures, effectivecomplexity,andtotal information.Complexity1996, 2, 44–52. 36. Marcolli,M.;Perez,C.Codesas fractalsandnoncommutativespaces.Math.Comput. Sci. 2012,6, 199–215. c©2016bytheauthor. LicenseeMDPI,Basel,Switzerland.Thisarticle isanopenaccess articledistributedunder the termsandconditionsof theCreativeCommonsAttribution (CCBY) license (http://creativecommons.org/licenses/by/4.0/). 455