{"id":52,"date":"2016-04-26T01:25:37","date_gmt":"2016-04-26T01:25:37","guid":{"rendered":"https:\/\/live-optics-wp.pantheonsite.io\/rfrieden\/?page_id=52"},"modified":"2016-04-26T06:33:37","modified_gmt":"2016-04-26T06:33:37","slug":"section-9","status":"publish","type":"page","link":"https:\/\/wp.optics.arizona.edu\/rfrieden\/fisher-information\/section-9\/","title":{"rendered":"Section 9"},"content":{"rendered":"<h3>References and Recent Papers<\/h3>\n<p>&nbsp;<\/p>\n<h4><strong>References<\/strong><\/h4>\n<p>[1a] B.R. Frieden, &#8220;Physics from Fisher Information: a Unification&#8221; (Cambridge Univ. Press, 1998);<br \/>\n[1b] 2nd ed. &#8220;Science from Fisher Information&#8221; (Cambridge Univ. Press, 2004).<br \/>\n[1c] B.R. Frieden and R.A. Gatenby, eds. &#8220;Exploratory Data Analysis using Fisher Information&#8221; (Springer-Verlag, 2007)<br \/>\n[2] H.L. Van Trees, &#8220;Detection, Estimation and Modulation Theory, Part I&#8221; (Wiley, N.Y., 1968)<br \/>\n[3] B.R. Frieden, &#8220;<a href=\"http:\/\/prola.aps.org\/pdf\/PRA\/v41\/i8\/p4265_1\">Fisher information, disorder, and the equilibrium distributions of physics<\/a>,&#8221; Phys. Rev. A 41, 4265-4276 (1990)<br \/>\n[4] A.R. and A. Plastino, Phys. Rev. E 54, p. 4423 (1996)<br \/>\n[5] I. Kant, &#8220;Critique of Pure Reason&#8221;, English translation (Willey Book Co., N.Y., 1900) of original German version of 1787.<br \/>\n[6] E. Wigner, &#8220;The unreasonable effectiveness of mathematics in the natural sciences,&#8221; Comm. in Pure and Appl. Math 13 (Wiley, N.Y., 1960)<br \/>\n[7] B.R. Frieden and B.H. Soffer, &#8220;<a href=\"http:\/\/prola.aps.org\/pdf\/PRE\/v52\/i3\/p2274_1\">Lagrangians of physics and the game of Fisher-information transfer<\/a>,&#8221; Phys. Rev. E 52, 2274-2286 (1995)<br \/>\n[8] J.A. Wheeler, in &#8220;Proc. of 3rd Intl. Symp. on Founds. of Quantum Mechanics,&#8221; eds. S. Kobayashi et al., p. 354 (Physical Society of Japan, Tokyo, 1990); in &#8220;Physical Origins of Time Asymmetry,&#8221; eds. J.J. Halliwell et al., pp. 1-29 (Cambridge Univ. Press, 1994)<br \/>\n[9] D. Bohm and B.J. Hiley, &#8220;The Undivided Universe&#8221; (Routledge, London, 1993)<br \/>\n[10] B.R. Frieden, &#8220;Probability, Statistical Optics and Data Testing, 3rd ed.&#8221; (Springer-Verlag, New York, 2001)<br \/>\n[11] H. Cabezas, IESP Seminar &#8220;Environmental Systems Management and Sustainability Theory&#8221; (2003); also B. Fath, H. Cabezas and C. Pawlowski, &#8220;Regime changes in ecological systems: an information theory approach&#8221;, J. Theor. Biol. 222, 517 (2003)<br \/>\n[12] S.W. Hawking, &#8220;A Brief History of Time&#8221; (Bantam, Toronto, 1988)<br \/>\n[13] S. Thomas, Phys. Rev. Lett. 89, 081301 (2002)<br \/>\n[14] M. Tegmark, &#8220;On the dimensionality of spacetime,&#8221; Class. Quantum Grav. 14, L69 (1997)<br \/>\n[15] W. Yourgrau and S. Mandelstam, &#8220;Variational principles in dynamics and quantum theory&#8221;, pgs. 163-167, 177 (Dover, N.Y., 1979)<br \/>\n[16] J.R. Ray, &#8220;Lagrangians and systems they describe &#8212; how not to treat dissipation in quantum mechanics,&#8221; Am. J. Phys. 47, 626 (1979)<br \/>\n[17] H. Goldstein, &#8220;Classical Mechanics,&#8221; Sec. 7-5, p. 228 (Addison-Wesley, Cambridge, Mass., 1950)<\/p>\n<h4>Recent Papers<\/h4>\n<ul>\n<li>B.R. Frieden and R.A. Gatenby, \u201cPrinciple of maximum Fisher information from Hardy\u2019s axioms applied to statistical systems,\u201d Phys. Rev. E 88, 042144, 1-6 (2013)<\/li>\n<li>B.R. Frieden, M. Petri, \u201cMotion-dependent levels of order in a relativistic universe,\u201d Phys. Rev E 86, 032102, 1-5 (2012)<\/li>\n<li>B.R. Frieden, A. Plastino and A.R. Plastino, &#8220;Effect upon universal Order of Hubble expansion,&#8221; Physica A doi: 10.1016\/j.physa.2011.08.005 (2011); Physica A 391 410-413 (2012)<\/li>\n<li>B.R. Frieden and R.A. Gatenby, \u201cInformation Dynamics in Living Systems: Prokaryotes, Eukaryotes, and Cancer,\u201d PLoS ONE 6(7): e22085. doi:10.1371\/journal.pone.0022085 (2011)<\/li>\n<li>B.R. Frieden and R.A. Gatenby, \u201cOrder in a Multiply-Dimensioned System,\u201d Phys. Rev. E 84, 011128, 1-9 (2011)<\/li>\n<li>B.R. Frieden and R.J.Hawkins, &#8220;Quantifying system Order for full and partial coarse graining,&#8221; Phys. Rev. E 82, 066117, 1-8 (2010)<\/li>\n<li>\u2022 R.J.Hawkins, M. Aoki and B.R. Frieden, &#8220;Asymmetric information and macroeconomic dynamics,&#8221; Physica A 389, 33565-3571 (2010)<\/li>\n<li>R.A. Gatenby and B.R. Frieden, \u201cCoulomb Interactions between Cytoplasmic Electric Fields and Phosphorylated Messenger Proteins Optimize Information Flow in Cells,\u201d PLoS ONE 5(8): e12084. doi:10.1371\/journal.pone (2010)<\/li>\n<li>B.R. Frieden and B.H. Soffer, &#8220;De Broglie&#8217;s wave hypothesis from Fisher information,&#8221; Physica A 388, 1315-1330 (2009)<\/li>\n<li>B.R. Frieden and R.A. Gatenby, &#8220;Conditions for correspondence between Hartree scattering and biological growth,&#8221; Phys. Rev. E 78, 041902 (2008)<\/li>\n<li>R.A. Gatenby and B.R. Frieden, &#8220;Inducing catastrophe in malignant growth,&#8221; J. Math. Med. Biol. 25, 267-283 (2008)<\/li>\n<li>B.R. Frieden and B.H. Soffer, &#8220;<a href=\"http:\/\/scitation.aip.org\/getpdf\/servlet\/GetPDFServlet?filetype=pdf&amp;id=PLRAAN000074000005052108000001&amp;idtype=cvips&amp;prog=normal\">Information-theoretic significance of the Wigner distribution<\/a>,&#8221; Phys. Rev. A 74, 052108, 1-8 (2006)<\/li>\n<li>B.R. Frieden and R.A. Gatenby, &#8220;<a href=\"http:\/\/scitation.aip.org\/getpdf\/servlet\/GetPDFServlet?filetype=pdf&amp;id=PLRAAN000074000005052108000001&amp;idtype=cvips&amp;prog=normal\">Power laws of complex systems from extreme physical information,<\/a>&#8221; Phys. Rev. E 72, 036101, 1-10 (2005)<\/li>\n<li>R.J. Hawkins, B.R. Frieden and J. L. D&#8217;Anna, &#8220;<a href=\"http:\/\/www.sciencedirect.com\/science?_ob=MImg&amp;_imagekey=B6TVM-4GHSDTV-9-1Y&amp;_cdi=5538&amp;_user=56761&amp;_orig=browse&amp;_coverDate=09%2F12%2F2005&amp;_sk=996559994&amp;view=c&amp;wchp=dGLbVzW-zSkzV&amp;md5=319e10d3024abd4818e837dfc2165c63&amp;ie=\/sdarticle.pdf\"><em>Ab initio yield curve dynamics<\/em><\/a>,&#8221; Phys. Lett A 344, 317-323 (2005)<\/li>\n<li>R.A. Gatenby and B.R. Frieden, &#8220;The role of non-genomic information in maintaining thermodynamic stability in living systems&#8221;, Math. Biosci. &amp; Eng. 2, 43-51 (2005)<\/li>\n<li>M. Yolles and B.R. Frieden, J. Organizational Transf. &amp; Social Change 2, &#8220;A metahistorical information theory of social change: the theory,&#8221; 29-62; &#8220;an application,&#8221; 63-77 (2005)<\/li>\n<li>R.A. Gatenby and B.R. Frieden, &#8220;<a href=\"http:\/\/www.sciencedirect.com\/science?_ob=MImg&amp;_imagekey=B6T2C-4DKH2VX-1-3&amp;_cdi=4915&amp;_user=56761&amp;_orig=search&amp;_coverDate=12%2F21%2F2004&amp;_sk=994319997&amp;view=c&amp;wchp=dGLbVtz-zSkWb&amp;md5=4f12a8c226f80e3d79f7a613ceeca344&amp;ie=\/sdarticle.pdf\">Information dynamics in carcinogenesis and tumor growth<\/a>&#8220;, Mutat. Res. 568, 259-273 (2004)<\/li>\n<li>R..J. Hawkins and B.R. Frieden, \u201c<a href=\"http:\/\/www.sciencedirect.com\/science?_ob=MImg&amp;_imagekey=B6TVM-4BFXGV4-2-1F&amp;_cdi=5538&amp;_user=56761&amp;_orig=search&amp;_coverDate=02%2F23%2F2004&amp;_sk=996779998&amp;view=c&amp;wchp=dGLbVtb-zSkWb&amp;md5=922047038315b0e21c34d84fb15a6100&amp;ie=\/sdarticle.pdf\">Fisher information and equilibrium distributions in econophysics,<\/a>\u201d Phys. Lett. A 322, 126 (2004)<\/li>\n<li>S.P. Flego, B.R. Frieden, A. and A.R. Plastino, B.H. Soffer, \u201c<a href=\"http:\/\/prola.aps.org\/pdf\/PRE\/v68\/i1\/e016105\">Nonequilibrium thermodynamics and Fisher information: Sound wave propagation in a dilute gas<\/a>,\u201d Phys. Rev. E 68, 016105 (2003)<\/li>\n<li>B.R. Frieden, \u201cProbability and Statistics,\u201d in Optical Engineer\u2019s Desk Reference, ed. W.L. Wolfe (Optical Society of America, Washington, D.C., 2003)<\/li>\n<li>B.R. Frieden, A. Plastino and B.H. Soffer, &#8220;A Schroedinger Link Between Non-equilibrium Thermodynamics and Fisher information&#8221;, Phys. Rev. E 66, 046128 (2002).<\/li>\n<li>http:\/\/prola.aps.org\/pdf\/PRE\/v66\/i4\/e046128<\/li>\n<li>B.R. Frieden and B.H. Soffer, &#8220;<a href=\"http:\/\/www.sciencedirect.com\/science?_ob=MImg&amp;_imagekey=B6TVM-47010XT-B-3D&amp;_cdi=5538&amp;_user=56761&amp;_orig=search&amp;_coverDate=11%2F04%2F2002&amp;_sk=996959998&amp;view=c&amp;wchp=dGLzVlz-zSkzk&amp;md5=73b06d3ff51cd4b4e6b5fd5d1b87786b&amp;ie=\/sdarticle.pdf\">Black Holes and Optimum Coding<\/a>&#8220;, Phys. Lett. A 304, 4 Nov., 1 (2002).<\/li>\n<li>B.R. Frieden, &#8220;<a href=\"http:\/\/prola.aps.org\/pdf\/PRA\/v66\/i2\/e022107\">Relations Between Parameters of a Decoherent System and Fisher Information<\/a>&#8220;, Phys. Rev. A 66, 022107 (2002).<\/li>\n<li>R.A. Gatenby and B.R. Frieden, &#8220;<a href=\"http:\/\/cancerres.aacrjournals.org\/cgi\/reprint\/62\/13\/3675?maxtoshow=&amp;HITS=10&amp;hits=10&amp;RESULTFORMAT=&amp;author1=Gatenby%2C+R&amp;author2=Frieden%2CB&amp;searchid=1&amp;FIRSTINDEX=0&amp;volume=62&amp;resourcetype=HWCIT\">Application of Information Theory and Extreme Physical Information to Carcinogenesis,<\/a>&#8221; Cancer Research 62, 4675 (2002).<\/li>\n<li>B.R. Frieden, A. Plastino and B.H. Soffer, &#8220;<a href=\"http:\/\/www.sciencedirect.com\/science?_ob=MImg&amp;_imagekey=B6WMD-457VF22-89-1&amp;_cdi=6932&amp;_user=56761&amp;_orig=browse&amp;_coverDate=01%2F07%2F2001&amp;_sk=997919998&amp;view=c&amp;wchp=dGLbVtb-zSkzS&amp;md5=071d00a5aba89244d46942f706bbbf30&amp;ie=\/sdarticle.pdf\">Population Genetics from an Information Perspective,<\/a>&#8221; J. Theor. Biol. 208, 49 (2001)<\/li>\n<li>B.R. Frieden and A. Plastino, &#8220;Higgs Mass Generation from the Standpoint of Information,&#8221; Phys. Lett. A 278, 299 (2001).<\/li>\n<li>B.R. Frieden and A. Plastino, &#8220;Alternative Classical Trajectories Compatible with Quantum Mechanics,&#8221; Phys. Lett. A 287, 325 (2001).<\/li>\n<li>B.R. Frieden and A. Plastino, &#8220;Composite Fermion Particles and Fisher Information,&#8221; Phys. Lett. A 272,326 (2000).<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>References and Recent Papers &nbsp; References [1a] B.R. Frieden, &#8220;Physics from Fisher Information: a Unification&#8221; (Cambridge Univ. Press, 1998); [1b] 2nd ed. &#8220;Science from Fisher Information&#8221; (Cambridge Univ. Press, 2004). [1c] B.R. Frieden and R.A. Gatenby, eds. &#8220;Exploratory Data Analysis using Fisher Information&#8221; (Springer-Verlag, 2007) [2] H.L. Van Trees, &#8220;Detection, Estimation and Modulation Theory, Part I&#8221; (Wiley, N.Y., 1968) [3]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":19,"menu_order":8,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-52","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages\/52","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/comments?post=52"}],"version-history":[{"count":2,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages\/52\/revisions"}],"predecessor-version":[{"id":54,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages\/52\/revisions\/54"}],"up":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages\/19"}],"wp:attachment":[{"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/media?parent=52"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}