<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1870-3542</journal-id>
<journal-title><![CDATA[Revista mexicana de física E]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fís. E]]></abbrev-journal-title>
<issn>1870-3542</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1870-35422007000200009</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[De la mecánica estadística a la teoría ergódica]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ugalde]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Autónoma de San Luis Potosí Instituto de Física ]]></institution>
<addr-line><![CDATA[San Luis Potosí S.L.P]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2007</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2007</year>
</pub-date>
<volume>53</volume>
<numero>2</numero>
<fpage>191</fpage>
<lpage>194</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1870-35422007000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1870-35422007000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1870-35422007000200009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este artículo revisaremos algunas de las interacciones que desde hace más de un siglo han tenido lugar entre la mecánica estadística y la teoría ergódica. En particular mencionaremos los resultados rigurosos recientemente obtenidos, concernientes a la hipótesis de Boltzmann]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this article we will briefly review some of the interactions occurred during the last hundred years, between Statistical Mechanics and Ergodic Theory. In particular, we will mention the recently proved rigorous results concerning the Boltzmann's hypothesis]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Hipótesis de Boltzmann]]></kwd>
<kwd lng="es"><![CDATA[teoría ergodica]]></kwd>
<kwd lng="es"><![CDATA[gas de esfera dura]]></kwd>
<kwd lng="en"><![CDATA[Boltzmann's hypothesis]]></kwd>
<kwd lng="en"><![CDATA[Ergodic Theory]]></kwd>
<kwd lng="en"><![CDATA[Hard sphere gas]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="justify"><font face="verdana" size="4">Ense&ntilde;anza</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="4"><b>De la mec&aacute;nica estad&iacute;stica a la teor&iacute;a erg&oacute;dica</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="2"><b>E. Ugalde</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><i>Instituto de F&iacute;sica, Universidad Aut&oacute;noma de San Luis Potos&iacute;, &Aacute;lvaro Obreg&oacute;n 64, San Luis Potos&iacute; S.L.P., 78000 M&eacute;xico, </i>e&#150;mail: <a href="mailto:ugalde@ifisica.uaslp.mx">ugalde@ifisica.uaslp.mx</a></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">Recibido el 9 de marzo de 2007    <br> Aceptado el 4 de mayo de 2007</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>     <p align="justify"><font face="verdana" size="2">En este art&iacute;culo revisaremos algunas de las interacciones que desde hace m&aacute;s de un siglo han tenido lugar entre la mec&aacute;nica estad&iacute;stica y la teor&iacute;a erg&oacute;dica. En particular mencionaremos los resultados rigurosos recientemente obtenidos, concernientes a la hip&oacute;tesis de Boltzmann.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Descriptores: </b>Hip&oacute;tesis de Boltzmann; teor&iacute;a ergodica; gas de esfera dura.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>     <p align="justify"><font face="verdana" size="2">In this article we will briefly review some of the interactions occurred during the last hundred years, between Statistical Mechanics and Ergodic Theory. In particular, we will mention the recently proved rigorous results concerning the Boltzmann's hypothesis.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Keywords: </b>Boltzmann's hypothesis; Ergodic Theory; Hard sphere gas. </font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">PACS: 05.20.&#150;y, 51.10.+y, 05.45.&#150;a</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmfe/v53n2/v53n2a9.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Agradecimientos</b></font></p>     <p align="justify"><font face="verdana" size="2">La idea de este trabajo surgi&oacute; a partir de seminario improvisado que impart&iacute; durante el pasado Congreso Nacional de F&iacute;sica. Agradezco las sugerencias de mis colegas presentes el aquella sesi&oacute;n.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Referencias</b></font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">1. G. Birkhoff, <i>Proceedings of the National Academy of Sciences </i><b>17</b> (1931) 650.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448265&pid=S1870-3542200700020000900001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">2. L. Boltzmann, <i>Wiener Berichte </i><b>58</b> (1868) 517.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448266&pid=S1870-3542200700020000900002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">3. E. Borel, "Sur les principes de la th&eacute;orie cin&eacute;tique des gaz",<i> Annales Scientifiques de l'&Eacute;cole Normale Superieur" 3&egrave;me serie, tome 23 </i>(1906) p. 9.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448267&pid=S1870-3542200700020000900003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">4. R.  Bowen, "Equilibrium  states and the ergodic theory  of Anosov diffeomorphisms", <i>Lecture Notes in Mathematics </i>470 (Springer&#150;Velag, 1975).</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448268&pid=S1870-3542200700020000900004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">5. S.G. Brush, "Proof of the impossibility of ergodic systems: the 1913 papers of Rosenthal and Plancherel", en <i>The Kinetic Theory of Gases: An Anthology of Classical Papers with Historical Commentary </i>(Imperial College Press, 2003) p. 505.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448269&pid=S1870-3542200700020000900005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">6. G. Choquet, "Existence et unicit&eacute; des repr&eacute;sentations int&eacute;grales", <i>Seminaire Bourbaki, </i>D&eacute;cembre 1956, 139.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448270&pid=S1870-3542200700020000900006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">7. R.L. Dobrushin,<i> Funktsional'nyi Analiz i Ego Prilozheniya </i><b>2</b> (4) (1968) 31.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448271&pid=S1870-3542200700020000900007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --> Versi&oacute;n en Ingl&eacute;s en <i>Functonal Analysis and Applications </i><b>2</b> (1968) 302.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448272&pid=S1870-3542200700020000900008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><p align="justify"><font face="verdana" size="2">8. P. Ehrenfest y T. Ehrenfest, "Begriffliche Grundlagen der statistischen Auffassung in der Mechanik", en: <i>Encyklop&auml;die der Mathematischen Wissenschaften mit Einschlu&beta; ihrer Anwendungen <b>Band IV</b>, </i>F. Klein and C. M&uuml;ller Eds. (Leipzig 1911). Versi&oacute;n en Ingl&eacute;s: "The conceptual Foundations of the Statistical Approach in Mechanics" (Dover Phoenix Editions, 2002).</font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">9. A. Katok y B. Hassenblatt, "Introduction to the Modern Theory of Dynamical Systems" (Cambridge University Press, 1995).</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448274&pid=S1870-3542200700020000900010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">10. C. Liverani y M.P Wojtkowski, "Ergodicity in Hamiltonian systems", <i>Dynamics Reported: Expositions in Dynamical Systems N.S. 4 </i>(Springer, 1995) p. 130.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448275&pid=S1870-3542200700020000900011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">11. L. Markus y K.R. Meyer, "Generic Hamiltonian Dynamical Systems are neither Integrable nor Ergodic", <i>Memoirs of the American Mathematical Society </i><b>144</b> (American Mathematical Society, 1974).</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448276&pid=S1870-3542200700020000900012&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">12. D. Ruelle, <i>Communications in Mathematical Physics </i><b>9</b> (1968) 267.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448277&pid=S1870-3542200700020000900013&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">13. D. Ruelle, <i>American Journal of Mathematics </i><b>98</b> (1976) 619.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448278&pid=S1870-3542200700020000900014&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">14. Ya. G. Sinai, <i>Doklady Akademii Nauk SSSR </i><b>153</b> (6) (1963) 1261;    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448279&pid=S1870-3542200700020000900015&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --> Versi&oacute;n en Ingl&eacute;s en <i>Soviet Mathematics. Doklady </i><b>4</b> (1963) 1818.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448280&pid=S1870-3542200700020000900016&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">15. Ya. G. Sinai, <i>Uspehi Matematiceskih Nauk </i><b>25</b> (2) (1970) 141.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448281&pid=S1870-3542200700020000900017&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">16. Ya. G. Sinai, <i>Uspehi Matematiceskih Nauk </i><b>27</b> (4) (1972) 21;    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448282&pid=S1870-3542200700020000900018&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --> Versi&oacute;n en Ingl&eacute;s en <i>Russian Mathematical Surveys </i><b>27</b> (4) (1972) 21.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448283&pid=S1870-3542200700020000900019&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">17. N. Simanyi y D. Szasz, <i>Annals of Mathematics </i><b>149</b> (1) (1999) 35.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448284&pid=S1870-3542200700020000900020&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">18. N. Simanyi,<i> Inventiones Mathematicae, </i><b>154</b> (1) (2003) 123.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448285&pid=S1870-3542200700020000900021&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">19. M. <i>Talagrand, Annals of Mathematics </i><b>163</b> (1) (2006) 221.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448286&pid=S1870-3542200700020000900022&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">20. J. von Neumann, <i>Proceedings of the National Academy of Sciences </i><b>18</b> (1932) 70.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8448287&pid=S1870-3542200700020000900023&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --> ]]></body><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Birkhoff]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
</person-group>
<source><![CDATA[Proceedings of the National Academy of Sciences]]></source>
<year>1931</year>
<volume>17</volume>
<page-range>650</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Boltzmann]]></surname>
<given-names><![CDATA[L]]></given-names>
</name>
</person-group>
<source><![CDATA[Wiener Berichte]]></source>
<year>1868</year>
<volume>58</volume>
<page-range>517</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Borel]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
</person-group>
<source><![CDATA[Sur les principes de la théorie cinétique des gaz]]></source>
<year>1906</year>
<edition>3</edition>
<page-range>9</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bowen]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<source><![CDATA[Equilibrium states and the ergodic theory of Anosov diffeomorphisms]]></source>
<year>1975</year>
<volume>470</volume>
<publisher-name><![CDATA[Springer-Velag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brush]]></surname>
<given-names><![CDATA[S.G]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Proof of the impossibility of ergodic systems: the 1913 papers of Rosenthal and Plancherel]]></article-title>
<source><![CDATA[The Kinetic Theory of Gases: An Anthology of Classical Papers with Historical Commentary]]></source>
<year>2003</year>
<page-range>505</page-range><publisher-name><![CDATA[Imperial College Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Choquet]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
</person-group>
<source><![CDATA[Existence et unicité des représentations intégrales]]></source>
<year>1956</year>
<page-range>139</page-range><publisher-name><![CDATA[Seminaire Bourbaki]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dobrushin]]></surname>
<given-names><![CDATA[R.L]]></given-names>
</name>
</person-group>
<source><![CDATA[Funktsional'nyi Analiz i Ego Prilozheniya]]></source>
<year>1968</year>
<volume>2</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>31</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<source><![CDATA[Functonal Analysis and Applications]]></source>
<year>1968</year>
<numero>2</numero>
<issue>2</issue>
<page-range>302</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>8</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ehrenfest]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[Ehrenfest]]></surname>
<given-names><![CDATA[T]]></given-names>
</name>
</person-group>
<article-title xml:lang="de"><![CDATA[Begriffliche Grundlagen der statistischen Auffassung in der Mechanik]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Klein]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
<name>
<surname><![CDATA[Müller]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
</person-group>
<source><![CDATA[Encyklopädie der Mathematischen Wissenschaften mit Einschlu&#946; ihrer Anwendungen Band IV]]></source>
<year>1911</year>
<publisher-loc><![CDATA[Leipzig ]]></publisher-loc>
<publisher-name><![CDATA[Dover Phoenix Editions]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<label>9</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Katok]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Hassenblatt]]></surname>
<given-names><![CDATA[B]]></given-names>
</name>
</person-group>
<source><![CDATA[Introduction to the Modern Theory of Dynamical Systems]]></source>
<year>1995</year>
<publisher-name><![CDATA[Cambridge University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<label>10</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Liverani]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
<name>
<surname><![CDATA[Wojtkowski]]></surname>
<given-names><![CDATA[M.P]]></given-names>
</name>
</person-group>
<source><![CDATA[Ergodicity in Hamiltonian systems: Dynamics Reported: Expositions in Dynamical Systems]]></source>
<year>1995</year>
<volume>4</volume>
<page-range>130</page-range><publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<label>11</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Markus]]></surname>
<given-names><![CDATA[L]]></given-names>
</name>
<name>
<surname><![CDATA[Meyer]]></surname>
<given-names><![CDATA[K.R]]></given-names>
</name>
</person-group>
<source><![CDATA[Generic Hamiltonian Dynamical Systems are neither Integrable nor Ergodic]]></source>
<year>1974</year>
<volume>144</volume>
<publisher-name><![CDATA[American Mathematical Society]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<label>12</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruelle]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Communications in Mathematical Physics]]></source>
<year>1968</year>
<numero>9</numero>
<issue>9</issue>
<page-range>267</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>13</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruelle]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[American Journal of Mathematics]]></source>
<year>1976</year>
<numero>98</numero>
<issue>98</issue>
<page-range>619</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>14</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sinai]]></surname>
<given-names><![CDATA[Ya. G]]></given-names>
</name>
</person-group>
<source><![CDATA[Doklady Akademii Nauk]]></source>
<year>1963</year>
<volume>SSSR 153</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>1261</page-range></nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="journal">
<article-title xml:lang="en"><![CDATA[Soviet Mathematics]]></article-title>
<source><![CDATA[Doklady]]></source>
<year>1963</year>
<numero>4</numero>
<issue>4</issue>
<page-range>1818</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>15</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sinai]]></surname>
<given-names><![CDATA[Ya. G]]></given-names>
</name>
</person-group>
<source><![CDATA[Uspehi Matematiceskih Nauk]]></source>
<year>1970</year>
<volume>25</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>141</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>16</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sinai]]></surname>
<given-names><![CDATA[Ya. G]]></given-names>
</name>
</person-group>
<source><![CDATA[Uspehi Matematiceskih Nauk]]></source>
<year>1972</year>
<volume>27</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>21</page-range></nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="journal">
<source><![CDATA[Russian Mathematical Surveys]]></source>
<year>1972</year>
<volume>27</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>21</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>17</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Simanyi]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
<name>
<surname><![CDATA[Szasz]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Annals of Mathematics]]></source>
<year>1999</year>
<volume>149</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>35</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Simanyi]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
</person-group>
<source><![CDATA[Inventiones Mathematicae]]></source>
<year>2003</year>
<volume>154</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>123</page-range></nlm-citation>
</ref>
<ref id="B22">
<label>19</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Talagrand]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<source><![CDATA[Annals of Mathematics]]></source>
<year>2006</year>
<volume>163</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>221</page-range></nlm-citation>
</ref>
<ref id="B23">
<label>20</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[von Neumann]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Proceedings of the National Academy of Sciences]]></source>
<year>1932</year>
<volume>18</volume>
<page-range>70</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
