<?xml version="1.0" encoding="UTF-8"?><metadata>
<lom xmlns="http://ltsc.ieee.org/xsd/LOM" xmlns:lomfr="http://www.lom-fr.fr/xsd/LOMFR" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://ltsc.ieee.org/xsd/LOM http://www.lom-fr.fr/xsd/lomfrv1.0/std/lomfr.xsd">
<general>
    <identifier>
        <catalog>Canal-U_Ocms</catalog>
        <entry>22859</entry>
    </identifier>
    <title><string language="fre"><![CDATA[Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 2)]]></string></title>
    <language>ENG</language>
    <description>
        <string language="fre"><![CDATA[In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural extensions, we apply these to the familiar expansions mentioned above in order to understand the structure and global behaviour of different number theoretic expansions, and to obtain new and old results in an elegant and straightforward manner.]]></string></description>
    <keyword><string language="fre"><![CDATA[mathématiques]]></string></keyword><keyword><string language="fre"><![CDATA[Grenoble]]></string></keyword><keyword><string language="fre"><![CDATA[école d'été]]></string></keyword><keyword><string language="fre"><![CDATA[dynamics]]></string></keyword><keyword><string language="fre"><![CDATA[institut fourier]]></string></keyword><keyword><string language="fre"><![CDATA[summer school]]></string></keyword><keyword><string language="fre"><![CDATA[number theory]]></string></keyword>
    <lomfr:documentType>
        <lomfr:source>LOMFRv1.0</lomfr:source>
        <lomfr:value>image en mouvement</lomfr:value>
    </lomfr:documentType>
</general><lifeCycle>
    
    <contribute>
            <role>
                <source>LOMv1.0</source>
                <value>author</value>
            </role>
            <entity><![CDATA[BEGIN:VCARD
VERSION:3.0
CLASS:PUBLIC
REV:2016-06-26 00:00:57
FN:Karma Dajani
N:Dajani;Karma;;;

URL;TYPE=work:http://www.staff.science.uu.nl/~kraai101/
ROLE:author
TZ:+0200
END:VCARD
]]></entity>
            <date><dateTime>2013-06-19</dateTime></date>
        </contribute>

    <contribute>
            <role>
                <source>LOMv1.0</source>
                <value>content provider</value>
            </role>
            <entity><![CDATA[BEGIN:VCARD
VERSION:3.0
CLASS:PUBLIC
REV:2016-06-26 00:00:57
FN:Fanny Bastien
N:Bastien;Fanny;;;

URL;TYPE=work:http://www.canal-u.tv/auteurs/bastien_fanny
ROLE:content provider
TZ:+0200
END:VCARD
]]></entity>
            <date><dateTime>2013-06-19</dateTime></date>
        </contribute>

</lifeCycle>
<metaMetadata>
    <metadataSchema>LOMv1.0</metadataSchema>
    <metadataSchema>LOMFRv1.0</metadataSchema>
</metaMetadata>
<technical>
    <format>video/x-flv</format>
    <location><![CDATA[http://www.canal-u.tv/video/institut_fourier/karma_dajani_an_introduction_to_ergodic_theory_of_numbers_part_2.22859]]></location>
    <location><![CDATA[rtmpt://fms2.cerimes.fr:80/vod/institut_fourier/karma.dajani.an.introduction.to.ergodic.theory.of.numbers.part.2._22859/dajani_ecoleete_19062013_sd.mp4]]></location>
        
        
    <size>2673900635</size>
    <duration><duration>PT1H8M41S</duration></duration>
</technical>
<educational>
    <learningResourceType>
        <source>LOMv1.0</source>
        <value>lecture</value>
    </learningResourceType>
    
    <context>
        <source>LOMv1.0</source>
        <value>doctorat</value>
    </context>
</educational>
<rights>
    <cost>
        <source>LOMv1.0</source>
        <value>no</value>
    </cost>
    <copyrightAndOtherRestrictions>
        <source>LOMv1.0</source>
        <value>no</value>
    </copyrightAndOtherRestrictions>
    <description>
        <string language="fre"><![CDATA[Droits réservés à l'éditeur et aux auteurs. 
CC BY-NC-ND 4.0]]></string>
    </description>
</rights>

            <relation>
                <kind>
                    <source>LOMv1.0</source>
                    <value>ispartof</value>
                </kind>
                <resource>
                    <identifier>
                        <catalog>URI</catalog>
                        <entry>http://www.canal-u.tv/producteurs/institut_fourier/ecoles_d_ete</entry>
                    </identifier>
                    <description>
                        <string language="fre"><![CDATA[Ecoles d'été]]></string>
                    </description>
                </resource>
            </relation>

            <relation>
                <kind>
                    <source>LOMv1.0</source>
                    <value>ispartof</value>
                </kind>
                <resource>
                    <identifier>
                        <catalog>URI</catalog>
                        <entry>http://www.canal-u.tv/producteurs/institut_fourier/ecoles_d_ete</entry>
                    </identifier>
                    <description>
                        <string language="fre"><![CDATA[2013]]></string>
                    </description>
                </resource>
            </relation>

<classification>
    <purpose>
        <source>LOMv1.0</source>
        <value>discipline</value>
    </purpose>
    <taxonPath>
        <source>
        <string language="fre"><![CDATA[Universités Numériques Thématiques 2009 http://www.universites-numeriques.fr]]></string>
        </source>
        <taxon>
            <id/>
            <entry>
                <string language="fre"/>
            </entry>
        </taxon>
    </taxonPath>
</classification>
<classification>
    <purpose>
        <source>LOMv1.0</source>
        <value>discipline</value>
    </purpose>
    
    <taxonPath>
        <source>
            <string language="fre">CDD 22e éd.</string>
            <string language="eng">DDC 22nd ed.</string>
        </source>
        <taxon>
            <id>510</id>
            <entry>
                <string language="fre"><![CDATA[Mathématiques]]></string>
            </entry>
        </taxon>
   </taxonPath>
</classification>      </lom>
   </metadata>