<?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>0034-7426</journal-id>
<journal-title><![CDATA[Revista Colombiana de Matemáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.colomb.mat.]]></abbrev-journal-title>
<issn>0034-7426</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0034-74262019000300113</article-id>
<article-id pub-id-type="doi">10.15446/recolma.v53nsupl.84010</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Renormalisation via locality morphisms]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Clavier]]></surname>
<given-names><![CDATA[Pierre]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Guo]]></surname>
<given-names><![CDATA[Li]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Paycha]]></surname>
<given-names><![CDATA[Sylvie]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[Bin]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of Potsdam  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Germany</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Rutgers University  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>USA</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Sichuan University  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>China</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<volume>53</volume>
<fpage>113</fpage>
<lpage>141</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262019000300113&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262019000300113&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262019000300113&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: This is a survey on renormalisation in algebraic locality setup highlighting the role that locality morphisms can play for renormalisation purposes. After describing the general framework to build locality regularisation maps, we illustrate renormalisation by locality algebra homomorphisms on three examples, the renormalisation of conical zeta functions at poles, the definition of branched zeta functions and their evaluation at poles and finally the values of iterated integrals stemming from Kreimer's toy model.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Éste es un estudio sobre la renormalización en la configuración de la localidad algebraica, que resalta el papel que los morfismos de la localidad pueden desempeñar para los propósitos de la renormalización. Después de describir el marco general para construir mapas de regularización de la localidad, ilustramos la renormalización mediante homomorfismos de álgebras de la localidad en tres ejemplos, la renormalización de las funciones zeta cónica en los polos, la definición de las funciones zeta ramificadas y su evaluación en los polos y, finalmente, los valores de las integrales iteradas derivadas del modelo de juguete de Kreimer.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[locality]]></kwd>
<kwd lng="en"><![CDATA[renormalisation]]></kwd>
<kwd lng="en"><![CDATA[partial algebra]]></kwd>
<kwd lng="en"><![CDATA[operated algebra]]></kwd>
<kwd lng="en"><![CDATA[Hopf algebra]]></kwd>
<kwd lng="en"><![CDATA[Rota-Baxter algebra]]></kwd>
<kwd lng="en"><![CDATA[symbols]]></kwd>
<kwd lng="es"><![CDATA[localidad]]></kwd>
<kwd lng="es"><![CDATA[renormalización]]></kwd>
<kwd lng="es"><![CDATA[álgebra parcial]]></kwd>
<kwd lng="es"><![CDATA[álgebra operada]]></kwd>
<kwd lng="es"><![CDATA[álgebra de Hopf]]></kwd>
<kwd lng="es"><![CDATA[álgebra de Rota-Baxter]]></kwd>
<kwd lng="es"><![CDATA[símbolos]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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