<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Duminil-Copin, Hugo</dc:creator>
  <dc:creator>Li, Jhih-Huang</dc:creator>
  <dc:creator>Manolescu, Ioan</dc:creator>
  <dc:date>2018</dc:date>
  <dc:description xmlns:ns0="xml" ns0:lang="en">We show that the canonical random-cluster measure associated to isoradial graphs is  critical for all q≥1. Additionally, we prove that the phase transition of the model is of  the same type on all isoradial graphs: continuous for 1≤q≤4 and discontinuous for  q&gt;4. For 1≤q≤4, the arm exponents (assuming their existence) are shown to be the  same for all isoradial graphs. In particular, these properties also hold on the triangular  and hexagonal lattices. Our results also include the limiting case of quantum random- cluster models in 1+1 dimensions.</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>https://folia.unifr.ch/global/documents/307260</dc:identifier>
  <dc:identifier>https://folia.unifr.ch/documents/307260/files/man_urc.pdf</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/semantics/altIdentifier/doi/10.1214/18-EJP223</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>License undefined</dc:rights>
  <dc:source>Electronic Journal of Probability. - 2018, vol. 23, p. 1-70</dc:source>
  <dc:subject>info:eu-repo/classification/udc/51</dc:subject>
  <dc:title xmlns:ns1="xml" ns1:lang="en">Universality for the random-cluster model on isoradial graphs</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_6501</dc:type>
</oai_dc:dc>