{"id":145234,"date":"2003-01-01T00:00:00","date_gmt":"2003-01-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/uniform-infinite-planar-triangulations\/"},"modified":"2018-10-16T19:56:58","modified_gmt":"2018-10-17T02:56:58","slug":"uniform-infinite-planar-triangulations","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/uniform-infinite-planar-triangulations\/","title":{"rendered":"Uniform infinite planar triangulations"},"content":{"rendered":"<div class=\"asset-content\">\n<p>The existence of the weak limit as n &#8594 &#8734 of the uniform measure on rooted triangulations of the sphere with n vertices is proved. Some properties of the limit are studied. In particular, the limit is a probability measure on random triangulations of the plane. See link below.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The existence of the weak limit as n &#8594 &#8734 of the uniform measure on rooted triangulations of the sphere with n vertices is proved. Some properties of the limit are studied. In particular, the limit is a probability measure on random triangulations of the plane. See link below.<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"Comm. Math. Phys.","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"Comm. Math. 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