{"id":1453,"date":"2025-05-28T21:30:59","date_gmt":"2025-05-28T19:30:59","guid":{"rendered":"https:\/\/kleineberg.co.uk\/CTS-2025\/?post_type=mp-event&#038;p=1453"},"modified":"2025-06-05T14:42:54","modified_gmt":"2025-06-05T12:42:54","slug":"oleg-ivrii","status":"publish","type":"mp-event","link":"https:\/\/kleineberg.co.uk\/CTS-2025\/timetable\/event\/oleg-ivrii\/","title":{"rendered":"Oleg Ivrii"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Translation-invariant measures and shapes of random trees<\/h2>\n\n\n\n<p>In 1997, Benjamin Weiss constructed a non-trivial translation-invariant probably measure on entire functions. In this talk, we give several constructions of Aut(D)-invariant probability measures on holomorphic self-maps of the unit disk by looking at conformally-natural shapes of deterministic and random hyperbolic trees. We discuss the geometry of the complementary regions and the mixing properties of these measures. <\/p>\n\n\n\n<p>This is joint work with U. Kreitner.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Translation-invariant measures and shapes of random trees In 1997, Benjamin Weiss constructed a non-trivial translation-invariant probably measure on entire functions. In this talk, we give several constructions of Aut(D)-invariant probability measures on holomorphic self-maps of the unit disk by looking at conformally-natural shapes of deterministic and random hyperbolic trees. We discuss the geometry of the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","mp-event_category":[15],"mp-event_tag":[],"class_list":["post-1453","mp-event","type-mp-event","status-publish","hentry","mp-event_category-speaker","entry","mp-event-item"],"_links":{"self":[{"href":"https:\/\/kleineberg.co.uk\/CTS-2025\/wp-json\/wp\/v2\/mp-event\/1453","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kleineberg.co.uk\/CTS-2025\/wp-json\/wp\/v2\/mp-event"}],"about":[{"href":"https:\/\/kleineberg.co.uk\/CTS-2025\/wp-json\/wp\/v2\/types\/mp-event"}],"author":[{"embeddable":true,"href":"https:\/\/kleineberg.co.uk\/CTS-2025\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kleineberg.co.uk\/CTS-2025\/wp-json\/wp\/v2\/comments?post=1453"}],"wp:attachment":[{"href":"https:\/\/kleineberg.co.uk\/CTS-2025\/wp-json\/wp\/v2\/media?parent=1453"}],"wp:term":[{"taxonomy":"mp-event_category","embeddable":true,"href":"https:\/\/kleineberg.co.uk\/CTS-2025\/wp-json\/wp\/v2\/mp-event_category?post=1453"},{"taxonomy":"mp-event_tag","embeddable":true,"href":"https:\/\/kleineberg.co.uk\/CTS-2025\/wp-json\/wp\/v2\/mp-event_tag?post=1453"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}