{"id":3847,"date":"2025-09-21T18:30:36","date_gmt":"2025-09-22T01:30:36","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3847"},"modified":"2025-09-21T18:32:26","modified_gmt":"2025-09-22T01:32:26","slug":"analysis-seminar-transfinite-apollonian-metric-zair-ibragimov-csu-fullerton","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-transfinite-apollonian-metric-zair-ibragimov-csu-fullerton\/","title":{"rendered":"Analysis seminar: Transfinite Apollonian metric (Zair Ibragimov, CSU Fullerton)"},"content":{"rendered":"

Title: Transfinite Apollonian metric<\/a><\/p>\n

Abstract: The concept of transfinite diameter of compact sets in the complex plane was introduced by Fekete in 1923. It is a generalization of the standard diameter of sets and has found many applications in the study of conformal mappings. The Apollonian metric was introduced by A. Beardon in 1995 and has since been used in the study of non-Euclidean geometries, hyperbolic-type metrics, and quasiconformal mappings. After a brief introduction to these concepts, we will discuss in some details the constructions of Apollonian metrics of order k and the transfinite Apollonian metric. Time permitting, we will discuss several properties, connections to other hyperbolic-type metrics, and some open problems.<\/p>\n","protected":false},"excerpt":{"rendered":"

Title: Transfinite Apollonian metric Abstract: The concept of transfinite diameter of compact sets in the complex plane was introduced by Fekete in 1923. 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