{"id":205,"date":"2018-01-24T11:42:58","date_gmt":"2018-01-24T11:42:58","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/pgrseminars\/?p=205"},"modified":"2018-08-14T13:17:58","modified_gmt":"2018-08-14T12:17:58","slug":"26-january-andrew-celsus-university-of-cambridge-asymptotics-of-orthogonal-polynomials-with-respect-to-varying-complex-weights","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2018\/01\/24\/26-january-andrew-celsus-university-of-cambridge-asymptotics-of-orthogonal-polynomials-with-respect-to-varying-complex-weights\/","title":{"rendered":"26 January ~ Andrew Celsus (University of Cambridge) &#8220;Asymptotics of Orthogonal Polynomials with Respect to Varying Complex Weights&#8221;"},"content":{"rendered":"<p><span style=\"font-size: small\">Motivated by the numerical approximation of highly oscillatory<br \/>\nintegrals, we consider asymptotics of orthogonal polynomials with<br \/>\nrespect to varying complex weights. The zeros of these polynomials<br \/>\naccumulate along various arcs in the complex plane, and the study of the<br \/>\nasymptotic zero distribution of these polynomials relies on many<br \/>\ninteresting areas of mathematics, including complex analysis,<br \/>\nlogarithmic potential theory, and harmonic analysis.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Motivated by the numerical approximation of highly oscillatory integrals, we consider asymptotics of orthogonal polynomials with respect to varying complex weights. The zeros of these &hellip; <a href=\"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2018\/01\/24\/26-january-andrew-celsus-university-of-cambridge-asymptotics-of-orthogonal-polynomials-with-respect-to-varying-complex-weights\/\">Read&nbsp;more<\/a><\/p>\n","protected":false},"author":52945,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[170525,170524,1],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/205"}],"collection":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/users\/52945"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/comments?post=205"}],"version-history":[{"count":1,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/205\/revisions"}],"predecessor-version":[{"id":206,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/205\/revisions\/206"}],"wp:attachment":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/media?parent=205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/categories?post=205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/tags?post=205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}