{"id":1329,"date":"2018-12-05T21:40:21","date_gmt":"2018-12-05T19:40:21","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1329"},"modified":"2018-12-13T11:18:30","modified_gmt":"2018-12-13T09:18:30","slug":"colloquium-tuesday-december-11-2018-speaker-alon-nishry-tel-aviv-university-title-value-distribution-of-random-power-series","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1329","title":{"rendered":"Colloquium: Tuesday, December 11, 2018. Speaker: Alon Nishry (Tel Aviv University). Title: &#8220;Value distribution of random power series&#8221;."},"content":{"rendered":"<p>Department of Mathematics\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 University of \u00a0Haifa<\/p>\n<p>&nbsp;<\/p>\n<p><strong><u>Colloquium<\/u><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>Speaker: Alon Nishry (Tel Aviv University)<\/p>\n<p>&nbsp;<\/p>\n<p>Topic:\u00a0Value distribution of random power series<\/p>\n<p>&nbsp;<\/p>\n<p>Place:\u00a0Room 614 in the Education &amp; Sciences Building<\/p>\n<p>Time:\u00a0<strong>14:00<\/strong><\/p>\n<p>Date:\u00a0Tuesday, December 11, 2018<\/p>\n<p>&nbsp;<\/p>\n<p><strong><u>Abstract<\/u><\/strong><strong><u>:<\/u><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>Many of the central problems in complex analysis involve the study of the solution set {z : f(z) = b}, where f is an analytic function in some domain, as b varies over the complex numbers or a subset of them. The qualitative and quantitative characterization of these sets is sometimes called the value distribution of f. In general, it is difficult to obtain precise results for a given function f, however, when f is given by a random power series, whose coefficients are independent random variables, such results can be obtained. Moreover, if the coefficients are complex Gaussians, the results are especially elegant, in particular in this talk I will discuss some different notions of `rigidity\u2019 of the zero set of the function f.<\/p>\n<p>&nbsp;<\/p>\n<p>Tea will be served before the talk (at <strong>13:50<\/strong>).<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Department of Mathematics\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 University of \u00a0Haifa &nbsp; Colloquium &nbsp; Speaker: Alon Nishry (Tel Aviv University) &nbsp; Topic:\u00a0Value distribution of random power series &nbsp; Place:\u00a0Room 614 in the Education &amp; Sciences Building Time:\u00a014:00 Date:\u00a0Tuesday, December 11, 2018 &nbsp; Abstract: &nbsp; Many&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1329\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-1329","post","type-post","status-publish","format-standard","hentry","category-colloquium"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1329","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1329"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1329\/revisions"}],"predecessor-version":[{"id":1330,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1329\/revisions\/1330"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1329"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1329"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1329"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}