{"id":19368,"date":"2024-03-11T18:58:58","date_gmt":"2024-03-11T09:58:58","guid":{"rendered":"https:\/\/www.waseda.jp\/fsci\/mathphys\/?p=19368"},"modified":"2024-03-11T19:10:31","modified_gmt":"2024-03-11T10:10:31","slug":"stochastic-processes-in-random-media-special-lectures-3-3-2","status":"publish","type":"post","link":"https:\/\/www.waseda.jp\/fsci\/mathphys\/news\/19368","title":{"rendered":"\u7279\u5225\u8b1b\u7fa9  \u201cStochastic Models in Evolution&#8221;"},"content":{"rendered":"<p>\u6570\u7269\u7cfb\u79d1\u5b66\u62e0\u70b9\u3067\u306f\u30012024\u5e744\u670822\u65e5\uff08\u6708\uff09\u306824\u65e5\uff08\u6c34\uff09\u306b\u3001\u56fd\u969b\u6559\u80b2\u6d3b\u52d5\u306e\u4e00\u74b0\u3068\u3057\u3066Anton Bovier\u5148\u751f\uff08\u30e9\u30a4\u30f3\u30fb\u30d5\u30ea\u30fc\u30c9\u30ea\u30d2\u30fb\u30f4\u30a3\u30eb\u30d8\u30eb\u30e0\u5927\u5b66\u30dc\u30f3\uff09\u3092\u304a\u8fce\u3048\u3057\u7279\u5225\u8b1b\u7fa9\u201cStochastic Models in Evolution&#8221;\u3092\u958b\u50ac\u3057\u307e\u3059\u3002<\/p>\n<h4>\u8b1b\u6f14\u30bf\u30a4\u30c8\u30eb<\/h4>\n<p>Scaling limits in the stochastic individual based model of adaptive dynamics: From the law of large numbers to metastability<\/p>\n<h4>Abstract<\/h4>\n<p>The so-called stochastic individual based model of adaptive dynamics describes the time evolution of heterogeneous populations that evolve under the key evolutionary mechanisms: birth, death, competition, heredity and mutation. There are three key scaling parameters in this model: population size K, mutation rate \u03bc, and mutation step size \u03b4. In these lectures I will explain how by different choices of taking limits in these parameters, an amazing variety of asymptotic processes arise on different time scales. These capture on the qualitative scale several key features of biological evolution taking place on a hierarchy of time scales.<\/p>\n<h4>\u65e5\u7a0b<\/h4>\n<p class=\"moz-quote-pre\">2024\u5e744\u670822\u65e5\uff08\u6708\uff0916:00-18:00<\/p>\n<p class=\"moz-quote-pre\">2024\u5e744\u670824\u65e5\uff08\u6c34\uff0916:00-18:00<\/p>\n<h4>\u8b1b\u5e2b<\/h4>\n<p><a href=\"https:\/\/wt.iam.uni-bonn.de\/bovier\/home\/\">Prof. Dr. Anton Bovier<\/a>\u3000\u00a0(Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn)<\/p>\n<div id=\"attachment_19340\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.waseda.jp\/fsci\/mathphys\/assets\/uploads\/2024\/03\/csm_IMG_4490_9c81f0b327.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-19340 size-full\" src=\"https:\/\/www.waseda.jp\/fsci\/mathphys\/assets\/uploads\/2024\/03\/csm_IMG_4490_9c81f0b327.jpg\" alt=\"\" width=\"300\" height=\"425\" \/><\/a><p class=\"wp-caption-text\">Prof. Dr. Anton Bovier<\/p><\/div>\n<h4>\u4f1a\u5834<\/h4>\n<p>\u65e9\u7a32\u7530\u5927\u5b66\u897f\u65e9\u7a32\u7530\u30ad\u30e3\u30f3\u30d1\u30b955N\u53f7\u9928 1\u968e \u7b2c\u4e00\u4f1a\u8b70\u5ba4\u00a0(<a href=\"https:\/\/www.waseda.jp\/top\/access\/nishiwaseda-campus\">\u30a2\u30af\u30bb\u30b9<\/a>)\/ Zoom\u306b\u3088\u308b\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u958b\u50ac<\/p>\n<h4>\u8a00\u8a9e<\/h4>\n<p>English<\/p>\n<h4>\u5bfe\u8c61\u8005<\/h4>\n<p>\u7814\u7a76\u8005\u3001\u5b66\u751f<\/p>\n<h4>\u4e8b\u524d\u767b\u9332<\/h4>\n<p>ZOOM\u53c2\u52a0\u8005\u306f\u4e8b\u524d\u767b\u9332\u304c\u5fc5\u8981\u3067\u3059\u3002<br \/>\n<a href=\"https:\/\/list-waseda-jp.zoom.us\/meeting\/register\/tJMscu6grTMoG9P4m4ExePhaFftSuBZMy9mM#\/registration\">\u3053\u3061\u3089<\/a>\u304b\u3089\u53c2\u52a0\u767b\u9332\u3092\u304a\u9858\u3044\u3057\u307e\u3059\u3002<\/p>\n<h4>\u304a\u554f\u5408\u305b<\/h4>\n<p>\u718a\u8c37\u9686\uff08\u65e9\u7a32\u7530\u5927\u5b66\u7406\u5de5\u5b66\u8853\u9662\u6570\u5b66\u79d1\u3000\u6559\u6388\uff09<br \/>\nt-kumagai [at] waseda.jp<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u7269\u7cfb\u79d1\u5b66\u62e0\u70b9\u3067\u306f\u30012024\u5e744\u670822\u65e5\uff08\u6708\uff09\u306824\u65e5\uff08\u6c34\uff09\u306b\u3001\u56fd\u969b\u6559\u80b2\u6d3b\u52d5\u306e\u4e00\u74b0\u3068\u3057\u3066Anton Bovier\u5148\u751f\uff08\u30e9\u30a4\u30f3\u30fb\u30d5\u30ea\u30fc\u30c9\u30ea\u30d2\u30fb\u30f4\u30a3\u30eb\u30d8\u30eb\u30e0\u5927\u5b66\u30dc\u30f3\uff09\u3092\u304a\u8fce\u3048\u3057\u7279\u5225\u8b1b\u7fa9\u201cStochastic Models i [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":19353,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[53,139],"class_list":["post-19368","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news","tag-events","tag-lecture"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/posts\/19368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/comments?post=19368"}],"version-history":[{"count":2,"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/posts\/19368\/revisions"}],"predecessor-version":[{"id":19374,"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/posts\/19368\/revisions\/19374"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/media\/19353"}],"wp:attachment":[{"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/media?parent=19368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/categories?post=19368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.waseda.jp\/fsci\/mathphys\/wp-json\/wp\/v2\/tags?post=19368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}