{"id":6411,"date":"2026-10-19T09:48:52","date_gmt":"2026-10-19T09:48:52","guid":{"rendered":"https:\/\/phd.hi.is\/doktorsvorn\/doktorsvorn-i-staerdfraedi-daniel-amankwah\/"},"modified":"2026-10-19T09:48:52","modified_gmt":"2026-10-19T09:48:52","slug":"doktorsvorn-i-staerdfraedi-daniel-amankwah","status":"publish","type":"phd_defence","link":"https:\/\/phd.hi.is\/en\/doktorsvorn\/doktorsvorn-i-staerdfraedi-daniel-amankwah\/","title":{"rendered":"Doktorsv\u00f6rn \u00ed st\u00e6r\u00f0fr\u00e6\u00f0i &#8211; Daniel Amankwah"},"content":{"rendered":"<div class=\"field-items\">\n<div class=\"field-item even\" property=\"content:encoded\">\n<p><strong>Doktorsefni:<br \/><\/strong>Daniel Amankwah<\/p>\n<p><strong>Heiti ritger\u00f0ar:<br \/><\/strong>Sk\u00f6lunarmarkgildi veginna trj\u00e1legra slembiflata<\/p>\n<p><strong>Andm\u00e6lendur<\/strong>:<br \/>Dr. Cyril Marzouk, lektor vi\u00f0 deild Hagn\u00fdttrar st\u00e6r\u00f0fr\u00e6\u00f0i, \u00c9cole polytechnique, Frakklandi.<br \/>Dr. B\u00e9n\u00e9dicte Haas, pr\u00f3fessor vi\u00f0 St\u00e6r\u00f0fr\u00e6\u00f0ideild, Universit\u00e9 Sorbonne Paris Nord, Frakklandi.<\/p>\n<p><strong>Lei\u00f0beinandi:<br \/><\/strong>Dr. Sigur\u00f0ur \u00d6rn Stef\u00e1nsson, pr\u00f3fessor vi\u00f0 Raunv\u00edsindadeild, H\u00e1sk\u00f3la \u00cdslands<\/p>\n<p><strong>Einnig \u00ed doktorsnefnd:<br \/><\/strong>Dr. Benedikt Steinar Magn\u00fasson, d\u00f3sent vi\u00f0 Raunv\u00edsindadeild, H\u00e1sk\u00f3la \u00cdslands<br \/>Dr. Benedikt Stufler, d\u00f3sent vi\u00f0 Stofnun strj\u00e1llar st\u00e6r\u00f0fr\u00e6\u00f0i og r\u00famfr\u00e6\u00f0i, T\u00e6knih\u00e1sk\u00f3lanum \u00ed V\u00edn, Austurr\u00edki<\/p>\n<p><strong>Doktorsv\u00f6rn st\u00fdrir:<br \/><\/strong>Dr. Birgir Hrafnkelsson, pr\u00f3fessor og deildarforseti Raunv\u00edsindadeildar H\u00cd\u00a0<\/p>\n<p><strong>\u00c1grip:<br \/><\/strong>\u00cd ritger\u00f0inni er fjalla\u00f0 um slembin sl\u00e9ttukort. Vi\u00f0 f\u00e1umst vi\u00f0 flokk sl\u00e9ttukorta sem l\u00edkjast trj\u00e1m og ranns\u00f6kum sk\u00f6lunarmarkgildi \u00feeirra. N\u00e1nar tilteki\u00f0 sko\u00f0um vi\u00f0 svok\u00f6llu\u00f0 Halin-kort og ra\u00f0-hli\u00f0tengd kort. Meginmarkmi\u00f0i\u00f0 er a\u00f0 s\u00fdna a\u00f0 \u00e1kve\u00f0in slembin fir\u00f0r\u00fam eru sk\u00f6lunarmarkildi \u00feessara l\u00edkana og undirstrika \u00fear me\u00f0 allsherjareiginleika \u00feeirra. Brownska tr\u00e9 Aldous (CRT) er eitt sl\u00edkra slembifir\u00f0r\u00fama en s\u00fdnt hefur veri\u00f0 a\u00f0 \u00fea\u00f0 er sk\u00f6lunarmarkgildi \u00fdmissa \u00f3l\u00edkra strj\u00e1lla l\u00edkana af jafndreif\u00f0um slembikortum. St\u00f6\u00f0ug lykkjutr\u00e9, sem kynnt voru til s\u00f6gunnar af Curien og Kortchemski eru anna\u00f0 d\u00e6mi. \u00deau reynast vera sk\u00f6lunarmarkgildi \u00fdmissi slembikorta sem l\u00edkjast trj\u00e1m, \u00feegar \u00feunghaladreifing er sett \u00e1 m\u00f6skvast\u00e6r\u00f0ir \u00feeirra \u00feannig a\u00f0 d\u00e6miger\u00f0ur m\u00f6skvi hefur slembna st\u00e6r\u00f0 sem dregst a\u00f0 st\u00f6\u00f0ugri dreifingu. Anna\u00f0 markmi\u00f0 er a\u00f0 skilja hvernig mismunandi sk\u00f6lunarmarkgildi koma fram \u00ed flokkum jafndreif\u00f0ra neta sem skilgreindir eru \u00feannig a\u00f0 netin innihalda ekki hlutnet grannm\u00f3ta tilteknum netum. Ra\u00f0-hli\u00f0tengd net, sem m\u00e1 skilgreina \u00feannig a\u00f0 \u00feau eru net sem innihalda ekki hlutnet grannnm\u00f3ta $K_4$, eru a\u00f0 okkar vitneskju st\u00e6rsti sl\u00edki flokkur sem hefur CRT sem sk\u00f6lunarmarkgildi.\u00a0<\/p>\n<p><strong>Um doktorsefni\u00f0:<br \/><\/strong>Daniel Amankwah er f\u00e6ddur og uppalinn \u00ed Akra, Gana. Hann lauk BS gr\u00e1\u00f0u \u00ed st\u00e6r\u00f0fr\u00e6\u00f0i fr\u00e1 H\u00e1sk\u00f3lanum \u00ed Gana \u00e1ri\u00f0 2012, MS gr\u00e1\u00f0u \u00ed st\u00e6r\u00f0fr\u00e6\u00f0i fr\u00e1 African Institute for Mathematical Sciences (AIMS) \u00ed Senegal \u00e1ri\u00f0 2014 og MS gr\u00e1\u00f0u \u00ed E\u00f0lisfr\u00e6\u00f0i fr\u00e1\u00a0 Aix-Marseille h\u00e1sk\u00f3lanum \u00ed Frakklandi \u00e1ri\u00f0 2017. \u00c1\u00f0ur en hann h\u00f3f dokorsn\u00e1m\u00a0 vi\u00f0 H\u00e1sk\u00f3la \u00cdslands kenndi hann vi\u00f0 H\u00e1sk\u00f3lann \u00ed Gana. Hann b\u00fdr \u00ed Reykjav\u00edk me\u00f0 konu sinni og tveimur d\u00e6trum.<\/p>\n<\/div><\/div>","protected":false},"featured_media":5780,"template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_phd_date_start":"2025-06-20T09:00:00+00:00","_phd_date_end":"2025-06-20T11:00:00+00:00","_phd_location":"Askja Stofa N-132","_phd_admission":"A\u00f0gangur \u00f3keypis","_phd_thesis_title":"Sk\u00f6lunarmarkgildi veginna trj\u00e1legra slembiflata","_phd_source_url":"https:\/\/gamli.hi.is\/vidburdir\/doktorsvorn_i_staerdfraedi_daniel_amankwah","_phd_source_node_id":"441604","_phd_source_type":"vidburdir","_phd_member_id":949,"footnotes":""},"phd_school":[101,93],"phd_discipline":[103],"class_list":["post-6411","phd_defence","type-phd_defence","status-publish","has-post-thumbnail","hentry","phd_school-raunvisindadeild","phd_school-verkfraedi-og-natturuvisindasvid","phd_discipline-phd-i-staerdfraedi"],"_links":{"self":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence\/6411","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence"}],"about":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/types\/phd_defence"}],"version-history":[{"count":0,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence\/6411\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/media\/5780"}],"wp:attachment":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/media?parent=6411"}],"wp:term":[{"taxonomy":"phd_school","embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_school?post=6411"},{"taxonomy":"phd_discipline","embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_discipline?post=6411"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}