{"id":848,"date":"2025-01-03T13:52:29","date_gmt":"2025-01-03T11:52:29","guid":{"rendered":"https:\/\/users.utu.fi\/jkari\/?page_id=848"},"modified":"2025-01-28T14:13:56","modified_gmt":"2025-01-28T12:13:56","slug":"sd2025-syllabus","status":"publish","type":"page","link":"https:\/\/users.utu.fi\/jkari\/sd2025-syllabus\/","title":{"rendered":"Symbolic Dynamics syllabus"},"content":{"rendered":"<p>&nbsp;<\/p>\n<div align=\"CENTER\">\n<h3>Spring semester 2025<b><span style=\"color: #ff0000\"><br \/>\nSymbolic Dynamics<\/span><\/b><\/h3>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left\"><b>Lectures<\/b> (14 times 2 hours)\u00a0 Jan 15 &#8211; Feb 28:<\/p>\n<\/div>\n<ul>\n<li>10:15-12:00 Wednesdays in room M1 (Quantum, 2nd floor)<\/li>\n<li>10:15-12:00 Thursdays in room M2 (Quantum 2nd floor)<\/li>\n<li>10:15-12:00 Fridays in room M1 (Quantum, 2nd floor)<\/li>\n<\/ul>\n<p><b>Homework sessions<\/b> (6 times 2 hours):<\/p>\n<ul>\n<li>10:15-12:00 Mondays in room M1 (Quantum, 2nd floor)<\/li>\n<\/ul>\n<p><strong>Exceptions:<\/strong> No classes on 17.1.-24.1. and not on Thursday Feb 27. On Friday Feb 28. will be homework instead of a lecture.<\/p>\n<p><b>Course Web Page:<\/b> <a href=\"http:\/\/users.utu.fi\/jkari\/sd2025\">http:\/\/users.utu.fi\/jkari\/sd2025<\/a><\/p>\n<p><b>Instructor: <\/b>\u00a0<a href=\"http:\/\/users.utu.fi\/jkari\">Jarkko Kari<\/a> &lt;jkari@utu.fi&gt;; office: Quantum 365, 3rd floor<\/p>\n<p><b>Textbook:<\/b><\/p>\n<ul>\n<li>No textbook. Lecture notes are posted on the course web page.<\/li>\n<\/ul>\n<p><b>About homework:<\/b><\/p>\n<ul>\n<li>To pass the course, at least 25% of the homework problems must be completed. The more problems you solve, the more credit towards the final grade you get: You get demo class\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>A, if you complete 70%-100%,<\/li>\n<li>B, if you complete 45%-70%,<\/li>\n<li>C, if you complete 25%-45%<\/li>\n<\/ul>\n<p>of the given problems.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><b style=\"background-color: var(--global--color-background);color: var(--global--color-primary);font-family: var(--global--font-secondary);font-size: var(--global--font-size-base)\">Final exam:<\/b><\/p>\n<ul>\n<li>Date TBA<\/li>\n<li>Anyone with democlass at least C has qualified to take the exam.<\/li>\n<li>Homework activity (demo class A, B or C) and the score of the final exam determine the final grade.<\/li>\n<\/ul>\n<p><big><b>Brief course outline<\/b><\/big><\/p>\n<ul>\n<li>Review of topology (compact metric spaces, Cantor space)<\/li>\n<li>Topological dynamics (mixing properties, recurrence, sensitivity)<\/li>\n<li>Intoduction to shift spaces<\/li>\n<li>Subshifts of finite type, sofic shifts, effective subshifts<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Spring semester 2025 Symbolic Dynamics &nbsp; Lectures (14 times 2 hours)\u00a0 Jan 15 &#8211; Feb 28: 10:15-12:00 Wednesdays in room M1 (Quantum, 2nd floor) 10:15-12:00 Thursdays in room M2 (Quantum 2nd floor) 10:15-12:00 Fridays in room M1 (Quantum, 2nd floor) Homework sessions (6 times 2 hours): 10:15-12:00 Mondays in room M1 (Quantum, 2nd floor)&hellip; <a class=\"more-link\" href=\"https:\/\/users.utu.fi\/jkari\/sd2025-syllabus\/\">Continue reading <span class=\"screen-reader-text\">Symbolic Dynamics syllabus<\/span><\/a><\/p>\n","protected":false},"author":6330,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-848","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/users.utu.fi\/jkari\/wp-json\/wp\/v2\/pages\/848","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/users.utu.fi\/jkari\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/users.utu.fi\/jkari\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/users.utu.fi\/jkari\/wp-json\/wp\/v2\/users\/6330"}],"replies":[{"embeddable":true,"href":"https:\/\/users.utu.fi\/jkari\/wp-json\/wp\/v2\/comments?post=848"}],"version-history":[{"count":2,"href":"https:\/\/users.utu.fi\/jkari\/wp-json\/wp\/v2\/pages\/848\/revisions"}],"predecessor-version":[{"id":873,"href":"https:\/\/users.utu.fi\/jkari\/wp-json\/wp\/v2\/pages\/848\/revisions\/873"}],"wp:attachment":[{"href":"https:\/\/users.utu.fi\/jkari\/wp-json\/wp\/v2\/media?parent=848"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}