{"id":714,"date":"2017-02-27T14:10:01","date_gmt":"2017-02-27T12:10:01","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=714"},"modified":"2017-03-08T21:00:25","modified_gmt":"2017-03-08T19:00:25","slug":"colloquium-tuesday-march-7-2-pm-speaker-tom-meyerovitch-ben-gurion-title-on-the-pseudo-orbit-tracing-property-and-algebraic-actions-of-countable-groups","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=714","title":{"rendered":"Colloquium: Tuesday, March 7, 2 pm. Speaker: Tom Meyerovitch (Ben Gurion). Title: &#8220;On the pseudo-orbit tracing property and algebraic actions of countable groups&#8221;."},"content":{"rendered":"<p>Topological dynamics studies behaviour of orbits under continuous transformations. Algebraic dynamics is the name attached to the study of automorphisms acting on a compact abelian group, from a &#8220;dynamical point of view&#8221;. In the 1970&#8217;s, motivated by the study of Axiom A maps, R. Bowen introduced the pseudo-orbit tracing property for a homeomorphism. Roughly, this property asserts that every sequence of points that is locally a perturbation of an orbit is globally traced by a genuine orbit. The notion of pseudo-orbit tracing property naturally extends to actions of general groups. We will see what makes dynamical systems admitting the pseudo-orbit tracing property interesting, in particular in combination with another fundamental dynamical property called expansiveness, and how all this relates to algebraic dynamical systems.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Topological dynamics studies behaviour of orbits under continuous transformations. Algebraic dynamics is the name attached to the study of automorphisms acting on a compact abelian group, from a &#8220;dynamical point of view&#8221;. In the 1970&#8217;s, motivated by the study of&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=714\">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-714","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\/714","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=714"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/714\/revisions"}],"predecessor-version":[{"id":715,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/714\/revisions\/715"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=714"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=714"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=714"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}