Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Klaus Schmidt，Universityof Vienna
Onsome of the differences between Z and Z2 in dynamics
Time & Venue:
2019.5.28 15:00-16:00 N913
Around1970 it was discovered that measure preserving actions of Z2 on probability spaces can have remarkably differentproperties from Z-actions, i.e. from actions of single transformations. Many of these differences can be describedas ‘rigidity phenomena’ and manifest themselves in the scarcity of certain objects for Z2-actions which are abundant for Z-actions: they may have unexpectedly few invariant probability measures, invariant sets, isomorphisms or automorphisms.