Departmental Colloquium
Dan Mauldin
University of North Texas
Ergodic theory and homeomorphic Bernoulli trial measures on the Cantor space
Abstract: The following problem has its origins in some early work of Ulam
and Oxtoby in the foundations of ergodic theory. For each r, 0< r <1, let
m(r) be the measure on the Cantor space induced by an infinite sequence of
independent Bernoulli trials. The question is: given m(r) and m(s), when
is there a homeomorphism, h, of Cantor space such that m(r)(E) =
m(s)(h(E)), for each Borel set E. We will answer this question and will
pose a number of related still unsolved questions
Friday October 31, 2008 at 3:00 PM in SEO 636