Research Team in Measurable Dynamics
Director: Dan Rudolph, djr@math.umd.edu, 301-405-5162
Co-director: Steve Kalikow (in the Fall, Steve is now at University of Memphis)
Motivating Project: In 1975 Hillel Furstenberg proved that for any value x
irrational, the set of numbers {2i3jx mod 1},
for i and j in N, is dense. He asked whether in fact
this set must be uniformly distributed. We will design and carry out computer experiments
to seek greater insight into this longstanding question. The best results to date
on this problem rest deeply on the notion of Kolmogorov-Sinai entropy and as a broader
area of investigation we will look at a variety of modern approaches and questions
around this fundamental concept.
Meeting Times: The regular meeting times for the team are 10-11 on Tuesdays and
3-4 on Thursdays in room 1310 unless otherwise announced. The Tuesday meeting is
an academic lecture on the basics of measure theory and measurable dynamics. At
the Thursday meetings we will continue to pursue our statistical approach to Furstenberg's
conjecture.
Expectations: The team is open to all. We currently have undergraduate, first year
and more advanced graduate students on our team. We expect active participation
by all members and will design activities around the level of background of the
participant. Please contact the Team Director if you wish to join the team as some
background preparation will be needed.
Links: Math Graduate Page on
RIT's
AMSC Page on RIT's