Aug 21, 2009
Representation of Period Doubling by digraphs and Characteristic Polynomialsm
by Yoshifumi Takenouchi
Institute of Mathematics
University of the Philippines
Diliman Quezon City
A general procedure which defines a partial ordering of cyclic permutations induced by continuous maps is known for constructing immediate successors to a cycle. We expound on this procedure in terms of labelled digraphs and characteristic polynomials then apply this study to period doubling, the most common route to chaos for a nonlinear dynamical system.
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Sep 25, 2009
Infinite Trouble with Infinity (a quick tour in Cantor's Paradise)
by Grazyna Badowski
University of Guam
Have you ever wondered what is infinity? You are not the only one. For centuries, many philosophers and mathematicians struggled with it. How to define a set with infinite number of elements? Do all infinite sets have the same number of elements? Is it possible that one infinity is "bigger" than the other? If yes, how can we check it? How can we check if two infinite sets have the same number of elements?
If you think that these problems are interesting, we would like to invite you for a quick tour in Cantor's Paradise. Georg Cantor was a mathematician whose work in the set theory was revolutionary. His theory first faced strong objections from other mathematicians, philosophers and even theologians.
No mathematical knowledge is required for this talk. You do not even need to know how to count up to 10, ha, ha! Just bring your brave and open mind.
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