Dynamical Systems Seminar

Title: Fractal dimension of the set of divergent trajectories
Speaker: Yitwah Cheung
Speaker Info: Northwestern
Brief Description:
Special Note:

Consider a flow on a noncompact metric space $\Omega$ and let $D^+\subset\Omega$ be the set of points whose forward trajectory leaves every compact set. It will be shown that for certain special cases of homogeneous flows the fractal dimension of $D^+$ is equal to $\dim\Omega-1/2$. These empirical observations are in stark contrast to a result of Kleinboch-Margulis '96 which asserts that the set of bounded orbits has have full (Hausdorff) dimension.

Date: Monday, October , 2001
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Keith Burns
Contact email: burns@math.northwestern.edu
Contact Phone: 847-491-3013
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