Millican Colloquium: Lebesgue spectrum for area preserving flows on the two-torus--Adam Kanigowski ( Penn State) | Department of Mathematics
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Millican Colloquium: Lebesgue spectrum for area preserving flows on the two-torus--Adam Kanigowski ( Penn State)

Event Information
Speaker: 
Adam Kanigowski (Penn State)
Event Location: 
GAB 461 (Refreshments at 3:30 in 472)
Event Date: 
Monday, February 26, 2018 - 4:00pm

We are interested in chaotic properties of smooth flows on surfaces. By Pesin formula it follows that the entropy of such flows is always 0. Another measure of chaoticitiy (having strong mixing consequences) is given by the spectral measure being equivalent to Lebesgue measure. We show that there exists a class of smooth flows on $\mathbb{T}^2$ (with one fixed point) for which the maximal spectral type is Lebesgue.