Mathematics

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Event Detail Information

Event Detail Information

Date Nov 21, 2013
Time 4:00 pm  
Location 245 Altgeld Hall
Sponsor Department of Mathematics
Contact Steve Bradlow
Event type colloquia
Views 1430
Peter Olver (University of Minnesota) will present "Dispersive Quantization -- the Talbot Effect." The evolution, through linear dispersion, of piecewise constant periodic initial data leads to surprising quantized structures at rational times, and fractal, non-differentiable profiles at irrational times. Similar phenomena have been observed in optics and quantum mechanics, where it is known as the Talbot effect after an optical experiment by one of the founders of photography, and lead to intriguing connections with exponential sums arising in number theory. Ramifications of these observations for numerics and nonlinear wave models will be discussed.
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