Sums involving Diophantine numbers and applications to differential equations.

Series: 
Dynamical Systems Working Seminar
Tuesday, November 10, 2015 - 17:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Georgia Tech
In the study of perturbation theories in Dynamical systems one is often interested in solving differential equations involving frequencies satisfying number theoretic properties.  We will present some estimates ofsums involving Diophantine frequencies leading to sharp estimates on the differential equations.