44 citations · 156 across the 33 of their papers we have counts for
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math.DS2020
Limit cycle enumeration in random vector fields
Erik Lundberg
We study the number and distribution of the limit cycles of a planar vector field whose component functions are random polynomials. We prove a lower bound on the average number of…
math.CV2020
A note on arclength null quadrature domains
Dmitry Khavinson, Erik Lundberg
We prove the existence of a roof function for arclength null quadrature domains having finitely many boundary components. This bridges a gap toward classification of arclength null…