23 citations · 66 across the 17 of their papers we have counts for
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math.CV2011
On the dynamics of roots and poles for solutions of the Polubarinova-Galin equation
Björn Gustafsson, Yu-Lin Lin
We study the dynamics of roots of f'(z,t), where f(z,t) is a locally univalent polynomial solution of the Polubarinova-Galin equation for the evolution of the conformal map onto a…
math.CV2011★ 19 cited
On the exponential transform of multi-sheeted algebraic domains
Björn Gustafsson, Vladimir G. Tkachev
We introduce multi-sheeted versions of algebraic domains and quadrature domains, allowing them to be branched covering surfaces over the Riemann sphere. The two classes of domains…
math.CV2011★ 2 cited
On the exponential transform of lemniscates
Björn Gustafssom, Vladimir G. Tkachev
It is known that the exponential transform of a quadrature domain is a rational function for which the denominator has a certain separable form. In the present paper we show that t…