2 papers
math.CV2025
On the area of polynomial lemniscates
Manjunath Krishnapur, Erik Lundberg, Koushik Ramachandran
Erdös posed in 1940 the extremal problem of studying the minimal area of the lemniscate of a monic polynomial of degree all of whose zeros are in the closed…
math.PR2023
Inradius of random lemniscates
Manjunath Krishnapur, Erik Lundberg, Koushik Ramachandran
A classically studied geometric property associated to a complex polynomial is the inradius (the radius of the largest inscribed disk) of its (filled) lemniscate $Λ:= \{z \in \…