3 problems

ZabrodinWiegmann prediction. If the droplet $S_V$ is connected, then

Minkowski's measure regularity conjecture. Minkowski's measure $\mu$ is regular in the sense of Ullman--Stahl--Totik. This is a problem in logarithmic potential theory and orthogon…

Let an extremal tuple of measures be a solution of the vector weighted logarithmic energy problem considered in the paper, with external fields satisfying the stated admissibility…