We study questions related to critical points of the Green's function of a bounded multiply connected domain in the complex plane. The motion of critical points, their limiting positions as the pole ...

We analyze the relationship between boundary fixed points of semigroups of analytic functions and boundary critical points of their infinitesimal generators. As a consequence, we show two new ...

Random polynomials, whose coefficients or zeros are drawn from probability distributions, provide a fertile ground for understanding complex systems and statistical behaviours. A central theme in this ...