Continuity of Hausdorff measure for conformal dynamical systems
Continuity of Hausdorff measure for conformal dynamical systems
Developing the pioneering work of Lars Olsen [14], we deal with the question of continuity of the numerical value of Hausdorff measures of some natural families of conformal dynamical systems endowed with an appropriate natural topology. In particular, we prove such continuity for hyperbolic polynomials from the Mandelbrot set, and …