Minivoids in the local volume

We consider a sphere of 7.5 Mpc radius, which contains 355 galaxies with accurately measured distances, to detect the nearest empty volumes. Using a simple void detection algorithm, we found six large (mini) voids in Aquila, Eridanus, Leo, Vela, Cepheus, and Octans, each of more than 30 Mpc(3). In addition, 24 middle-sized bubbles'' of more than 5 Mpc(3) volume are detected, as well as 52 small pores.'' The six largest minivoids occupy 58% of the considered volume. The addition of the bubbles and pores to them increases the total empty volume up to 75% and 81%, respectively. The detected local voids look like oblong potatoes with typical axial ratios b/a = 0.75 and c/a = 0.62 (in the triaxial ellipsoid approximation). Being arranged by the size of their volume, local voids follow a power law for volume-rank dependence. A correlation Gamma function of the Local Volume galaxies follows a power law with a formally calculated fractal dimension D = 1.5. We found that galaxies surrounding the local minivoids do not differ significantly from other nearby galaxies in their luminosity, but have appreciably higher hydrogen mass-to-luminosity ratios and also higher star formation rates. We recognize an effect of the local expansion of a typical minivoid to be Delta H/H-0 similar to (25 +/- 15)%.