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 } .
Besides them , 24 middle-size ” 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 .
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 ellipsoide approximation ) .
Being arranged by the size of their volume , local voids follow power law of volumes-rankes dependence .
A correlation Gamma-function of the Local Volume galaxies follows a power low 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 on their luminosity , but have appreciably higher hydrogen mass-to-luminosity ratio and also higher star formation rate .
We recognize an effect of local expansion of typical minivoid to be \Delta H / H _ { 0 } \sim ( 25 \pm 15 ) %