As the first step to study the problem of connectivity number of Fatou components in rational maps space with fixed degree, we just investigate the connectivity of any other Fatou component of R(z, t) as the real parameter t varies.
Stiemer, "Rational maps with Fatou components of arbitrary connectivity number," Computational Methods and Function Theory, vol.
It is practically invariant with the shape factor, as could be expected: as we already indicated in (Charollais et al., 1997), the connectivity properties of the Boolean model are invariant by affine transformations, which changes the shapes and the sizes, but does not introduce any new connection (this property was used to estimate the 3D connectivity number of a Boolean model of ellipsoids).
Other estimates of the percolation threshold are available: the excluded volume (Balberg et al., 1984), and the zeros of the connectivity number (Bretheau and Jeulin, 1989; Mecke and Stoyan, 2005), being only valid for isotropic Boolean models.
'Pakistan is a great market with very decent
connectivity numbers. It's about providing customers with superior user experiences,' he said.
It was projected that the lack of legacy systems would lead to faster IPv6 deployment in the region, fueled by growing
connectivity numbers and mobile network expansion.