A renormalization method is developed for the Kubo-Greenwood formula, in or
der to analyze the electronic transport in large quasiperiodic lattices at
zero temperature, within a tight-binding model. The results show a scaling
invariance of the conduction spectrum around the transparent state, where a
periodic oscillating pattern is found. However, the dc conductivity averag
ed over the transmission window of the leads presents a significant reducti
on, when the system size becomes macroscopic. A detailed study of the bound
ary-condition effects on the ac conductivity reveals the robustness of the
transparent states, contrary to that observed in other high dc-conduction s
tates.