We introduce a notion of shadowing property for actions of finitely generated groups and study its basic properties. We formulate and prove a shadowing lemma for actions of nilpotent groups. We construct an example of a faithful linear action of a solvable Baumslag-Solitar group and show that the shadowing property depends on quantitative characteristics of hyperbolicity. Finally we show that a...

Inspired by a recent novel work of Good and Meddaugh, we establish fundamental connections between shadowing, finite order shifts, ultrametric complete spaces. We develop theory shifts type for infinite alphabets. call them order. the basic shadowing property in general metric spaces, exhibiting similarities differences with compact connect these two theories setting zero-dimensional showing th...

Simulations show that signal attenuation factors like fading and shadowing improve the efficiency and speed of route discovery processes in ad hoc wireless networks that rely on the use of slotted ALOHA channel. On the other hand, the capture probability has been shown to be independent of the shadowing. While the detailed modeling of the route discovery packet dissemination in a network is rat...