 This is a finite union of circles so has finite area.That area is bounded above by a constant times the contribution to the Poincaré sum of elements of word length "n", so decreases to 0.Schottky space (of some genus "g" ≥ 2) is the space of marked Schottky groups of genus "g", in other words the space of sets of "g" elements of PSL2(C) that generate a Schottky group, up to equivalence under Möbius transformations .