If we postcompose the embedding ɩ with a dilation by a factor of t, the algebraic growth Γ will obviously not change but the group will be generated by loops of length λ(tɩL) = tλ (ɩL), implying that Γ_T(#P_(g1)( tɩ, T ) ) → ∞ as t→ 0.
Source: wiktionary