Periodic forest local limits and prefix weights

Canonical forest masses, tails and exact-prefix weights, together with periodic local and tail limits, tree-tail asymptotics, the exact-prefix limit and generic mass-one convergence tools. The periodic lattice factor is retained in local limits and cancels in tail sums and exact-prefix weights.

References

• J.-F. Le Gall, Random trees and applications, Probab. Surveys 2 (2005), Section 1.
• N. H. Bingham, C. M. Goldie and J. L. Teugels, Regular Variation, Cambridge University Press, 1987, Section 1.5 (Karamata's theorem).
• V. V. Petrov, Sums of Independent Random Variables, Springer, 1975, Chapter VII (local limit theorems).