SAMT: Analysis of Amortized Insertion, Update, Delete, Point Query, and Range Query

We analyze the performance of the SAMT using the DAM (1) model, the standard model for analyzing disk-bound data structures. The DAM model as- sumes an internal and external memory. The in- ternal memory of size M is divided into blocks of size B and the external memory is arbitrarily large. The cost in this model is the number of block trans- fers between internal and external memory. The amortized cost of an insertion, update, or delete is