The dynamic RR-index is the first dynamic self-index to attain δ-optimal space, with locate in expected O(m + log m log² n + occ (log n / log log n)) time and updates in O(m' log² n + log³ n) time.
Dynamic suffix array in optimal compressed space
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Dynamic Grammar-Compressed Self-Index in $\delta$-Optimal Space
The dynamic RR-index is the first dynamic self-index to attain δ-optimal space, with locate in expected O(m + log m log² n + occ (log n / log log n)) time and updates in O(m' log² n + log³ n) time.