Approximating LZ77 in Small Space

Given a positive $ε\leq 1$ and read-only access to a string $S [1..n]$ whose LZ77 parse consists of $z$ phrases, with high probability we can build an LZ77-like parse of $S$ that consists of $\Oh{z / ε}$ phrases using $\Oh{n^{1 + ε}}$ time, $\Oh{n^{1 + ε} / B}$ I/Os (where $B$ is the size of a disk block) and $\Oh{z / ε}$ space.

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