Limits RegistryPUBLIC RECORDLimits RegistryResearch Console →Universal Lempel–Ziv coding converges to entropy rate for stationary ergodic finite-alphabet sources.
The question, scope, and sources behind this Registry record.
Bound the asymptotic per-symbol length of universal incremental parsing for an unknown stationary ergodic source.
Current frontiers derived from accepted Claims.
Assertions tied to evidence, attribution, and review.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.
No accepted machine-checked reproductions are recorded for this Limit.
Limits Registry. LR-003218. Lempel–Ziv asymptotic compression limit. 2026.