By assuming only stability (change δ ≪ Δ) of estimation and frequency errors rather than worst-case bounds, gradient clock synchronization achieves local skew O(Δ + δ log D) for diameter D, breaking the Ω(Δ log D) lower bound.
PALS: distributed gradient clocking on chip.IEEE Trans
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Gradient Clock Synchronization with Practically Constant Local Skew
By assuming only stability (change δ ≪ Δ) of estimation and frequency errors rather than worst-case bounds, gradient clock synchronization achieves local skew O(Δ + δ log D) for diameter D, breaking the Ω(Δ log D) lower bound.