Angie mailed to Johan on [this paper](https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.220899) as below: ``` You may already know the paper _[Beyond preferential attachment: falling of stars and survival of superstars](https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.220899)_, but it's super interesting for durable dominance for the reasons below! 1. fig.5b "nodes that manage to ‘climb the ranking ladder’ and reach its top, are significantly more likely to fortify their ranks, despite the potential massive fluctuations in their absolute network degrees." 2. fig.5a. inverse-U ranking (`R`) evolution and its calculus interpretation: - negative derivative of `R` around N - positive derivative of `R` around top-ranked nodes 3. three empirical data (amazon ranking, blockchain trading ledger, social trading platform). Estimation-based analysis was only performed for the last dataset as amazon and blockchain's N, H are too large. ``` ![[Pasted image 20230228142359.png]]