Worried about the dominance of big instances? No, really, this is quite natural.

As an emergent and self-governing system, it could be expected that the size distribution of instances roughly follows Zipf's law.

Does it?

At first you see the top 6 instances, and then the rest. But on a log-log scale the size distribution is close to a straight line, which would be expected from an emergent system.

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The deviations are perhaps due to the still young age of the fediverse. Expect it to smooth out. But still, expect that the big instances will always dominate.

Data: 200 biggest instances from instances.social.

en.wikipedia.org/wiki/Zipf's_l

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Oh, one bonus toot. Based on the top 200 instances, the s factor of Zipf's law on the fediverse is approximately 1.3. If all the instances were taken into account, the factor could change. But I didn't find a quick way to grab the table other than manually, so I only used the top 200 instances.

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@mayel Thank you! Now if I only knew an easy way to extract just the user counts from that... :D

@mayel more like this:

cat list.json | tr ',' '\n' | grep users | tr -d '"users":' | sort -nr > usercount.txt

Seems to do what I want.

@mayel Ok, now that I got the data for 1746 instances, I can say that the s factor is about 1.33777, so pretty close to the original approximation of 1.3.

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