merkle tree – Can UTXOs lifespan be predicted?

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I’ve initially out the Q right here
https://mathoverflow.web/questions/395108/can-the-same-dataset-be-described-as-chaotic-pareto-power-law-distribution
As a result of I consider probably the most particular opinion ought to be answered then analyzing its deserves from the Bitcoin neighborhood, ie mathematicians should be consulted too.
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And I did introduced up in Bitcoin communities earlier than.
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From Bitcoin view, I consider options like analyzing & categorizing UTXOs into 2-3 teams placing every in a unique Merkle Tree (or construction on the whole)
-or select a tree construction that may deal with totally different ranges of lifespan clusters on the identical time
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-When discussing this within the Bitcoin neighborhood, the impact of burned UTXOs ought to be additionally thought of. This paper notifies about the truth that burned UTXOs will keep within the Merkle Tree or no matter used information construction without end
https://youtu.be/Q5L8-GJVmZw

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Ps
I hate the actual fact the Qs could possibly be edited on this group as an alternative of say including an admin remark to the Q, so pls do not use this permutation to maneuver the unique Q from Mathoverflow



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