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xuexing lu (Dec 20 2024 at 05:51):Hello , everyone.
I just finished a slides on copula function and copula entropy, which may give a new understanding of entropy. The slide can be download at my researchgate page
https://www.researchgate.net/publication/387227889_Copula_Operad_and_Copula_Entropy .
This work is motivated by theory of remormalization group and coarse-grainings.
It is well known that there are several categorical understand about entropy by many people, such as Baez, Leinster, ... Here I give a different perspective.
Of course, this is just the first step to this new approach.
If you have any suggestions or comments, please tell me.
Thanks.
Best wishes,
Xuexing Lu
Joe Moeller (Dec 22 2024 at 21:07):I wonder if this is related to Tai-Danae Bradley's work on entropy?
https://arxiv.org/abs/2107.09581
xuexing lu (Dec 23 2024 at 02:52):Joe Moeller5:07 AM
I wonder if this is related to Tai-Danae Bradley's work on entropy?
https://arxiv.org/abs/2107.09581
Yes, it should be very relevant. Bradley 's bolg is very helpful . But I don't know yet how to understand the relationship between them. There are still many things that are unclear now.