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06/01/2023
On the entropy of rectifiable and stratified measures
We summarize some results of geometric measure theory concerning rectifi...
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03/02/2023
Categorical magnitude and entropy
Given any finite set equipped with a probability measure, one may comput...
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12/21/2022
Typicality for stratified measures
Stratified measures on Euclidean space are defined here as convex combin...
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07/09/2021
Information cohomology of classical vector-valued observables
We provide here a novel algebraic characterization of two information me...
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02/18/2021
Entropy under disintegrations
We consider the differential entropy of probability measures absolutely ...
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03/04/2020
A homological characterization of generalized multinomial coefficients related to the entropic chain rule
There is an asymptotic relationship between the multiplicative relations...
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07/13/2018