123 citations · 583 across the 42 of their papers we have counts for
4 papers · 1 filter
A short characterization of relative entropy
Tom Leinster
We prove characterization theorems for relative entropy (also known as Kullback-Leibler divergence), q-logarithmic entropy (also known as Tsallis entropy), and q-logarithmic relati…
Maximizing diversity in biology and beyond
Tom Leinster, Mark W. Meckes
Entropy, under a variety of names, has long been used as a measure of diversity in ecology, as well as in genetics, economics and other fields. There is a spectrum of viewpoints on…
A Characterization of Entropy in Terms of Information Loss
John C. Baez, Tobias Fritz, Tom Leinster
There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a v…
A maximum entropy theorem with applications to the measurement of biodiversity
Tom Leinster
This is a preliminary article stating and proving a new maximum entropy theorem. The entropies that we consider can be used as measures of biodiversity. In that context, the questi…