Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Tom Leinster"'
Publikováno v:
Entropy, Vol 13, Iss 11, Pp 1945-1957 (2011)
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 very simple characterization. Instead of focusing on the entropy of a p
Externí odkaz:
https://doaj.org/article/4537eddd4faf495082eb23c93c15c38e
Autor:
Tom Leinster, Mark W. Meckes
Publikováno v:
Entropy, Vol 18, Iss 3, p 88 (2016)
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 diversity, indexed by a real parameter q giving greater or lesser imp
Externí odkaz:
https://doaj.org/article/bfb77e6ef5644071b0a44941c9e9006e
Autor:
Tom Leinster
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and the
Autor:
Tom Leinster, Emily Roff
Publikováno v:
Leinster, T & Roff, E 2021, ' The maximum entropy of a metric space ', The Quarterly Journal of Mathematics, vol. 72, no. 4, pp. 1271-1309 . https://doi.org/10.1093/qmath/haab003
We define a one-parameter family of entropies, each assigning a real number to any probability measure on a compact metric space (or, more generally, a compact Hausdorff space with a notion of similarity between points). These entropies generalise th
Autor:
Tom Leinster
Publikováno v:
Entropy and Diversity. :409-411
Autor:
Tom Leinster
Publikováno v:
Leinster, T 2021, ' Entropy modulo a prime ', Communications in Number Theory and Physics, vol. 15, no. 2, pp. 279 – 314 . https://doi.org/10.4310/CNTP.2021.v15.n2.a2
Building on work of Kontsevich, we introduce a definition of the entropy of a finite probability distribution in which the "probabilities" are integers modulo a prime p. The entropy, too, is an integer mod p. Entropy mod p is shown to be uniquely cha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8365e3d9b181048858ec2fb8aa4a5006
https://hdl.handle.net/20.500.11820/a7fee06a-7c6a-4107-a94f-9d1f31c7128d
https://hdl.handle.net/20.500.11820/a7fee06a-7c6a-4107-a94f-9d1f31c7128d
Autor:
Tom Leinster
The global biodiversity crisis is one of humanity's most urgent problems, but even quantifying biological diversity is a difficult mathematical and conceptual challenge. This book brings new mathematical rigour to the ongoing debate. It was born of r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::140fadc46c889f9b7fb9518d867e9b20
https://doi.org/10.1017/9781108963558
https://doi.org/10.1017/9781108963558
Autor:
Tom Leinster
We identify simple universal properties that uniquely characterize the Lebesgue $L^p$ spaces. There are two main theorems. The first states that the Banach space $L^p[0, 1]$, equipped with a small amount of extra structure, is initial as such. The se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::756c0a9777424315c7372853bb80c97e
http://arxiv.org/abs/2011.00412
http://arxiv.org/abs/2011.00412