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pro vyhledávání: '"John C. Baez"'
Autor:
John C. Baez
Publikováno v:
Entropy, Vol 24, Iss 5, p 706 (2022)
The Rényi entropy is a generalization of the usual concept of entropy which depends on a parameter q. In fact, Rényi entropy is closely related to free energy. Suppose we start with a system in thermal equilibrium and then suddenly divide the tempe
Externí odkaz:
https://doaj.org/article/705ab928376e4edebd6bccbc6ed87e84
Autor:
John C. Baez
Publikováno v:
Entropy, Vol 23, Iss 11, p 1436 (2021)
Suppose we have n different types of self-replicating entity, with the population Pi of the ith type changing at a rate equal to Pi times the fitness fi of that type. Suppose the fitness fi is any continuous function of all the populations P1,…,Pn.
Externí odkaz:
https://doaj.org/article/7f2826959cfe469e956c73ccfab82aa1
Autor:
John C. Baez
Publikováno v:
Advances in Mathematical Physics, Vol 2018 (2018)
Reaction networks are a general formalism for describing collections of classical entities interacting in a random way. While reaction networks are mainly studied by chemists, they are equivalent to Petri nets, which are used for similar purposes in
Externí odkaz:
https://doaj.org/article/c291ad744e5c47ce8cb6c638fa0a9340
Autor:
John C. Baez, Blake S. Pollard
Publikováno v:
Entropy, Vol 17, Iss 2, Pp 772-789 (2015)
There is a well-known analogy between statistical and quantum mechanics. In statistical mechanics, Boltzmann realized that the probability for a system in thermal equilibrium to occupy a given state is proportional to \(\exp(-E/kT)\), where \(E\) is
Externí odkaz:
https://doaj.org/article/6a5360504fcb4c3b9d8bf2ea9e180cf2
Autor:
John C Baez
Publikováno v:
Notices of the American Mathematical Society. 70:1
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
Publikováno v:
Journal of Computational Geometry, Vol 6, Iss 1 (2015)
In 1914 Lebesgue defined a 'universal covering' to be a convex subset of the plane that contains an isometric copy of any subset of diameter 1. His challenge of finding a universal covering with the least possible area has been addressed by various m
Externí odkaz:
https://doaj.org/article/c1396b92b50545f888708a2c6b22ddd1
Publikováno v:
LICS
We present a unified framework for Petri nets and various variants, such as pre-nets and Kock's whole-grain Petri nets. Our framework is based on a less well-studied notion that we call $\Sigma$-nets, which allow finer control over whether tokens are
Autor:
BAEZ, JOHN C.1 baez@math.ucr.edu, CRANS, ALISSA S.2 acrans@lmu.edu, SCHREIBER, U. R. S.3 urs.schreiber@googlemail.com, STEVENSON, DANNY4 daniel.stevenson@adelaide.edu.au
Publikováno v:
Homology, Homotopy & Applications. 2023, Vol. 25 Issue 2, p403-405. 3p.