Did Zipf's Law hold for Chinese cities and why? Evidence from multi-source data
Sign Up to like & getrecommendations! Published in 2021 at "Land Use Policy"
DOI: 10.1016/j.landusepol.2021.105460
Abstract: Abstract The New Form of Urbanization was proposed in 2012, emphasizing the development of small and medium-sized cities and towns. Analyzing the city-size distribution is significant in various studies, such as urban sustainable development, urban… read more here.
Keywords: multi source; zipf law; source data;
Beyond Zipf's law: Pore ranking in solids by Beta distributions
Sign Up to like & getrecommendations! Published in 2021 at "Microporous and Mesoporous Materials"
DOI: 10.1016/j.micromeso.2021.110987
Abstract: Abstract Zipfian laws of the form Frequency = f (Size) have been applied in the past for ranking collections of random pores in solids. Nevertheless, the results convey little information about the development of the compared quantities.… read more here.
Keywords: beyond zipf; zipf law; ranking solids; beta ... See more keywords
Zipf's law applications in patent landscape analysis
Sign Up to like & getrecommendations! Published in 2021 at "World Patent Information"
DOI: 10.1016/j.wpi.2020.102012
Abstract: Abstract New business insights are shown to be extractable from patent landscapes by the mathematical method of discrete Pareto analysis. By applying to patent publication distributions, a method analogous to that proposed by the linguist… read more here.
Keywords: zipf law; analysis; patent landscape; patent ... See more keywords
Zipf’s law for atlas models
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2020.64
Abstract: Abstract A set of data with positive values follows a Pareto distribution if the log–log plot of value versus rank is approximately a straight line. A Pareto distribution satisfies Zipf’s law if the log–log plot… read more here.
Keywords: law; zipf law; atlas models; log ... See more keywords
Compression principle and Zipf’s Law of brevity in infochemical communication
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DOI: 10.1098/rsbl.2022.0162
Abstract: Compression has been presented as a general principle of animal communication. Zipf’s Law of brevity is a manifestation of this postulate and can be generalized as the tendency of more frequent communicative elements to be… read more here.
Keywords: law brevity; principle; zipf law; communication ... See more keywords
A Refutation of Finite-State Language Models through Zipf’s Law for Factual Knowledge
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DOI: 10.3390/e23091148
Abstract: We present a hypothetical argument against finite-state processes in statistical language modeling that is based on semantics rather than syntax. In this theoretical model, we suppose that the semantic properties of texts in a natural… read more here.
Keywords: state; zipf law; factual knowledge; finite state ... See more keywords