Thinking Ultrametrically, Thinking p-Adically

Fionn Murtagh ()
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Fionn Murtagh: De Montfort University

A chapter in Clusters, Orders, and Trees: Methods and Applications, 2014, pp 249-272 from Springer

Abstract: Abstract We describe the use of ultrametric topology and closely associated p-adic number theory in a wide range of fields that all share strong elements of common mathematical and computational underpinnings. These include data analysis, including in the “big data” world of massive and high dimensional data sets; physics at very small scales; search and discovery in general information spaces; and in logic and reasoning.

Keywords: Data analytics; Multivariate data analysis; Pattern recognition; Information storage and retrieval; Clustering; Hierarchy; p-Adic; Ultrametric topology; Complexity (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4939-0742-7_16

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DOI: 10.1007/978-1-4939-0742-7_16

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