Thinking ultrametrically, thinking p-adically

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish
Title of host publicationClusters, Orders, and Trees
Subtitle of host publicationMethods and Applications: In Honor of Boris Mirkin's 70th Birthday
EditorsFuad Aleskerov, Boris Goldengorin, Panos M. Pardalos
PublisherSpringer New York
Pages249-272
Number of pages24
ISBN (Electronic)9781493907427
ISBN (Print)9781493907410
DOIs
Publication statusPublished - 3 May 2014
Externally publishedYes

Publication series

NameSpringer Optimization and Its Applications
Volume92
ISSN (Print)1931-6828
ISSN (Electronic)1931-6836

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Murtagh, F. (2014). Thinking ultrametrically, thinking p-adically. In F. Aleskerov, B. Goldengorin, & P. M. Pardalos (Eds.), Clusters, Orders, and Trees: Methods and Applications: In Honor of Boris Mirkin's 70th Birthday (pp. 249-272). (Springer Optimization and Its Applications; Vol. 92). Springer New York. https://doi.org/10.1007/978-1-4939-0742-7_16