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Generic subadditive functions

Bingham, N. H. and Ostaszewski, Adam (2007) Generic subadditive functions. LSE-CDAM-2007-17. London school of economics and political science, London, UK.

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Abstract

We prove a generalization of the Subadditive Limit Theorem and of the corresponding Berz Theorem in a class of functions that includes both the measurable functions and the Baire functions (those with the Baire property). The generic subadditive functions are defined by a combinatorial property previously introduced for the study of the foundations of regular variation in LSE-CDAM-2006-22. By specialization we thus provide the previously unknown Baire variants of the fundamental theorems of subbaditive functions, answering an old question ([BGT], 2.12.4 p. 123).

Item Type: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk/Reports/
Additional Information: © 2007 London school of economics and political science
Library of Congress subject classification: H Social Sciences > H Social Sciences (General)
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: LSE-CDAM-2007-17
Date Deposited: 10 Jul 2008 09:01
URL: http://eprints.lse.ac.uk/6824/

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