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Dyson-Schwinger equations in the theory of computation

Delaney, Colleen and Marcolli, Matilde (2015) Dyson-Schwinger equations in the theory of computation. In: Feynman Amplitudes, Periods and Motives. Contemporary Mathematics. No.648. American Mathematical Society , Providence, RI, pp. 79-107. ISBN 978-1-4704-2247-9. https://resolver.caltech.edu/CaltechAUTHORS:20151130-084148729

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Abstract

Following Manin's approach to renormalization in the theory of computation, we investigate Dyson-Schwinger equations on Hopf algebras, operads and properads of flow charts, as a way of encoding self-similarity structures in the theory of algorithms computing primitive and partial recursive functions and in the halting problem.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1302.5040arXivDiscussion Paper
Additional Information:© 2015 American Mathematical Society. The first author was supported for this project by the Summer Undergraduate Research Fellowship (SURF) program of Caltech, through a Herbert J. Ryser fellowship. The second author is partially supported by NSF grants DMS-0901221, DMS-1007207, DMS-1201512, and PHY-1205440. The second author acknowledges MSRI for hospitality and support. The authors are especially grateful to Joachim Kock for many helpful comments and suggestions that significantly improved the paper.
Funders:
Funding AgencyGrant Number
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
NSFDMS-0901221
NSFDMS-1007207
NSFDMS-1201512
NSFPHY-1205440
Series Name:Contemporary Mathematics
Issue or Number:648
Record Number:CaltechAUTHORS:20151130-084148729
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151130-084148729
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62441
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Nov 2015 17:38
Last Modified:03 Oct 2019 09:19

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