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  Sequential and continuous time stick-breaking

Arndt, P. F. (2019). Sequential and continuous time stick-breaking. Journal of Statistical Mechanics: Theory and Experiment, 2019: 064003. doi:10.1088/1742-5468/ab1dd8.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0004-CFDA-E Version Permalink: http://hdl.handle.net/21.11116/0000-0004-CFDB-D
Genre: Journal Article

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Arndt_2019.pdf (Publisher version), 553KB
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© 2019 IOP Publishing Ltd and SISSA Medialab srl
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 Creators:
Arndt, Peter F.1, Author              
Affiliations:
1Evolutionary Genomics (Peter Arndt), Dept. of Computational Molecular Biology (Head: Martin Vingron), Max Planck Institute for Molecular Genetics, Max Planck Society, ou_1479638              

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Free keywords: dynamical processes, evolutionary processes, fracture, bioinformatics
 Abstract: The repeated breaking of a linear object, for example a stick, is a fundamental process which underlies numerous natural phenomena. Here we compare two distinct ensembles of stick-breaking: (i) a stick is broken with a certain rate over time; and (ii) a stick is broken a finite number of times. Both ensembles are deduced from appropriate integral equations and related to each other. The analyses performed here and the comparison of the two ensembles enables us to better understand the stick-breaking process by itself.

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Language(s): eng - English
 Dates: 2019-04-222019-06-18
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1088/1742-5468/ab1dd8
 Degree: -

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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Publishing
Pages: - Volume / Issue: 2019 Sequence Number: 064003 Start / End Page: - Identifier: ISSN: 1742-5468
CoNE: https://pure.mpg.de/cone/journals/resource/111076098244006