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Phylogenetics of Indo-European Language Families via an Algebro-Geometric Analysis of Their Syntactic Structures

Shu, Kevin and Ortegaray, Andrew and Berwick, Robert C. and Marcolli, Matilde (2021) Phylogenetics of Indo-European Language Families via an Algebro-Geometric Analysis of Their Syntactic Structures. Mathematics in Computer Science . ISSN 1661-8270. doi:10.1007/s11786-021-00507-2. (In Press) https://resolver.caltech.edu/CaltechAUTHORS:20210415-115930614

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Abstract

Using Phylogenetic Algebraic Geometry, we analyze computationally the phylogenetic tree of subfamilies of the Indo-European language family, using data of syntactic structures. The two main sources of syntactic data are the SSWL database and Longobardi’s recent data of syntactic parameters. We compute phylogenetic invariants and estimates of the Euclidean distance functions for two sets of Germanic languages, a set of Romance languages, a set of Slavic languages and a set of early Indo-European languages, and we compare the results with what is known through historical linguistics.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/s11786-021-00507-2DOIArticle
https://arxiv.org/abs/1712.01719arXivDiscussion Paper
https://rdcu.be/ciYugPublisherFree ReadCube access
Additional Information:© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021. Received 30 April 2018; Revised 20 January 2019; Accepted 05 March 2021; Published 15 April 2021. The first and second author were partially supported by a Summer Undergraduate Research Fellowship at Caltech. The last author is partially supported by NSF Grant DMS-1707882, NSERC Discovery Grant RGPIN-2018-04937, Accelerator Supplement Grant RGPAS-2018-522593, and by the Perimeter Institute for Theoretical Physics. We are very grateful to the two anonymous referees for many very useful comments, corrections, and suggestions that greatly improved the paper.
Funders:
Funding AgencyGrant Number
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
NSFDMS-1707882
Natural Sciences and Engineering Research Council of Canada (NSERC)RGPIN-2018-04937
Natural Sciences and Engineering Research Council of Canada (NSERC)RGPAS-2018-522593
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Subject Keywords:Phylogenetic algebraic geometry; Syntactic parameters; Historical linguistics; Phylogenetic trees; Indo-European languages
Classification Code:Mathematics Subject Classification: 91F20; 92D15; 05C85; 60J10
DOI:10.1007/s11786-021-00507-2
Record Number:CaltechAUTHORS:20210415-115930614
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210415-115930614
Official Citation:Shu, K., Ortegaray, A., Berwick, R.C. et al. Phylogenetics of Indo-European Language Families via an Algebro-Geometric Analysis of Their Syntactic Structures. Math.Comput.Sci. (2021). https://doi.org/10.1007/s11786-021-00507-2
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108743
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Apr 2021 17:04
Last Modified:19 Apr 2021 17:04

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