Spin Glass Models of Syntax and Language Evolution

Preprint English OPEN
Siva, Karthik; Tao, Jim; Marcolli, Matilde;
  • Subject: Computer Science - Computation and Language | 91F20, 82B20 | Physics - Physics and Society | Condensed Matter - Disordered Systems and Neural Networks
    arxiv: Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)

Using the SSWL database of syntactic parameters of world languages, and the MIT Media Lab data on language interactions, we construct a spin glass model of language evolution. We treat binary syntactic parameters as spin states, with languages as vertices of a graph, an... View more
  • References (24)
    24 references, page 1 of 3

    [1] M. Baker, The Atoms of Language, Basic Books, 2001.

    [2] N. Berger, C. Kenyon, E. Mossel, Y. Peres, Glauber dynamics on trees and hyperbolic graphs, Probab. Theory Related Fields 131 (2005) N. 3, 311{340.

    [3] M. Cassandro, P. Collet, A. Galves, C. Galves, A statistical-physics approach to language acquisition and language change, Physica A: Statistical Mechanics and its Applications, Vol.263 (1999) 427{437.

    [4] N. Chomsky, Lectures on Government and Binding, Dordrecht: Foris Publications, 1982.

    [5] N. Chomsky, H. Lasnik, The theory of Principles and Parameters, in \Syntax: An international handbook of contemporary research", pp.506{569, de Gruyter, 1993.

    [6] P. Cole, Inde niteness and Anaphoricity, Language, Vol. 50 (1974) N.4, Part 1, 665{674.

    [7] A. Cornilescu, A. Nicolae, On the Syntax of Romanian De nite Phrases: Changes in the Patterns of De niteness Checking, in \The Noun Phrase in Romance and Germanic", pp.193{221, John Benjamins, 2011.

    [8] P. Cu , J. Ding, O. Louidor, E. Lubetzky, Y. Peres, A. Sly, Glauber dynamics for the mean- eld Potts model, J. Stat. Phys. 149 (2012) 432{477.

    [9] J.A. Ellis-Monaghan, I. Mo att, The Tutte-Potts connection in the presence of an external magnetic eld, Adv. in Appl. Math. 47 (2011) no. 4, 772{782.

    [10] C. Galves (Ed.) Parameter Theory and Linguistic Change, Oxford University Press, 2012.

  • Related Research Results (1)
  • Related Organizations (1)
  • Metrics
Share - Bookmark