An Application of an Analogue of the Partition Function to the Evolution of Diglossia

John Wyburn; John Hayward

doi:10.1016/j.physa.2018.10.047

An Application of an Analogue of the Partition Function to the Evolution of Diglossia

John Wyburn, John Hayward

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

105 Wedi eu Llwytho i Lawr (Pure)

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Recent trends in the numbers of minority language speakers have given cause for concern as to the effectiveness of traditional language-acquisition and survival strategies. This paper addresses the establishment of a recognized survival scenario, that of diglossia, the allocation of different languages to complementary social domains. The method is the novel application of an analogue of the partition function of statistical mechanics, embodied in a cellular automaton, to a population of subsets of social domains in which either of two languages may be spoken. The case of modern Wales is discussed in detail. Conclusions are drawn regarding the role of diglossia in the preservation of endangered languages.

Iaith wreiddiol	Saesneg
Rhif yr erthygl	PHYSA-181577
Tudalennau (o-i)	447-463
Cyfnodolyn	Physica A: Statistical Mechanics and its Applications
Cyfrol	516
Dyddiad ar-lein cynnar	30 Hyd 2018
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.physa.2018.10.047
Statws	Cyhoeddwyd - 15 Chwef 2019

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10.1016/j.physa.2018.10.047

The Partition Function and the Evolution of Diglossia Amended 12102018Llawysgrif awdur wedi’i dderbyn, 730 KBTrwydded: CC BY-NC-ND
Figure 1 RevisedLlawysgrif awdur wedi’i dderbyn, 1.61 MBTrwydded: CC BY-NC-ND
Figure 2 RevisedLlawysgrif awdur wedi’i dderbyn, 934 KBTrwydded: CC BY-NC-ND
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Figure 5 revisedLlawysgrif awdur wedi’i dderbyn, 7.5 MBTrwydded: CC BY-NC-ND
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Figure 7 RevisedLlawysgrif awdur wedi’i dderbyn, 6.44 MBTrwydded: CC BY-NC-ND
Figure 8 RevisedLlawysgrif awdur wedi’i dderbyn, 42.3 KBTrwydded: CC BY-NC-ND

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title = "An Application of an Analogue of the Partition Function to the Evolution of Diglossia",

abstract = "Recent trends in the numbers of minority language speakers have given cause for concern as to the effectiveness of traditional language-acquisition and survival strategies. This paper addresses the establishment of a recognized survival scenario, that of diglossia, the allocation of different languages to complementary social domains. The method is the novel application of an analogue of the partition function of statistical mechanics, embodied in a cellular automaton, to a population of subsets of social domains in which either of two languages may be spoken. The case of modern Wales is discussed in detail. Conclusions are drawn regarding the role of diglossia in the preservation of endangered languages.",

keywords = "Language shift, bilingualism, language dynamics, partition function, cellular automaton, language group dynamics, quantitative linguistics",

author = "John Wyburn and John Hayward",

year = "2019",

month = feb,

day = "15",

doi = "10.1016/j.physa.2018.10.047",

language = "English",

volume = "516",

pages = "447--463",

journal = "Physica A: Statistical Mechanics and its Applications",

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T1 - An Application of an Analogue of the Partition Function to the Evolution of Diglossia

AU - Wyburn, John

AU - Hayward, John

PY - 2019/2/15

Y1 - 2019/2/15

N2 - Recent trends in the numbers of minority language speakers have given cause for concern as to the effectiveness of traditional language-acquisition and survival strategies. This paper addresses the establishment of a recognized survival scenario, that of diglossia, the allocation of different languages to complementary social domains. The method is the novel application of an analogue of the partition function of statistical mechanics, embodied in a cellular automaton, to a population of subsets of social domains in which either of two languages may be spoken. The case of modern Wales is discussed in detail. Conclusions are drawn regarding the role of diglossia in the preservation of endangered languages.

AB - Recent trends in the numbers of minority language speakers have given cause for concern as to the effectiveness of traditional language-acquisition and survival strategies. This paper addresses the establishment of a recognized survival scenario, that of diglossia, the allocation of different languages to complementary social domains. The method is the novel application of an analogue of the partition function of statistical mechanics, embodied in a cellular automaton, to a population of subsets of social domains in which either of two languages may be spoken. The case of modern Wales is discussed in detail. Conclusions are drawn regarding the role of diglossia in the preservation of endangered languages.

KW - Language shift

KW - bilingualism

KW - language dynamics

KW - partition function

KW - cellular automaton

KW - language group dynamics

KW - quantitative linguistics

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - PHYSA-181577

ER -

An Application of an Analogue of the Partition Function to the Evolution of Diglossia

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