Voter Model with Time dependent Flip-rates

We introduce time variation in the flip-rates of the Voter Model. This type of generalisation is relevant to models of ageing in language change, allowing the representation of changes in speakers' learning rates over their lifetime and may be applied to any other similar model in which interaction rates at the microscopic level change with time. The mean time taken to reach consensus varies in a nontrivial way with the rate of change of the flip-rates, varying between bounds given by the mean consensus times for static homogeneous (the original Voter Model) and static heterogeneous flip-rates. By considering the mean time between interactions for each agent, we derive excellent estimates of the mean consensus times and exit probabilities for any time scale of flip-rate variation. The scaling of consensus times with population size on complex networks is correctly predicted, and is as would be expected for the ordinary voter model. Heterogeneity in the initial distribution of opinions has a strong effect, considerably reducing the mean time to consensus, while increasing the probability of survival of the opinion which initially occupies the most slowly changing agents. The mean times to reach consensus for different states are very different. An opinion originally held by the fastest changing agents has a smaller chance to succeed, and takes much longer to do so than an evenly distributed opinion.Comment: 16 pages, 6 figure

Phonetic variation and change in the Cockney Diaspora: The role of place, gender, and identity

Recent research has suggested that two linguistic processes are displacing Cockney: the emergence of Multicultural London English (MLE) in inner London and dialect levelling (e.g. Kerswill & Williams 2005). This study investigates firstly whether Cockney phonetic features have ‘moved East’ to Essex (Fox 2015), and secondly the features’ indexicality in relation to place and identity. Fifty-four participants from Debden, an outpost of the Cockney Diaspora, completed a sociolinguistic interview. Vowel measurements were made from a wordlist and passage, and quantitative attitudinal and qualitative data were extracted from a questionnaire and interviews. Overall, changes in identity as a result of social change exceeded linguistic changes, and linguistic labels were not interpreted uniformly across the community. Whilst Cockney variants were largely maintained in young speakers, they were transposed onto an ‘Essex’ accent. Furthermore, some young women but no young men considered themselves Cockney, likely due to the matrifocal nature of Cockney. (Cockney, phonetic variation and change, dialect levelling, identity, indexicality, gende

Legitimating inaction : differing identity constructions of the Scots language.

The Scots language plays a key role in the political and cultural landscape of contemporary Scotland. From a discourse-historical perspective, this article explores how language ideologies about the Scots language are realized linguistically in a so-called ‘languages strategy’ drafted by the Scottish Executive, and in focus groups consisting of Scottish people. This article shows that although the decline of Scots is said to be a ‘tragedy’, focus group participants seem to reject the notion of Scots as a viable, contemporary language that can be used across a wide range of registers. The policy document also seems to construct Scots in very positive terms, but is shown to be unhelpful or potentially even damaging in the process of changing public attitudes to Scots

Migrant care workers at the intersection of rural belonging in small English communities

Shortage of staff in the private care sector brought migrant participants of this study to rural communities in northwest England. The care workers, fourteen highly skilled first-generation migrants, described experiences of feeling unsettled, despite residing in these communities for an average of nine years. Social divisions, such as their race, ethnicity, and gender, intersected in rural England to create an overwhelming, at times, feeling of being othered. We use intersectionality as a framework to examine the advantageous and disadvantageous positionings of migrant workers, alongside their strategies of resistance and adaptation, filling in the gaps that acculturation theory glosses over

'Language has a heart': linguistic markers of evaluation in selected TRC testimonies

This paper explores how two testifiers at the Human Rights Violation hearings of South Africa's Truth and Reconciliation Commission in 1996 used selected markers of evaluation (shifts in tense, the inclusion of direct speech and code-switching) to express evaluative meanings and position themselves, the police and their audiences in relation to their narratives. Both testifiers are mothers of young activists who were pursued, detained and tortured by police in the 1980s. The paper argues that it is through the subtle though significant linguistic choices the women make that their perspective is construed and their 'narrative truth' realized

Utterance Selection Model of Language Change

We present a mathematical formulation of a theory of language change. The theory is evolutionary in nature and has close analogies with theories of population genetics. The mathematical structure we construct similarly has correspondences with the Fisher-Wright model of population genetics, but there are significant differences. The continuous time formulation of the model is expressed in terms of a Fokker-Planck equation. This equation is exactly soluble in the case of a single speaker and can be investigated analytically in the case of multiple speakers who communicate equally with all other speakers and give their utterances equal weight. Whilst the stationary properties of this system have much in common with the single-speaker case, time-dependent properties are richer. In the particular case where linguistic forms can become extinct, we find that the presence of many speakers causes a two-stage relaxation, the first being a common marginal distribution that persists for a long time as a consequence of ultimate extinction being due to rare fluctuations.Comment: 21 pages, 17 figure

The construction of identities in narratives about serious leisure occupations

Engagement in occupation contributes to the shaping of identity throughout the human life. The act of telling about such engagement involves interaction based on symbolic meaning; the speaker constructing an identity by conveying how the occupation is personally meaningful. This study explored meaning in narratives told by people who engage in serious leisure occupations. A total of 78 narratives were extracted from interviews with 17 people who invest considerable time and other resources into their leisure. Analysis focused on the content, structure and performance of each narrative in order to explore meaning. The meanings were organised into a framework based around three dimensions: the located self, the active self and the changing self. Each dimension has facets that the individual might emphasise, constructing a unique identity. The framework offers a structured basis for conceptualising how occupation contributes to the shaping of the internalised self and the socially situated identity

Investigating ion-surface collisions with a niobium superconducting tunnel junction detector in a time-of-flight mass spectrometer

The performance of an energy sensitive, niobium superconducting tunnel junction detector is investigated by measuring the pulse height produced by impacting molecular and atomic ions at different kinetic energies. Ions are produced by laser resorption and matrix-assisted laser desorption in a time-of-flight mass spectrometer. Results show that the STJ detector pulse height decreases for increasing molecular ion mass, passes through a minimum at around 2000 Da, and the increases with increasing mass of molecular ions above 2000Da. The detector does not show a decline in sensitivity for high mass ions as is observed with microchannel plate ion detectors. These detector plus height measurements are discussed in terms of several physical mechanisms involved in an ion-surface collision