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Effects of limiting memory capacity on the behaviour of exemplar dynamics

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Abstract Exemplar models are a popular class of models used to describe language change. Here we study how limiting the memory capacity of an individual in these models affects the… Click to show full abstract

Abstract Exemplar models are a popular class of models used to describe language change. Here we study how limiting the memory capacity of an individual in these models affects the system's behaviour. In particular, we demonstrate the effect this change has on the extinction of categories. Previous work in exemplar dynamics has not addressed this question. In order to investigate this, we will inspect a simplified exemplar model. We will prove for the simplified model that all the sound categories but one will always become extinct, whether memory storage is limited or not. However, computer simulations show that changing the number of stored memories alters how fast categories become extinct.

Keywords: memory capacity; limiting memory; effects limiting; memory; exemplar dynamics

Journal Title: Journal of Applied Probability
Year Published: 2018

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