Modeling trend progression through an extension of the Polya Urn Process

Marijn ten Thij; Sandjai Bhulai

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arXiv · 1511.01861

Modeling trend progression through an extension of the Polya Urn Process

Marijn ten Thij·Sandjai Bhulai

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Abstract

Knowing how and when trends are formed is a frequently visited research goal. In our work, we focus on the progression of trends through (social) networks. We use a random graph (RG) model to mimic the progression of a trend through the network. The context of the trend is not included in our model. We show that every state of the RG model maps to a state of the Polya process. We find that the limit of the component size distribution of the RG model shows power-law behaviour. These results are also supported by simulations.

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Marijn ten Thij, Sandjai Bhulai. 2015-11-05. Modeling trend progression through an extension of the Polya Urn Process. https://arxiv.org/abs/1511.01861

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