A Central Limit Theorem for the Modified Massive Arratia Flow
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Title: |
A Central Limit Theorem for the Modified Massive Arratia Flow |
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Speaker: |
Prof. Dr. Max von Renesse, University of Leipzig, Germany |
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Time & Venue: |
2023.9.12 15:00 S620 |
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Abstract: |
The Modified Massive Arratia Flow is a model of infinitely many sticky Brownian particles where the diffusion scaled proportionally to the aggregate mass of the particles. The model was introduced by Konarvovskyi and later studied by Konarovskyi and Renesse who showed that the diffusive behaviour of the model is governed locally by the quadratic Wasserstein distance. In this talk we present a central limit theorem for the occupation measure of the process in the case of countably many starting points. A central ingredient of the proof is quantitative decorrelation estimates in terms of the alpha-mixing coefficient for which we present explicit non-standard coupling constructions. Joint work with Vitalii Konaroskyi and Andrey Dorogovtsev |
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