Generalized immediate exchange models and their symmetries

Redig, Frank; Sau, F.

Generalized immediate exchange models and their symmetries

Journal article (2017)

Authors

Frank Redig Applied Probability -

F. Sau Applied Probability -

Research Group

Applied Probability () (TU Delft)

Symmetric inclusion process Self-duality Immediate exchange models Symmetries Thermalization

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Published Date

2017

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

Abstract

We reconsider the discrete dual of the immediate exchange model and define a more general class of models where mass is split, exchanged and merged. We relate the splitting process to the symmetric inclusion process via thermalization and from that obtain symmetries and self-duality for it and its generalization. We show that analogous properties hold for models where the splitting is related to the symmetric exclusion process or to independent random walkers.

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