Generalized immediate exchange models and their symmetries

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:127

Article

Redig, Frank¹  Sau, Federico¹ 

[1] Delft Univ Technol, Delft Inst Appl Math, Mekelweg 4, NL-2628 CD Delft, Netherlands

关键词: Immediate exchange models;    Self-duality;    Thermalization;    Symmetric inclusion process;    Symmetries;   

DOI  :  10.1016/j.spa.2017.02.005

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free