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吴文俊数学重点实验室概率统计系列报告之20【苏中根】

报告题目:Free Energy Fluctuations for a Mixture of Directed Polymers

报告人:苏中根 浙江大学

报告时间:6月7日8:50-9:50

地点:1518

摘要:In this talk we study the free energy fluctuations for a mixture of directed polymers, which was first introduced by Borodin et al. (2014) to investigate the limiting distribution of a stationary KPZ equation. The main results consist of both the law of large numbers and the asymptotic fluctuation for the free energy as the model size tends to infinity. In particular, we find the explicit values (may depend on model parameters) of normalizing constants in the fluctuation. This shows that such a mixture model is in the KPZ university class.

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