Stationary directed polymers and energy solutions of the Burgers equation
Stationary directed polymers and energy solutions of the Burgers equation
复制标题
稳态定向聚合物和伯格斯方程的能量解
DOI：
10.1016/j.spa.2020.04.012
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发表时间：
2019
影响因子：
1.4
通讯作者：
Gregorio R. Moreno Flores
中科院分区：
文献类型：
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作者：
M. Jara;Gregorio R. Moreno Flores
我们考虑中间无序状态下布朗环境中半离散定向聚合物的稳态 O’Connell-Yor 模型，并显示对数配分函数增量与随机 Burgers 方程能量解的收敛性。证明不依赖于 Cole-Hopf 变换，并避免使用离散模型的谱间隙估计。关键的技术论证是二阶玻尔兹曼-吉布斯原理。
We consider the stationary O’Connell–Yor model of semi-discrete directed polymers in a Brownian environment in the intermediate disorder regime and show convergence of the increments of the log-partition function to the energy solutions of the stochastic Burgers equation.The proof does not rely on the Cole–Hopf transform and avoids the use of spectral gap estimates for the discrete model. The key technical argument is a second-order Boltzmann–Gibbs principle.
DOI：
10.1214/18-aop1317
发表时间：
2018-02
期刊：
The Annals of Probability
影响因子：
--
作者：
Martin Hairer;Weijun Xu
通讯作者：
Martin Hairer;Weijun Xu