论文标题
在弱混乱局中随机环境中定向聚合物的积极和负矩
Positive and negative moments for directed polymers in random environment in weak disorder
论文作者
论文摘要
最近，Junk [11]表明，对于有限的随机环境中的指示聚合物，弱障碍（均匀的集成）阶段意味着聚合物Martingale在$ l^p $中限制了一些$ p> 1 $，而对于$ q <0 $，则在$ l^q $中限制了$ l^q $。在这里，我们确定了弱混乱阶段的特征，而无需在环境上的界定假设。
Very recently, Junk [11] showed that for directed polymers in bounded random environments, the weak disorder (uniform integrable) phase implies that the polymer martingale is bounded in $L^p$ for some $p>1$ and also in $L^q$ for some $q<0$. Here, we establish this characterization of the weak disorder phase without requiring the boundedness assumption on the environments.
