O 'Connell-Yor聚合物的尾部边界
Tail bounds for the O'Connell-Yor polymer
摘要：
我们推导出上，下的正确的数量级通过概率和几何技术在适度的偏差制度的O 'Connell-Yor聚合物的上，下尾部的上限和下界。我们的工作的输入是一个身份的两个参数模型的降雨和Emrah-Janjigian-Seppäläinen的生成函数，和几何技术的Ganguly-Hegde和Basu-Ganguly-Hammond-Hegde。作为中间结果，我们得到强尾估计的横向波动的聚合物路径从对角线。
英文摘要：
We derive upper and lower bounds for the upper and lower tails of the O'Connell-Yor polymer of the correct order of magnitude via probabilistic and geometric techniques in the moderate deviations regime. The inputs of our work are an identity for the generating function of a two-parameter model of Rains and Emrah-Janjigian-Seppäläinen, and the geometric techniques of Ganguly-Hegde and Basu-Ganguly-Hammond-Hegde. As an intermediate result we obtain strong tail estimates for the transversal fluctuation of the polymer path from the diagonal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
