Intermediate disorder limits for multi-layer semi-discrete directed polymers
Intermediate disorder limits for multi-layer semi-discrete directed polymers
复制标题
多层半离散定向聚合物的中间无序极限
DOI：
10.1214/21-ejp614
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
M. Nica
中科院分区：
文献类型：
--
作者：
M. Nica
我们表明，多层半离散定向聚合物的配分函数收敛于中间无序制度的多层连续聚合物的配分函数由O 'Connell和Warren介绍。这验证了模一个以前隐藏的常数，一个杰出的猜想提出的Corwin和哈蒙德。一个后果是识别的KPZ线系综连续层的配分函数的比值的矩阵。其他性质的连续分区函数，如连续性，严格的正性和轮廓积分公式计算混合时刻，也确定从这个收敛结果。证明使用耦合，这是第一次推出的Quastel，莫雷诺弗洛雷斯，和Remenik，和一个扩展的方法来证明类似的结果，纯粹的离散聚合物。
We show that the partition function of the multi-layer semi-discrete directed polymer converges in the intermediate disorder regime to the partition function for the multi-layer continuum polymer introduced by O'Connell and Warren. This verifies, modulo a previously hidden constant, an outstanding conjecture proposed by Corwin and Hammond. A consequence is the identification of the KPZ line ensemble as logarithms of ratios of consecutive layers of the continuum partition function. Other properties of the continuum partition function, such as continuity, strict positivity and contour integral formulas to compute mixed moments, are also identified from this convergence result. The proof uses a coupling, which was first introduced by Quastel, Moreno Flores, and Remenik, and an extension of the methods used to prove similar results for purely discrete polymers.
影响因子：
2.6
作者：
F. Caravenna;Rongfeng Sun;Nikos Zygouras
通讯作者：
F. Caravenna;Rongfeng Sun;Nikos Zygouras
影响因子：
2
作者：
Ivan Corwin;A. Hammond
通讯作者：
Ivan Corwin;A. Hammond
有序随机游走的条件极限定理
DOI：
10.48550/arxiv.0907.2854
发表时间：
2009
期刊：
--
影响因子：
--
作者：
Denisov D
通讯作者：
Denisov D