Endpoint Distribution of Directed Polymers in 1+1 Dimensions

被引：39
|
作者：
Flores, Gregorio Moreno [1 ]
Quastel, Jeremy [2 ]
Remenik, Daniel [2 ,3 ]
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[3] Univ Chile, Dept Ingn Matemat, Santiago, Chile
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 317卷 / 02期
关键词：
HEIGHT; GROWTH;
D O I：
10.1007/s00220-012-1583-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give an explicit formula for the joint density of the max and argmax of the Airy(2) process minus a parabola. The argmax has a universal distribution which governs the rescaled endpoint for large time or temperature of directed polymers in 1 + 1 dimensions.
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页码：363 / 380
页数：18
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