Integrable probability: From representation theory to Macdonald processes

被引：72
作者：
Borodin, Alexei [1 ,2 ]
Petrov, Leonid [2 ,3 ]
机构：
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
[2] Inst Informat Transmiss Problems, Moscow 127994, Russia
[3] Northeastern Univ, Dept Math, Boston, MA 02115 USA
来源：
PROBABILITY SURVEYS | 2014年 / 11卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1214/13-PS225
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
These are lecture notes for a mini-course given at the Cornell Probability Summer School in July 2013. Topics include lozenge tilings of polygons and their representation theoretic interpretation, the (q,t)-deformation of those leading to the Macdonald processes, nearest neighbor dynamics on Macdonald processes, their limit to semi-discrete Brownian polymers, and large time asymptotic analysis of polymer's partition function.
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页码：1 / 58
页数：58
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