A limit theorem for stochastically decaying partitions at the edge

作者：Jeong In Jee^*; Sodin Sasha

来源：Random Matrices-Theory and Applications, 2016, 5(4): 1650016.

DOI：10.1142/S2010326316500167

• Airy line ensemble
• random partitions
• modified moment method

We provide a combinational proof of the fact that the sequence of rows of certain stochastically decaying partitions, after appropriate scaling in time and length, converges to the Airy line ensemble. Our argument is based on a modification of the moment method, and it highlights the similarity between random partitions and random matrices.

• 出版日期2016-10