Abstract
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.
| Original language | English |
|---|---|
| Article number | 1650016 |
| Journal | Random Matrices: Theory and Application |
| Volume | 5 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Oct 2016 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2016 World Scientific Publishing Company.
Keywords
- Airy line ensemble
- modified moment method
- random partitions