A universality property of the one-sided ballistic deposition model near the time axis

YMSC Probability Seminar

Organizers：

吴昊，杨帆，姜建平，顾陈琳，李文博

Speaker：

Alejandro Ramírez (NYU Shanghai)

Time：

Thur., 16:00-17:00, Nov. 6, 2025

Venue：

C548, Shuangqing Complex Building A

Title:

A universality property of the one-sided ballistic deposition model near the time axis

Abstract:

Ballistic deposition is a model of interface growth introduced by Vold in 1959, which has remained largely mathematically intractable. In dimension d=2, it is conjectured to belong to the KPZ universality class. It is defined as a process of vertically falling blocks that stick to the top, the right or the left of growing columns. Here we introduce a variant, the one sided ballistic deposition model, in which vertically falling blocks can only stick to the top or the upper right corner of growing columns. We establish that in dimension d=2, strong KPZ universality holds near the time axis, proving that the fluctuations of the height function there are given by the Tracy-Widom GUE distribution. The proof is based on a graphical construction of the process in terms of a last passage percolation model. This talk is based on a joint work with Pablo Groisman, Santiago Saglietti and Sebastián Zaninovich.