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math.PR2025
GUE Fluctuations Near the Axis in One-Sided Ballistic Deposition
Pablo Groisman, Alejandro F. Ramírez, Santiago Saglietti +1
We introduce a variation of the classic ballistic deposition model in which vertically falling blocks can only stick to the top or the upper right corner of growing columns. We est…
math.PR2025
On the uniqueness of quasi-stationary distributions for population models with spatial structure
Pablo Groisman, Leonardo T. Rolla, Célio Terra
Subcritical population processes are attracted to extinction and do not have non-trivial stationary distributions, which prompts the study of quasi-stationary distributions (QSDs)…