3 papers
math.PR2026
Second-order fluctuations for a phase transition in random partitions
Jaime Garza, Yizao Wang
In a recent paper, Banderier et al. (2024) investigated the limiting behavior of component counts of random partitions induced by the Chinese restaurant process with parameters $α\…
math.PR2025
A functional central limit theorem for weighted occupancy processes of the Karlin model
Jaime Garza, Yizao Wang
A functional central limit theorem is established for weighted occupancy processes of the Karlin model. The weighted occupancy processes take the form of, with denoting t…
math.PR2024
Limit theorems for random permutations induced by Chinese restaurant processes
Jaime Garza, Yizao Wang
We investigate the random permutation matrices induced by the Chinese restaurant processes with -seating. When , the permutations are those following Ewens meas…