6 papers
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\…
On central limit theorems for Ewens-Pitman model
Yizao Wang
We establish a quenched functional central limit theorem for the total number of components of random partitions induced by a Chinese restaurant process with parameters $(α,θ), α\i…
A family of log-correlated Gaussian processes
Yizao Wang
A family of log-correlated Gaussian processes indexed by metric spaces is introduced, when the metric is conditionally negative definite. These processes arise as the limit of bi-f…
Limit fluctuations of stationary measure of totally asymmetric simple exclusion process with open boundaries on the coexistence line
WÅodzimierz Bryc, Włodzimierz Bryc, Joseph Najnudel +1
We describe limit fluctuations of the height function for the open TASEP on the coexistence line under the stationary measure. It is known that the height function satisfies a law…
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…
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…