Bernard Bercu

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20242026

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math.PR2026

A Central Limit Theorem for the Ewens-Pitman random partition in the large- $I^¸$ regime via a martingale approach

Bernard Bercu, Claudia Contardi, Emanuele Dolera +1

The Ewens-Pitman model defines a distribution on random partitions of ${1, \dots, n}$ , with parameters $I^\pm \in [0, 1)$ and $I^¸ > - I^\pm$ ; the case $I^\pm = 0$ reduces to the classical Ewens…

math.PR2026

A Gaussian process limit for the self-normalized Ewens-Pitman process

Bernard Bercu, Stefano Favaro

For an integer $n \geq 1$ , consider a random partition $I^_{n}$ of ${1, \dots, n}$ into $K_{n}$ partition sets with $K_{r, n}$ partition subsets of size $r = 1, \dots, n$ , and assume $Î…

math.PR2025

A new look on large deviations and concentration inequalities for the Ewens-Pitman model

Bernard Bercu, Stefano Favaro

The Ewens-Pitman model is a probability distribution for random partitions of the set $[n] = {1, \dots, n}$ , parameterized by $I^\pm \in [0, 1)$ and $I^¸ > - I^\pm$ , with $I^\pm = 0$ corresponding to…

A Central Limit Theorem for the Ewens-Pitman random partition in the large-I^¸ regime via a martingale approach

A Gaussian process limit for the self-normalized Ewens-Pitman process

A new look on large deviations and concentration inequalities for the Ewens-Pitman model

A Central Limit Theorem for the Ewens-Pitman random partition in the large- $I^¸$ regime via a martingale approach