Jiaming Xu

collaborators

4 papers

math.PR2026

Rectangular Matrix Additions in Low and High Temperatures

Jiaming Xu

We study the addition of two independent random $N \times M$ rectangular matrices with invariant distributions in two limiting regimes, where the parameter $I^^{2}$ (inverse temperature…

math.PR2026

Law of Large Numbers for continuous $N$ -particle ensembles at fixed temperature

Cesar Cuenca, Jiaming Xu

In this paper, we find necessary and sufficient conditions for the Law of Large Numbers of averaged empirical measures of $N$ -particle ensembles, in terms of the asymptotics of the…

math.PR2026

Airy limit for $I^^{2}$ -additions through Dunkl operators

David Keating, Jiaming Xu

It is well known that the edge limit of Gaussian/Laguerre Beta-ensembles, as well as a large class of $I^^{2}$ -ensembles is given by the $Airy (I^^{2})$ point process. We extend th…

math.PR2025

A Proof of The Changepoint Detection Threshold Conjecture in Preferential Attachment Models

Hang Du, Shuyang Gong, Jiaming Xu

We investigate the problem of detecting and estimating a changepoint in the attachment function of a network evolving according to a preferential attachment model on $n$ vertices,…

Rectangular Matrix Additions in Low and High Temperatures

Law of Large Numbers for continuous N-particle ensembles at fixed temperature

Airy limit for I^2-additions through Dunkl operators

A Proof of The Changepoint Detection Threshold Conjecture in Preferential Attachment Models

Law of Large Numbers for continuous $N$ -particle ensembles at fixed temperature

Airy limit for $I^^{2}$ -additions through Dunkl operators