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math.PR2025
Law of Large Numbers for continuous -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 -particle ensembles, in terms of the asymptotics of the…
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 vertices,…