Cesar Cuenca

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20242026

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math.PR2025

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-ph2025

Crystallization of discrete $N$ -particle systems at high temperature

Cesar Cuenca, Maciej Dołęga

This is the second paper in a series studying the global asymptotics of discrete $N$ -particle systems with inverse temperature parameter $θ$ in the high temperature regime. In the…

math.PR2025

Discrete $N$ -particle systems at high temperature through Jack generating functions

Cesar Cuenca, Maciej Dołęga

We find necessary and sufficient conditions for the Law of Large Numbers for random discrete $N$ -particle systems with the deformation (inverse temperature) parameter $θ$ , as their…

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

Crystallization of discrete N-particle systems at high temperature

Discrete N-particle systems at high temperature through Jack generating functions

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

Crystallization of discrete $N$ -particle systems at high temperature

Discrete $N$ -particle systems at high temperature through Jack generating functions