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math.PR2026
The Rectangular Finite Free Heat Flow
Cesar Cuenca, Colin McSwiggen
We define and study the rectangular finite free heat flow, a dynamical system on polynomials that plays the role of the heat equation in the setting of rectangular finite free prob…
math.PR2026
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
Discrete -particle systems at high temperature through Jack generating functions
Cesar Cuenca, Maciej DoÅÄga
We find necessary and sufficient conditions for the Law of Large Numbers for random discrete -particle systems with the deformation (inverse temperature) parameter , as thei…