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arXiv · 2608.05185

On the heat flow conjecture for random matrices

Theodoros Assiotis
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Abstract

We prove general cases of the heat flow conjecture for random matrices of Hall-Ho. In particular, the empirical measure of the zeros of the heat-flow-evolved characteristic polynomial of a complex Ginibre matrix converges almost surely to the semicircle law.

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Theodoros Assiotis. 2026-07-27. On the heat flow conjecture for random matrices. https://arxiv.org/abs/2608.05185

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