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math.PR2023★ 2 cited
Zeros of random polynomials undergoing the heat flow
Brian C. Hall, Ching-Wei Ho, Jonas Jalowy +1
We investigate the evolution of the empirical distribution of the complex roots of high-degree random polynomials, when the polynomial undergoes the heat flow. In one prominent exa…
math.PR2023★ 1 cited
The heat flow, GAF, and SL(2;R)
Brian Hall, Ching-Wei Ho, Jonas Jalowy +1
We establish basic properties of the heat flow on entire holomorphic functions that have order at most 2. We then look specifically at the action of the heat flow on the Gaussian a…