2 papers
math.PR2025
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…
math.PR2025
The heat flow conjecture for polynomials and random matrices
Brian C. Hall, Ching-Wei Ho
We study the evolution of the roots of a polynomial of degree , when the polynomial itself is evolving according to the heat flow. We propose a general conjecture for the large-…