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math.PR2025
Dynamics of rotationally invariant polynomial root sets under iterated differentiations
André Galligo, Joseph Najnudel, Truong Vu
We associate to an -sample of a given rotationally invariant probability measure with compact support in the complex plane, a polynomial with roots given by the samp…
math.PR2025
The Fourier coefficients of the holomorphic multiplicative chaos in the limit of large frequency
Joseph Najnudel, Elliot Paquette, Nick Simm +1
The holomorphic multiplicative chaos (HMC) is a holomorphic analogue of the Gaussian multiplicative chaos. It arises naturally as the limit in large matrix size of the characterist…