11 citations · 29 across the 18 of their papers we have counts for
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Zeros of polynomial powers under the heat flow
Antonia Höfert, Jonas Jalowy, Zakhar Kabluchko
We study the zero evolution of high powers of polynomials under the heat flow. For any fixed polynomial , we prove that the empirical zero distribution of its heat-evolved $n…
Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices
Sung-Soo Byun, Jonas Jalowy, Yong-Woo Lee +1
We study the statistics of the number of real eigenvalues in the elliptic deformation of the real Ginibre ensemble. As the matrix dimension grows, the law of large numbers and the…
Zeros and exponential profiles of polynomials II: Examples
Jonas Jalowy, Zakhar Kabluchko, Alexander Marynych
In [Jalowy, Kabluchko, Marynych, arXiv:2504.11593v1, 2025], the authors discuss a user-friendly approach to determine the limiting empirical zero distribution of a sequence of real…
Box-Covariances of Hyperuniform Point Processes
Jonas Jalowy, Hanna Stange
In this work, we present a complete characterization of the covariance structure of number statistics in boxes for hyperuniform point processes. Under a standard integrability assu…
Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation
Jonas Jalowy, Zakhar Kabluchko, Alexander Marynych
Given a sequence of polynomials with only nonpositive zeros, the aim of this article is to present a user-friendly approach for determining the limiting…