11 citations · 29 across the 18 of their papers we have counts for
5 papers · 2 filters
Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators
Brian C. Hall, Ching-Wei Ho, Jonas Jalowy +1
We start with a random polynomial of degree with independent coefficients. We then consider a new polynomial obtained by applications o…
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…
When does the chaos in the Curie-Weiss model stop to propagate?
Jonas Jalowy, Zakhar Kabluchko, Matthias Löwe +1
We investigate increasing propagation of chaos for the mean-field Ising model of ferromagnetism (also known as the Curie-Weiss model) with spins at inverse temperature an…
Optimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropy
Matthias Erbar, Martin Huesmann, Jonas Jalowy +1
We develop a theory of optimal transport for stationary random measures with a focus on stationary point processes and construct a family of distances on the set of stationary rand…
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…