3 papers
math.PR2026
(Non-)Hyperuniformity of Second Order Statistics of Point Processes
Fabio Frommer, Martin Hanke
We investigate statistical properties of certain stationary point processes, namely determinantal processes with projection kernels and Gibbs point processes with superstable pair…
math-ph2026
An inversion formula for the 2-body interaction given the correlation functions
Fabio Frommer, Tobias Kuna, Dimitrios Tsagkarogiannis
Given a classical gas described by the truncated correlation functions of all orders, we prove convergence of an expansion of the pair interaction part of the (unknown) potential i…
math-ph2026
The Kirkwood closure point process: A solution of the Kirkwood-Salsburg equations for negative activities
Fabio Frommer
The Kirkwood superposition is a well-known tool in statistical physics to approximate the -point correlation functions for in terms of the density and the radial…