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-ph2025
The second fluctuation-dissipation theorem for the generalized Langevin equation
Martin Hanke
Necessary and sufficient conditions are presented for the existence of (second order) stationary solutions of the generalized Langevin equation under appropriate assumptions on the…
math.AP2025
On the shape derivative of polygonal inclusions in the conductivity problem
Martin Hanke
We consider the conductivity problem for a homogeneous body with an inclusion of a different, but known, conductivity. Our interest concerns the associated shape derivative, i.e.,…