3 papers
math.PR2026
Completely Positive Entropy and Fourier Central Limit Theorems for Stationary Random Measures
Michael Björklund
We prove an almost-everywhere Fourier central limit theorem for stationary random measures on $\bR^d$ with local second moments whose translation action is essentially free and has…
math.PR2026
Stealthy point processes and lattice induction
Michael Björklund
We prove a realization theorem for stealthy point processes based on lattice induction, together with a converse in dimension one. Every probability-preserving -action…
math.DS2024
A Szemerédi type theorem for sets of positive density in approximate lattices
Michael Björklund, Alexander Fish
An extension of Szemerédi's Theorem is proved for sets of positive density in approximate lattices in general locally compact and second countable abelian groups. As a consequence…