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math.ST2026
Randomized Spectral Inference for Hyperuniformity
Michael Björklund
We test hyperuniformity from one large realization of a stationary point process. Hyperuniformity is equivalent to the average of the structure factor over vanishing as…
math.RT2026
Fourier positivity for spherical functions I: split tori and spherical principal series
Michael Björklund, Dongwen Liu, Jun Yu +1
We prove Fourier positivity for spherical functions on a semisimple linear algebraic group over a local field restricted to its split tori for unitary principal series para…
math.DS2026
On stationary actions of locally compact groups and their Radon-Nikodym cocycles
Nachi Avraham-Re'em, Michael Björklund
We study stationary actions of locally compact measured groups through the structure and regularity of their Radon-Nikodym cocycles. We start with two dynamical consequences of sta…