6 papers
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…
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…
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…
Siegel-Radon transforms of transverse dynamical systems
Michael Björklund, Tobias Hartnick
We extend Helgason's classical definition of a generalized Radon transform, defined for a pair of homogeneous spaces of an lcsc group , to a broader setting in which one of the…
Hyperuniformity and hyperfluctuations of random measures in commutative spaces
Michael Björklund, Mattias Byléhn
We introduce the notion of Bartlett spectral measure for isometrically invariant random measures on proper metric commutative spaces. When the underlying Gelfand pair corresponds t…
Dynamics on spaces of quasimorphisms and applications to approximate lattice theory
Michael Björklund, Tobias Hartnick
We study the dynamics of countable groups on their respective spaces of quasimorphisms. For cohomologically non-trivial quasimorphisms we show that there are no invariant measures…