3 papers
math.PR2025
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…
math.PR2024
Hyperuniformity in regular trees
Mattias Byléhn
We study notions of hyperuniformity for invariant locally square-integrable point processes in regular trees. We show that such point processes are never geometrically hyperuniform…
math.PR2024
Hyperuniformity of random measures on Euclidean and hyperbolic spaces
Michael Björklund, Mattias Byléhn
We investigate lower asymptotic bounds of number variances for invariant locally square-integrable random measures on Euclidean and real hyperbolic spaces. In the Euclidean case we…