2 papers
math.PR2026
Persistence of asymptotic variance under transport: from hyperfluctuation to stealthy hyperuniformity
Luca Lotz, Michael A. Klatt
We introduce -uniformity to characterize the scaling of density fluctuations in spatial random systems in , ranging from hyperfluctuation to stealthy hyperuniformit…
math.PR2025
Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples
Michael A. Klatt, Günter Last, Luca Lotz +1
We consider invariant transports of stationary random measures on and establish natural mixing criteria that guarantee persistence of asymptotic variances. To check…