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math.PR2025
On strong sharp phase transition in the random connection model
Mikhail Chebunin, Günter Last
We consider a random connection model (RCM) driven by a Poisson process . We derive exponential moment bounds for an arbitrary cluster, provided that the intensity of $η…
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…