6 papers · 1 filter
Limit theory for Lipschitz-localized statistics in random geometric models
B. BÅaszczyszyn, D. Yogeshwaran, J. E. Yukich
We study sums of locally dependent scores associated with general marked (i.e., labeled) Euclidean point processes. We introduce geometric mixing conditions on the underlying point…
Hyperuniformity and optimal transport of point processes
Raphaël Lachièze-Rey, D. Yogeshwaran
We examine optimal matchings or transport between two stationary random measures. It covers allocation from the Lebesgue measure to a point process and matching a point process to…
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…
Stationary random measures : Covariance asymptotics, variance bounds and central limit theorems
Manjunath Krishnapur, D. Yogeshwaran
We consider covariance asymptotics for linear statistics of a general stationary random measure in terms of its truncated pair correlation measure. These asymptotics are particular…
Spectra of Poisson functionals and applications in continuum percolation
Chinmoy Bhattacharjee, Giovanni Peccati, D. Yogeshwaran
Let be a Poisson random measure (defined on some Polish space), and let be a square-integrable functional of . In this paper we define and study a new notion of {\…
Normal approximation for statistics of randomly weighted complexes
Shu Kanazawa, Khanh Duy Trinh, D. Yogeshwaran
We prove normal approximation bounds for statistics of randomly weighted (simplicial) complexes. In particular, we consider the complete -dimensional complex on vertices wit…