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math.PR2024
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…
math.PR2024
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 {\it…
math.PR2024
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…