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math.PR2026
Functional central limit theorems for Laguerre tessellations
Chinmoy Bhattacharjee, Anna Gusakova, Christian Hirsch
We study empirical processes of observable extreme generators in stationary Poisson-Laguerre tessellations, with each generator weighted either by one or by the volume of its cell.…
math.PR2026
Chaos and Superconcentration for Poisson Functionals with Applications in Stochastic Geometry
Chinmoy Bhattacharjee, Rowan O'Clarey
We consider square-integrable functionals of Poisson point processes for which the variance upper bound provided by the classical Poincaré inequality is suboptimal, a phenomenon kn…
math.PR2025
Gaussian approximation for Extreme Points in Laguerre tessellations
Chinmoy Bhattacharjee, Anna Gusakova
We consider Gaussian approximation in three particular models of Poisson-Laguerre tessellations, namely, the -, - and Gaussian-Voronoi tessellations. The tessellations are c…