We prove an almost sure central limit theorem on the Poisson space, which is perfectly tailored for stabilizing functionals arising in stochastic geometry. As a consequence, we provide almost sure central limit theorems for (i) the total edge length of the k-nearest neighbors random graph. (ii) the clique count in random geometric graphs. and (iii) the volume of the set approximation via the Poisson-Voronoi tessellation.
ALMOST SURE CENTRAL LIMIT THEOREMS IN STOCHASTIC GEOMETRY
Torrisi Giovanni Luca
Primo
;
2020
Abstract
We prove an almost sure central limit theorem on the Poisson space, which is perfectly tailored for stabilizing functionals arising in stochastic geometry. As a consequence, we provide almost sure central limit theorems for (i) the total edge length of the k-nearest neighbors random graph. (ii) the clique count in random geometric graphs. and (iii) the volume of the set approximation via the Poisson-Voronoi tessellation.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
ADVANCESAP2020.pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
480.9 kB
Formato
Adobe PDF
|
480.9 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
