Jahnel, Benedikt and Tóbiás, András József (2020) Exponential Moments for Planar Tessellations. JOURNAL OF STATISTICAL PHYSICS, 179 (1). pp. 90-109. ISSN 0022-4715
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Abstract
In this paper we show existence of all exponential moments for the total edge length in a unit disk for a family of planar tessellations based on stationary point processes. Apart from classical tessellations such as the Poisson–Voronoi, Poisson–Delaunay and Poisson line tessellation, we also treat the Johnson–Mehl tessellation, Manhattan grids, nested versions and Palm versions. As part of our proofs, for some planar tessellations, we also derive existence of exponential moments for the number of cells and the number of edges intersecting the unit disk.
| Item Type: | Article |
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| Additional Information: | Export Date: 18 August 2025; Cited By: 4; Correspondence Address: B. Jahnel; Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Mohrenstraße 39, 10117, Germany; email: benedikt.jahnel@wias-berlin.de |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Sep 2025 08:27 |
| Last Modified: | 04 Sep 2025 08:27 |
| URI: | https://real.mtak.hu/id/eprint/223393 |
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