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Shape theorems for Poisson hail on a bivariate ground
| Content Provider | Scilit |
|---|---|
| Author | Baccelli, François Chang-Lara, Héctor A. Foss, Sergey |
| Copyright Year | 2016 |
| Description | We consider an extension of the Poisson hail model where the service speed is either 0 or ∞ at each point of the Euclidean space. We use and develop tools pertaining to sub-additive ergodic theory in order to establish shape theorems for the growth of the ice-heap under light tail assumptions on the hailstone characteristics. The asymptotic shape depends on the statistics of the hailstones, the intensity of the underlying Poisson point process, and on the geometrical properties of the zero speed set. |
| Related Links | http://arxiv.org/pdf/1403.2166 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/31393DDFF652DAB23E8788251F48E3C6/S0001867816000136a.pdf/div-class-title-shape-theorems-for-poisson-hail-on-a-bivariate-ground-div.pdf |
| Ending Page | 543 |
| Page Count | 19 |
| Starting Page | 525 |
| ISSN | 00018678 |
| e-ISSN | 14756064 |
| DOI | 10.1017/apr.2016.13 |
| Journal | Advances in Applied Probability |
| Issue Number | 2 |
| Volume Number | 48 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2016-06-10 |
| Access Restriction | Open |
| Subject Keyword | Advances in Applied Probability Mathematical Physics Point Process Theory Poisson Rain Stochastic Geometry Random Closed Set Time and Space Growth Queueing Theory plus Algebra Branching Process additive Ergodic Theory Primary 60d05 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistics and Probability |
