Shape theorems for Poisson hail on a bivariate ground
نویسندگان
چکیده
منابع مشابه
Shape Theorems for Poisson Hail on a Bivariate Ground
We consider an extension of the Poisson Hail model where the service speed is either zero or infinity 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 hails...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 2016
ISSN: 0001-8678,1475-6064
DOI: 10.1017/apr.2016.13