Phase Transitions in Gravitational Allocation
نویسندگان
چکیده
منابع مشابه
Phase Transitions in Gravitational Allocation
Given a Poisson point process of unit masses (“stars”) in dimension d ≥ 3, Newtonian gravity partitions space into domains of attraction (cells) of equal volume. In earlier work, we showed the diameters of these cells have exponential tails. Here we analyze the quantitative geometry of the cells and show that their large deviations occur at the stretched-exponential scale. More precisely, the p...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2010
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-010-0090-7