Large balls left empty by a critical branching Wiener field |
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| Authors: | P Révész |
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| Institution: | Technische Universität Wien Institut für Statistik und Wahrscheinlichkeitstheorie Wiedner Hauptstrasse, Austria |
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| Abstract: | The particles distributed according to a Poisson random field execute independent critical branching Wiener processes. It looks natural that the largest empty ball around the origin becomes larger and larger with time. The asymptotic behaviour of the radius of the largest empty ball is studied. |
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| Keywords: | Wiener process branching process Poisson process strong law limit distribution |
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