Overcrowding and hole probabilities for random zeros on complex manifolds
نویسندگان
چکیده
منابع مشابه
Overcrowding and Hole Probabilities for Random Zeros on Complex Manifolds
We give asymptotic large deviations estimates for the volume inside a domain U of the zero set of a random holomorphic section of the N -th power of a positive line bundle on a compact Kähler manifold. In particular, we show that for all δ > 0, the probability that this volume differs by more than δN from its average value is less than exp(−Cδ,UN), for some constant Cδ,U > 0. As a consequence, ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2008
ISSN: 0022-2518
DOI: 10.1512/iumj.2008.57.3700