Bayraktar, Turgay and Coman, Dan and Marinescu, George (2020) Universality results for zeros of random holomorphic sections. Transactions of the American Mathematical Society, 373 (6). pp. 37653791. ISSN 00029947 (Print) 10886850 (Online)
This is the latest version of this item.
PDF (This is a RoMEO green journal  author can archive preprint (ie prerefereeing))
BCM.pdf
Download (397kB)
BCM.pdf
Download (397kB)
Official URL: http://dx.doi.org/10.1090/tran/7807
Abstract
In this work we prove an universality result regarding the equidistribution of zeros of random holomorphic sections associated to a sequence of singular Hermitian holomorphic line bundles on a compact Kahler complex space X. Namely, under mild moment assumptions, we show that the asymptotic distribution of zeros of random holomorphic sections is independent of the choice of the probability measure on the space of holomorphic sections. In the case when X is a compact Kahler manifold, we also prove an offdiagonal exponential decay estimate for
the Bergman kernels of a sequence of positive line bundles on X.
Item Type:  Article 

Subjects:  Q Science > QA Mathematics > QA299.6433 Analysis Q Science > QA Mathematics > QA440 Geometry. Trigonometry. Topology Q Science > QA Mathematics > QA273280 Probabilities. Mathematical statistics 
Divisions:  Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences 
Depositing User:  Turgay Bayraktar 
Date Deposited:  08 Jun 2020 15:35 
Last Modified:  31 Jul 2023 17:02 
URI:  https://research.sabanciuniv.edu/id/eprint/39922 
Available Versions of this Item

Universality results for zeros of random holomorphic sections. (deposited 01 Mar 2019 15:11)
 Universality results for zeros of random holomorphic sections. (deposited 08 Jun 2020 15:35) [Currently Displayed]