Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
CY Hsiao, G Marinescu - arXiv preprint arXiv:1112.5464, 2011 - arxiv.org
In this paper we study the asymptotic behaviour of the spectral function corresponding to the
lower part of the spectrum of the Kodaira Laplacian on high tensor powers of a holomorphic …
lower part of the spectrum of the Kodaira Laplacian on high tensor powers of a holomorphic …
Universality results for zeros of random holomorphic sections
In this work we prove a universality result regarding the equidistribution of zeros of random
holomorphic sections associated to a sequence of singular Hermitian holomorphic line …
holomorphic sections associated to a sequence of singular Hermitian holomorphic line …
[引用][C] Equidistribution for sequences of line bundles on normal Kähler spaces
Equidistribution for sequences of line bundles on normal Kähler spaces Page 1 msp Geometry
& Topology 21 (2017) 923–962 Equidistribution for sequences of line bundles on normal …
& Topology 21 (2017) 923–962 Equidistribution for sequences of line bundles on normal …
[HTML][HTML] Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles
Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian
line bundles - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …
line bundles - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …
A survey on zeros of random holomorphic sections
T Bayraktar, D Coman, H Herrmann… - arXiv preprint arXiv …, 2018 - arxiv.org
We survey results on the distribution of zeros of random polynomials and of random
holomorphic sections of line bundles, especially for large classes of probability measures on …
holomorphic sections of line bundles, especially for large classes of probability measures on …
Hölder singular metrics on big line bundles and equidistribution
D Coman, G Marinescu… - International Mathematics …, 2016 - academic.oup.com
We show that normalized currents of integration along the common zeros of random-tuples
of sections of powers of singular Hermitian big line bundles on a compact Kähler manifold …
of sections of powers of singular Hermitian big line bundles on a compact Kähler manifold …
Approximation and equidistribution results for pseudo-effective line bundles
We study the distribution of the common zero sets of m-tuples of holomorphic sections of
powers of m singular Hermitian pseudo-effective line bundles on a compact Kähler manifold …
powers of m singular Hermitian pseudo-effective line bundles on a compact Kähler manifold …
Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds
Given a sequence of positive Hermitian holomorphic line bundles (L p, hp) on a Kähler
manifold X, we establish the asymptotic expansion of the Bergman kernel of the space of …
manifold X, we establish the asymptotic expansion of the Bergman kernel of the space of …
Equidistribution of zeros of random holomorphic sections for moderate measures
G Shao - Mathematische Zeitschrift, 2016 - Springer
We establish an equidistribution theorem for the zeros of random holomorphic sections of
high powers of a positive holomorphic line bundle. The equidistribution is associated with a …
high powers of a positive holomorphic line bundle. The equidistribution is associated with a …
Equidistribution on big line bundles with singular metrics for moderate measures
G Shao - The Journal of Geometric Analysis, 2017 - Springer
Equidistribution on Big Line Bundles with Singular Metrics for Moderate Measures |
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