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 …

Universality results for zeros of random holomorphic sections

T Bayraktar, D Coman, G Marinescu - Transactions of the American …, 2020 - ams.org
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 …

[引用][C] Equidistribution for sequences of line bundles on normal Kähler spaces

D Coman, X Ma, G Marinescu - Geometry & Topology, 2017 - msp.org
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 …

[HTML][HTML] Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles

TC Dinh, X Ma, G Marinescu - Journal of Functional Analysis, 2016 - Elsevier
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 …

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 …

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 …

Approximation and equidistribution results for pseudo-effective line bundles

D Coman, G Marinescu, VA Nguyên - Journal de Mathématiques Pures et …, 2018 - Elsevier
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 …

Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds

D Coman, W Lu, X Ma, G Marinescu - Advances in Mathematics, 2023 - Elsevier
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 …

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 …

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 |
SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a journal …