5 papers · 1 filter
Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds
Afrim Bojnik, Ozan Günyüz
We prove a central limit theorem for smooth linear statistics related to the zero divisors of Gaussian i.i.d. centered holomorphic sections of tensor powers of a Hermitian holomorp…
Equidistribution for Random Polynomials and Systems of Random Holomorphic Sections
Ozan Günyüz
This article addresses an equidistribution problem concerning the zeros of systems of random holomorphic sections of positive line bundles on compact Kähler manifolds and random p…
Random Systems of Holomorphic Sections of a Sequence of Line bundles on Compact Kähler Manifolds
Afrim Bojnik, Ozan Günyüz
This paper primarily establishes an asymptotic variance estimate for smooth linear statistics associated with zero sets of systems of random holomorphic sections in a sequence of p…
A central limit theorem associated with a sequence of positive line bundles
Afrim Bojnik, Ozan Günyüz
We prove a central limit theorem for smooth linear statistics associated with zero divisors of standard Gaussian holomorphic sections in a sequence of holomorphic line bundles with…
Core Sets in Kahler Manifolds
Nihat Gökhan GögüÅ, Ozan Günyüz, Ãzcan Yazıcı
The primary objective of this paper is to study core sets in the setting of m-subharmonic functions on the class of (non-compact) Kahler manifolds. Core sets are investigated in di…