Afrim Bojnik

collaborators

5 papers

math.CV2026

Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds

Afrim Bojnik, Ozan GÃ¼nyÃ¼z

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…

math.CV2026

Random Systems of Holomorphic Sections of a Sequence of Line bundles on Compact KÃ¤hler Manifolds

Afrim Bojnik, Ozan GÃ¼nyÃ¼z

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…

math.CV2026

Zeros of random $P$ -polynomials in $C^{d}$ with exponential profiles

Turgay Bayraktar, Afrim Bojnik

We study random multivariate $P$ -polynomials in $C^{d}$ with monomial supports constrained to $n P \cap Z_{+}^{d}$ for a convex body $P \subset R_{+}^{d}$ , and determin…

math.CV2025

Asymptotic Mass Distribution of Random Holomorphic Sections

Turgay Bayraktar, Afrim Bojnik

In this note, we prove a central limit theorem for the mass distribution of random holomorphic sections associated with a sequence of positive line bundles endowed with $\mathscr{C…

math.CV2025

A central limit theorem associated with a sequence of positive line bundles

Afrim Bojnik, Ozan GÃ¼nyÃ¼z

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…

Asymptotic Normality of Divisors of Random Holomorphic Sections on Non-compact Complex Manifolds

Random Systems of Holomorphic Sections of a Sequence of Line bundles on Compact KÃ¤hler Manifolds

Zeros of random P-polynomials in Cd with exponential profiles

Asymptotic Mass Distribution of Random Holomorphic Sections

A central limit theorem associated with a sequence of positive line bundles

Zeros of random $P$ -polynomials in $C^{d}$ with exponential profiles