Turgay Bayraktar

works on

chern forms 1 degeneracy loci 1 grassmannian embeddings 1 kahler manifolds 1 random sections 1 wishart distribution 1

From the 1 of 8 linked papers with an AI index.

activity

20242026

collaborators

8 papers

math.CV2026

Asymptotic expansion of induced Grassmannian Chern forms and distribution of random degeneracy sets

Turgay Bayraktar, Dan Coman, Bingxiao Liu +1

The authors obtain a complete asymptotic expansion for Chern forms induced by Grassmannian embeddings of high‑tensor‑power holomorphic sections, and use it to prove that normalized…

math.AG2026

The Expected Depth of Random Real Algebraic Plane Curves

Turgay Bayraktar, Ali UlaÅ ÃzgÃ¼r KiÅisel

In this note we study asymptotic isotopy of random real algebraic plane curves. More precisely, we obtain a Kac-Rice type formula that gives the expected number of two-sided compon…

math.AG2026

On Nests and Large Components of Random Real Algebraic Curves

Ali UlaÅ ÃzgÃ¼r KiÅisel, Turgay Bayraktar

We develop a variant of the barrier method in order to address questions about topology of Kostlan random real algebraic plane curves. In particular we prove that the expected numb…

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…