Publications

All papers can be downloaded from ArXiv. You may use this link to see my publications on MathSciNet. I am also present on Google Scholar.

Papers

  • (with D. Coman, B. Liu and G. Marinescu) Asymptotic expansion of induced Grassmannian Chern forms and distribution of random degeneracy sets, to appear in Bull. Inst. Math. Acad. Sin. (N.S.), arXiv: 2607.11489.
  • (with D. Coman, B. Liu and G. Marinescu) Tian’s theorem for Grassmannian embeddings and degeneracy sets of random sections, to appear in J. Reine Angew. Math. (Crelle), DOI:10.1515/crelle-2026-0047, arXiv: 2504.19731.
  • (with A. Bojnik) Asymptotic Mass Distribution of Random Holomorphic Sections, Anal. Math. Phys., 16 (2026) no. 2, 24 pages.
  • (with G. Alpan and N. Levenberg) Widom factors in C^n, J. Approx. Theory, 313 (2026) Paper no. 106227, 28pp.
  • (with D. Coman and G. Marinescu and V.-A. Nguyên) Zeros of random holomorphic sections of big line bundles with continuous metrics, to appear in AMS Contemporary Mathematics volume in memory of Steve Zelditch, arXiv: 2404.08116.
  • (with T. Bloom and N. Levenberg) Zeros of polynomial mappings in several complex variables, Journal d’Analyse Math., 153 (2024), 219-245.
  • (with E. Karaca) An Exponential Rarefaction Result for Sub-Gaussian Real Algebraic Maximal Curves, Comptes Rendus Mathématique, 362 (2024), 779-788.
  • (with A.U.Ö. Kişisel) Expected Multivolumes of Random Amoebas, J. Complexity, 80 (2024) Paper no. 101802.
  • (with Ç. Çelik) Zero Distribution of Random Bernoulli Polynomial Mappings, Electron. J. Probab., 28 (2023), article no. 128, 1–15.
  • (with M. Efe) On Dynamics of Asymptotically Minimal Polynomials, J. Approx. Theory, 295 (2023) Paper no. 105956, 17pp.
  • (with S. Hussung, N. Levenberg and M. Perera) Pluripotential theory and convex bodies: A Siciak-Zaharjuta Theorem, Comput. Methods Funct. Theory, 20 (2020), no. 3-4, 571-590.
  • Mass equidistribution for random polynomials, Potential Anal., 53 (2020), no. 4, 1403-1421.
  • (with D. Coman and G. Marinescu) Universality results for zeros of random holomorphic sections, Transactions of the AMS, 373 (2020), no. 6, 3765-3791.
  • (with T. Bloom and N. Levenberg and C.H. Lu) Pluripotential Theory and Convex Bodies: Large Deviation Principle, Ark. Mat., 57 (2019) 247-283.
  • On global universality for zeros of random polynomials, Hacet. J. Math. Stat., 48 (2019) no. 2, 384-398.
  • (with D. Coman and H. Herrmann and G. Marinescu) A survey on zeros of random holomorphic sections, Dolomites Res. Notes Approx., 11 (2018) no. 4, Special issue dedicated to Norm Levenberg, 1-19.
  • Almost sure invariance principle for non-autonomous holomorphic dynamics in P^k, Conform. Geom. Dyn., 22 (2018), 45-61.
  • Expected number of real roots for random linear combinations of  orthogonal polynomials associated with radial weights, Potential Anal., 48 (2018), no. 4, 459-471.
  • (with T. Bloom and N. Levenberg) Pluripotential Theory and Convex Bodies, Sbornik Mathematics, 209 (2018), no. 3, 67-101.
  • Asymptotic normality of linear statistics of zeros of random polynomials, Proc. of Amer. Math. Soc., 145 (2017), no. 7, 2917-2929.
  • Zero distribution of random sparse polynomials, Michigan Math. J., 66 (2017), no 2, 389-419.
  • Equidistribution of zeros of random holomorphic sections, Indiana Univ. Math. J., 65 (2016), no. 5, 1759-1793.
  • Ergodic properties of random holomorphic endomorphisms of  P^k, Int. Math. Res. Not.  IMRN, (2015), no. 4, 927-959.
  • (with S. Cantat) Constraints on automorphism groups of higher dimensional manifolds, J. Math. Anal. Appl. 405 (2013), no. 1, 209-213.
  • Equidistribution toward the Green current in big cohomology classes, Internat. J. Math., 24 (2013), no. 10, 1350080, 25 pp.
  • Green currents for meromorphic maps of compact Kahler manifolds, J. Geom. Anal. 23 (2013), no. 2, 970-998.

 

Pre-prints 

  • (with A.U.Ö. Kişisel) On Nests and large components of random real Algebraic curves, arXiv: 2604.18350.
  • (with A. Bojnik) Zeros of random P-polynomials in C^d with exponential profiles, arXiv: 2604.02453.
  • (with M. Efe) A Dynamical Fekete-Szegö Theorem, arXiv: 2603.01684.
  • Sampling property of Fekete points for random holomorphic sections,  arXiv: 2004.02773.

 

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