2 papers
math.CO2026
Area and water-capacity statistics for upper hulls of Dyck paths
Aleksander L. Owczarek, Thomas Prellberg
We study Dyck paths refined simultaneously by proper area and water capacity, where water capacity is measured above the path and below its lattice-path upper hull. The finite-heig…
math.PR2024
Zeros of conditional Gaussian analytic functions, random sub-unitary matrices and q-series
Yan V. Fyodorov, Boris A. Khoruzhenko, Thomas Prellberg
We investigate radial statistics of zeros of hyperbolic Gaussian Analytic Functions (GAF) of the form given that and assuming coeffici…