3 papers
math.DG2026
Holomorphic Bisectional Curvature on Total Spaces of Holomorphic Vector Bundles
Xingluan Wang
We study complete Khler metrics with prescribed signs of holomorphic bisectional curvature on total spaces of holomorphic vector bundles over compact complex manifolds. We estab…
math.PR2019
On -convergence of the Biggins martingale with complex parameter
Alexander Iksanov, Xingang Liang, Quansheng Liu
We prove necessary and sufficient conditions for the -convergence, , of the Biggins martingale with complex parameter in the supercritical branching random walk. The resu…
math.PR2010
Weighted moments of the limit of a branching process in a random environment
Xingang Liang, Quansheng Liu
Let be a supercritical branching process in a random environment , and be the limit of the normalized population size $Z_n/\mathbb{E%}(Z_n|ζ)$. We show necessary a…