Studying the long-term behavior of the K(a)hler-Ricci flow on mildly singular varieties,one isnaturally lead to construct weak solutions of degenerate parab
We will discuss a particular sums of squares problem for analytic functions,and explore how progress on this problem yields results concerning mappings betw
The problem of regularity of mappings between real hypersurfaces in complex space has attracted a lot of attention of experts in CR-geometry in the last few
It is well-known that every Riemannian surface carries at least one complex structure.Thus it reasonable to do quantitative complex analysis on a Riemannian
We study the asymptotics of Fubini-Study currents and zeros of random holomorphic sections associated to a sequence of singular Hermitian line bundles on a
The (6)-Neumann Laplacian is an elliptic operator with non-coercive boundary conditions.Its spectrum is more sensitive to underlying geometric and analytic
It has been systematically studied the exact boundary controllability of classical solutions to quasilinear hyperbolic systems of conservation laws; while i