On the decacy of matrix coefficients for exceptional groups.
A new family of Markov branching trees: the alpha-gamma model.
Invariant differential operators on symplectic Grassmann manifolds.
Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation.
Completeness of the Bergman metric on non-smooth pseudoconvex domains
We prove that the Bergman metric on domains satisfying condition S is complete. This implies that any bounded pseudoconvex domain with Lipschitz boundary is complete with respect to the Bergman metric. We also show that bounded hyperconvex domains in the plane and convex domains in are Bergman comlete.
Weighted Bergman kernel: asymptotic behavior, applications and comparison results
Inspired by the work of Engliš, we study the asymptotic behavior of the weighted Bergman kernel together with an application to the Lu Qi-Keng conjecture. Some comparison results between the weighted and the classical Bergman kernel are also obtained.
A new invariant Kähler metric on relatively compact domains in a complex manifold
We introduce a new invariant Kähler metric on relatively compact domains in a complex manifold, which is the Bergman metric of the L² space of holomorphic sections of the pluricanonical bundle equipped with the Hermitian metric introduced by Narasimhan-Simha.
Restricted exchangeable partitions and embedding of associated hierarchies in continuum random trees
We introduce the notion of a restricted exchangeable partition of . We obtain integral representations, consider associated fragmentations, embeddings into continuum random trees and convergence to such limit trees. In particular, we deduce from the general theory developed here a limit result conjectured previously for Ford’s alpha model and its extension, the alpha-gamma model, where restricted exchangeability arises naturally.
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