Results 11 to 20 of about 18,079 (220)
Weighted Bergman kernels and virtual Bergman kernels [PDF]
Science in China Series A: Mathematics, 2004 We introduce the notion of "virtual Bergman kernel" and apply it to the computation of the Bergman kernel of "domains inflated by Hermitian balls", in particular when the base domain is a bounded symmetric domain.Comment: 12 pages.
A. Korányi +16 more
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Regularity of the $p-$Bergman kernel [PDF]
Calculus of Variations and Partial Differential Equations, 2023 To appear in Calculus of Variations and PDE.
Bo-Yong Chen, Yuanpu Xiong
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Combined Evidence Reveals the Origin of a Rapid Range Expansion Despite Retained Genetic Diversity and a Weak Founder Effect. [PDF]
Mol EcolABSTRACT Many species are currently experiencing range shifts in response to changing environmental conditions with potentially serious genetic consequences. Repeated founder events and strong genetic drift are expected to erode genetic variation at the range front, reducing adaptive potential and slowing or even halting the expansion.
Bergman NM +12 more
europepmc +2 more sources
The exact Bergman kernel and the kernels of Szegő type [PDF]
Pacific Journal of Mathematics, 1977 Saburou Saitoh
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Bergman kernels and subadjunction [PDF]
, 2010 In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an $\displaystyle L^{2\over m}$ extension theorem of Ohsawa-Takegoshi type, which is derived from the original result by a simple fixed point method.
Bo Berndtsson, Mihai Păun
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Algebraicity of the Bergman kernel
Mathematische Annalen, 2023 Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimension two and fails in higher dimensions, as is illustrated by a counterexample in dimension three constructed in this paper.
Peter Ebenfelt, Ming Xiao, Hang Xu
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Puma habitat preferences when moving and feeding predict the potential for human-carnivore conflict in shared landscapes. [PDF]
Ecol ApplAbstract Large carnivore persistence in an increasingly human‐dominated world requires coexistence between carnivores and people on shared landscapes. Yet, sharing space with carnivores presents challenges, including maintaining sufficient habitat to allow carnivores to satisfy life‐history needs (e.g., hunting, dispersal, and territory establishment ...
Suraci JP +11 more
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Estimates of invariant metrics on pseudoconvex domains near boundaries with constant Levi ranks [PDF]
, 2012 Estimates of the Bergman kernel and the Bergman and Kobayashi metrics on pseudoconvex domains near boundaries with constant Levi ranks are given.Comment: 12 pages. This is a write-up of Chapter IV of the author's Ph.D.
Fu, Siqi
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Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves
Complex Manifolds, 2017 We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ \ {0,1}. The cases of other
Dong Robert Xin
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Mathematics, 2022 The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
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