Results 31 to 40 of about 233 (146)
Osculating geometry and higher‐order distance Loci
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
wiley +1 more source
Vanishing Bergman Kernels on the Disk [PDF]
We discuss topics related to zeroes of the Bergman kernels, and present a method for generating Bergman kernels with arbitrarily, but finitely, many zeroes. It is also shown that a Bergman kernel induced by a radial weight on the unit disk cannot have infinitely many zeroes.
openaire +2 more sources
This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
wiley +1 more source
Bergman kernels and subadjunction
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.
Berndtsson, Bo, Păun, Mihai
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Bergman kernels and symplectic reduction [PDF]
We present several results concerning the asymptotic expansion of the invariant Bergman kernel of the spinc Dirac operator associated with high tensor powers of a positive line bundle on a compact symplectic manifold.
Ma, Xiaonan, Zhang, Weiping
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Abstract In tropical forests today, hunting for food and income remains largely unsustainable, with adverse implications for biodiversity, ecological services, and human wellbeing. Even though our scientific knowledge of the issue has improved greatly in recent years, the situation on the ground has not. This Perspective presents our opinions and ideas
David S. Wilkie +3 more
wiley +1 more source
A mechanistic porous‐medium model of pork loin roasting integrates heat and mass transfer with protein denaturation and anisotropy, predicting temperature, moisture, and swelling pressure. Dripping, rather than evaporation, is identified as the primary cause of weight loss, and the effects of oven humidity and anisotropy on cooking are quantified ...
Jhony T. Teleken +4 more
wiley +1 more source
Regularity of the $$p-$$Bergman kernel
To appear in Calculus of Variations and PDE.
Bo-Yong Chen, Yuanpu Xiong
openaire +3 more sources
Universality for fluctuations of counting statistics of random normal matrices
Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
wiley +1 more source
22 pages. All comments are welcome!
Bao, Shijie, Guan, Qi'an, Yuan, Zheng
openaire +2 more sources

