arXiv subjects

Yanyan Wang

Publications and source records attributed to Yanyan Wang.

21 records · Page 2Linked to original sources

arXiv2017

The Virtual Neutron Experiment for TOF Neutron Reflectometer

A general virtual neutron experiment for TOF neutron reflectometer was introduced, including instrument simulation, sample modeling, detector simulation and data reduction to mimic the routine of real experimental process and data reduction. The reduced data fit quite well with the sample simulation, confirming the reliability of our algorithm and the smearing effect was analyzed. Methodology and algorithms developed in this study paves the way for the future development of data processing and data reduction software for the TOF neutron reflectometers in China Spallation Neutron Source (CSNS). Details of the virtual experiment and performance of the instrument was demonstrated.

physics.ins-det↗

arXiv2013

Plurisubharmonicity of Bergman Kernels on generalized annuli

Let $A_ζ=Ω-\overline{ρ(ζ)\cdotΩ}$ be a family of generalized annuli over a domain $U$. We show that the logarithm $\log K_ζ(z)$ of the Bergman kernel $K_ζ(z)$ of $A_ζ$ is plurisubharmonic provided $ρ\in PSH(U)$. It is remarkable that $A_ζ$ is non-pseudoconvex when the dimension of $A_ζ$ is larger than one. For standard annuli in ${\mathbb C}$, we obtain an interesting formula for $\partial^2 \log K_ζ/\partial ζ\partial\barζ$, as well as its boundary behavior.

math.CV↗

arXiv2012

Variations of Bergman Kernels for Some Explicitly Given Families of Planar Domains

We study the parameter dependence of the Bergman kernels on some planar domains depending on complex parameter ζin nontrivial "pseudoconvex" ways. Smoothly bounded cases are studied at first: It turns out that, in an example where the domains are annuli, the Levi form for the logarithm of the Bergman kernels with respect to ζapproaches to 0 as the point tends to the boundary of the domain, and in another example where the domains are discs, it approaches to 1 as the point tends to the complement of a point in the boundary. Further, in contrast to this, in the cases where the boundary of the domains are not smooth, such as discs with slits, rectangles and half strips, completely different phenomena are observed.

math.CV↗