1 citations · 2 across the 7 of their papers we have counts for
7 papers
A Vibrating Clamped Plate Resembles a Vibrating Membrane at High Frequency
Or Kuperman, Zhengjiang Lin, Dan Mangoubi
We study the clamped plate eigenvalue problem. We show that clamped plate eigenfunctions can be approximated in the -sense by their oscillatory components, which solve the Hel…
Whispering Gallery Modes for Semilinear Dirichlet Eigenvalue Problems
Zhengjiang Lin
We study the boundary localization phenomenon, known as whispering gallery modes, for weak solutions to semilinear Dirichlet eigenvalue problems in the unit ball $B_1 \subseteq \ma…
Nonreciprocal entanglement in exciton optomechanics with an optical parametric amplifier
Zhen-Sen Lin, Rui Zhang, Zi-Wei Jiang +4
We study nonreciprocal bipartite and tripartite entanglement in a spinning exciton-optomechanical system (EOMS) with an optical parametric amplifier (OPA). We demonstrate that nonr…
Nonlocal energy functionals and determinantal point processes on non-smooth domains
Zhengjiang Lin
Given a nonnegative integrable function on , we relate the asymptotic properties of the nonlocal energy functional \begin{equation*} \int_Ω \int_{Ω^c} J \bigg(\fr…
On the topology of Gaussian random zero sets
Zhengjiang Lin
We study the asymptotic laws for the number, Betti numbers, and isotopy classes of connected components of zero sets of real Gaussian random fields, where the random zero sets almo…
Boundary Harnack Principle on Nodal Domains
Fanghua Lin, Zhengjiang Lin
We study some geometric and potential theoretic properties of nodal domains of solutions to certain uniformly elliptic equations. In particular, we establish corkscrew conditions,…
Bifurcation of perturbations of non-generic closed self-shrinkers
Zhengjiang Lin, Ao Sun
We discover a bifurcation of the perturbations of non-generic closed self-shrinkers. If the generic perturbation is outward, then the next mean curvature flow singularity is cylind…