20 citations · 20 across the 10 of their papers we have counts for
11 papers
Synchronized Solutions for Liouville Systems with Sign-Changing Coefficients
Woongbae Park, Lei Zhang
We consider singular Liouville systems on closed Riemann surfaces with a common sign-changing coefficient. Direct continuation from a positive coefficient is obstructed by the unav…
Phason-Driven Diversity of Nucleation Pathways in Icosahedral Quasicrystals
Gang Cui, Lei Zhang, Pingwen Zhang +2
The nucleation of quasicrystals remains a fundamental puzzle, primarily due to the absence of a periodic translational template. Here, we demonstrate that phasons - hidden degrees…
Topology of complete minimal submanifolds in with finite total curvature
Qi Ding, Lei Zhang
In [CKM17], Chodosh, Ketover, and Maximo proved finite diffeomorphism theorems for complete embedded minimal hypersurfaces of dimension 6 with finite index and bounded…
Chromomagnetic condensation and perturbative confinement induced by imaginary rotation in SU(2) Yang-Mills Theory
Lei Zhang, Kun Xu, Mei Huang
We perturbatively investigate the rotation effect on the Polyakov loop potential in SU(2) gauge theroy within a chromomagnetic background. It is observed that the imaginary rotatio…
Hierarchical and ultrametric barriers in the energy landscape of jammed granular matter
Shuonan Wu, Yuchen Xie, Deng Pan +2
According to the mean-field glass theory, the (free) energy landscape of disordered systems is hierarchical and ultrametric if they belong to the full-replica-symmetry-breaking uni…
A parameterization method for quasi-periodic systems with noise: computation of random invariant tori
Pingyuan Wei, Lei Zhang
This work is devoted to studying normally hyperbolic invariant manifolds (NHIMs) for a class of quasi-periodically forced systems subject to additional stochastic noise. These syst…
Good minimal models with nowhere vanishing holomorphic -forms
Feng Hao, Zichang Wang, Lei Zhang
Popa and Schnell show that any holomorphic 1-form on a smooth projective variety of general type has zeros. In this article, we show that a smooth good minimal model has a holomorp…
Non degeneracy of blow-up solutions of non-quantized singular Liouville-type equations and the convexity of the mean field entropy of the Onsager vortex model with singular sources
Daniele Bartolucci, Wen Yang, Lei Zhang
We establish the non-degeneracy of bubbling solutions for singular mean field equations when the blow-up points are either regular or involve non-quantized singular sources. This e…
Scalarization of Taub-NUT Black Holes in Extended scalar-tensor-Gauss-Bonnet Theory
Hai-Shan Liu, Lei Zhang
Recently, scalarization of Schwarzschild black hole are extensively studied. In this work, we explore the scalarization of Taub-NUT black hole. The theory we consider is the extend…
Asymptotic Analysis and Uniqueness of blowup solutions of non-quantized singular mean field equations
Daniele Bartolucci, Wen Yang, Lei Zhang
For singular mean field equations defined on a compact Riemann surface, we prove the uniqueness of bubbling solutions as far as blowup points are either regular points or non-quant…
The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds
Gilbert Weinstein, Lei Zhang
We study a class of fourth order geometric equations defined on a 4-dimensional compact Riemannian manifold which includes the Q-curvature equation. We obtain sharp estimates on th…