9 papers
Quantitative Unique Continuation on Simplex and
Shihe Liu, Yunfeng Shi, Zhifei Zhang
In this work, we establish the quantitative unique continuation on both -dimensional simplex lattice and for arbitrary .
Localization and unique continuation for the Anderson-Bernoulli model with long-range hopping on
Shihe Liu, Yunfeng Shi, Zhifei Zhang
In this paper, we study Anderson localization near the spectral edge for the Anderson-Bernoulli model on with long-range hopping. When the hopping has a rational Laure…
Stratification and rectifiability of harmonic map flows via tangent measures
Haotong Fu, Wei Wang, Ke Wu +1
In this paper, we investigate the stratification theory for ``suitable solutions" of harmonic map flows based on the spatial symmetry of tangent measures. Building on the quantitat…
Anderson Localization for the hierarchical Anderson-Bernoulli model on
Shihe Liu, Yunfeng Shi, Zhifei Zhang
In this paper, we prove Anderson localization for a hierarchical Anderson-Bernoulli model on lattice with arbitrary dimension, where the potential is characterized by a geometric h…
On localization for the alloy-type Anderson-Bernoulli model with long-range hopping
Shihe Liu, Yunfeng Shi, Zhifei Zhang
In this paper, we prove the Anderson localization near the spectral edge for some alloy-type Anderson-Bernoulli model on with exponential long-range hopping. This ex…
Extended states for the Random Schrödinger operator on () with decaying Bernoulli potential
Shihe Liu, Yunfeng Shi, Zhifei Zhang
In this paper, we investigate the delocalization property of the discrete Schrödinger operator , where and $Ï=\{Ï_n\}_{n\in\mathbb{Z…