1 citations · 1 across the 9 of their papers we have counts for
11 papers
Square-Root Profiles and Sharp Fourier Decay of Quasiperiodic Spectral Measures
Zhenfu Wang, Qi Zhou
We study spectral measures of one-dimensional quasiperiodic Schrödinger operators. For subcritical Schrödinger operator with Diophantine frequency, we prove sharp measurable-set bo…
Uniform Partition-Function Estimates for Coulomb Modulated Energy at All Positive Temperatures
Zhenfu Wang, Xianliang Zhao
We prove uniform-in- partition-function estimates at all positive temperatures for the centered modulated energy of logarithmic, Riesz, and Bessel--Riesz kernels on $\mathbb R^d…
The Ultimate Ishii-Pastur Theorem for Whole-Line Ergodic Block Jacobi Operators
Zhenfu Wang, Bei Zhang, Qi Zhou
We establish an ultimate Ishii-Pastur theorem for whole-line ergodic block Jacobi operators. We prove that, for almost every realization, the restriction of a maximal spectral meas…
A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions
Zhenfu Wang, Xianliang Zhao
We study Gaussian fluctuations for a lower-triangular system of interacting diffusions in which particle interacts only with its predecessors. Although the empirical measure of…
Transfer Operators, Canonical Center Dynamics, and Spectral Applications for Long-Range Operators
Xianzhe Li, Zhenfu Wang, Jiangong You +1
We introduce an operator-theoretic framework for long-range operators over general dynamical systems with analytic hopping and small potential. By establishing a partially hyperbol…
Anderson localization of long-range quasi-periodic operators via Dynamical Rigidity
Zhenfu Wang, Jiangong You, Qi Zhou
We establish Anderson localization for long-range quasi-periodic operators with large trigonometric potentials and Diophantine frequencies, the proof is based on a novel dynamical…
On the kinetic equation arising from the large-scale limit of the Cucker-Smale model
Ruicheng Cheng, Seung-Yeal Ha, Jaemoon Lee +1
We propose a large-scale scaling viewpoint for deriving mesoscopic dynamics from interacting particle systems and apply it to the Cucker--Smale flocking model. In contrast with the…
Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy
Zhenfu Wang, Xianliang Zhao
We study a lower-triangular system of interacting diffusions in which particle \(i\) interacts only with its predecessors through the empirical measure \(μ^{i-1}_t\). This gives a…
Subordinacy theory for long-range operators: hyperbolic geodesic flow insights and monotonicity theory
Zhenfu Wang, Disheng Xu, Qi Zhou
We introduce a comprehensive framework for subordinacy theory applicable to long-range operators on , bridging dynamical systems and spectral analysis. For finit…
On the mean-field limit of Vlasov-Poisson-Fokker-Planck equations
Li Chen, Jinwook Jung, Peter Pickl +1
The derivation of effective descriptions for interacting many-body systems is an important branch of applied mathematics. We prove a propagation of chaos result for a system of …
Spectrum of Hatano-Nelson model with strictly ergodic potentials
Xueyin Wang, Zhenfu Wang, Jiangong You +1
We provide a precise formula for the spectrum of the Hatano-Nelson model with strictly ergodic potentials in terms of its Lyapunov exponent. As applications, one clearly observes t…