Liu, Wencai
- Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase
2018/02/02 by Svetlana Jitomirskaya, Wencai Liu, Jitomirskaya, Svetlana +1 · 4 citations
Mathematics · Physics and Astronomy · Computer Science · #Spectral Theory in Mathematical Physics #Quantum chaos and dynamical systems #Matrix Theory and Algorithms
- Algebraic Properties of the Fermi Variety for Periodic Graph Operators
2023/05/10 by Jake Fillman, Wencai Liu, Fillman, Jake +3 · 5 citations
Materials Science · Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Graph theory and applications #Mathematical Physics (math-ph) #Quasicrystal Structures and Properties #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Fermi isospectrality for discrete periodic Schrodinger operators
2021/06/07 by Liu, Wencai · 2 citations
#35J10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary: 39A12. Secondary: 35P05 #Spectral Theory (math.SP)
- Bloch varieties and quantum ergodicity for periodic graph operators
2022/10/19 by Wencai Liu, Liu, Wencai · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Floquet isospectrality for periodic graph operators
2023/02/25 by Liu, Wencai · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- Proof of geometric Borg's Theorem in arbitrary dimensions
2023/06/28 by Liu, Wencai · 1 citation
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- Sharp palindromic criterion for semi-uniform dynamical localization
2024/10/29 by Svetlana Jitomirskaya, Wencai Liu, Jitomirskaya, Svetlana +3 · 2 citations
Engineering · Computer Science · #Control Systems and Identification #Target Tracking and Data Fusion in Sensor Networks #Sparse and Compressive Sensing Techniques
- Floquet Isospectrality of the Zero Potential for Discrete Periodic Schrödinger Operators
2024/01/18 by Faust, Matthew, Liu, Wencai, Matos, Rodrigo +5 · 1 citation
#35J10 #35P05 #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 58J53. Secondary: 47B36 #Spectral Theory (math.SP)
- Rare Flat Bands for Periodic Graph Operators
2025/03/05 by Matthew D. Faust, Faust, Matthew, Wencai Liu +1 · 3 citations
Mathematics · #14M25 #47A75 #81Q10 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #FOS: Physical sciences #Graph theory and applications #Holomorphic and Operator Theory #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Sharp decay rate for eigenfunctions of perturbed periodic Schrödinger operators
2024/09/16 by Wencai Liu, Rodrigo Matos, Liu, Wencai +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Quantum dynamical bounds for long-range operators with skew-shift potentials
2024/10/31 by Wencai Liu, Matthew Powell, Liu, Wencai +3 · 1 citation
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Quantum Mechanics and Non-Hermitian Physics