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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Direct sampling method to inverse wave-number-dependent source problems: determination of the support of a stationary source
反波数 相关源问题 直接采样 固定源
2023/11/29
This talk is concerned with a direct sampling method for imaging the support of a frequency-dependent source term embedded in a homogeneous and isotropic medium. The source term is given by the Fourie...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Rankin-Selberg problems in families
家庭 兰金-塞尔伯格问题 Hecke尖点形式
2023/5/9
Let $f$ be a holomorphic Hecke cusp form or Hecke-Maass cusp form for $SL(2,\mathbb{Z}),$ and let $\lambda_{f}(n)$ be the $n$th Hecke eigenvalue. Rankin and Selberg showed that$$\sum_{1 \leq m \leq X}...
Reconstruction and Clustering in Random Constraint Satisfaction Problems
Random quantity structure solution space threshold
2015/8/20
Random instances of Constraint Satisfaction Problems (CSP’s) appear to be hard for all known algorithms, when the number of constraints per variable lies in a certain interval. Contributing to the gen...
Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Riemann Hilbert matrix orthogonal polynomials discrete matrix equations singularity confinement
2011/7/6
In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the corresponding...