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20162026
most citedSecond-harmonic generation in the system with fractional diffraction

19 citations

6 papers

quant-ph2026

Unified monogamy and polygamy relations for multipartite systems

Yue Cao, Naihuan Jing, Kailash Misra +1

For a bipartite entanglement measure that satisfies the th-power monogamy inequality (Eq.~\eqref{e:chap1-ineq1}), and for its assisted counterpart …

quant-ph2025★ 1 cited

Superior monogamy and polygamy relations and estimates of concurrence

Yue Cao, Naihuan Jing, Kailash Misra +1

It is well known that any well-defined bipartite entanglement measure obeys th-monogamy relations Eq. (1.1) and assisted measure obeys th-poly…

math.NA2024

Determining superconvergence points for scheme of variable-exponent subdiffusion and error estimate

Hongying Huang, Huili Zhang, Xiangcheng Zheng

We develop a numerical scheme for subdiffusion of variable exponent by combining the temporal discretization with finite element spatial approximation. In existing works,…

nlin.PS2023★ 19 cited

Second-harmonic generation in the system with fractional diffraction

Pengfei Li, Hidetsugu Sakaguchi, Liangwei Zeng +3

We construct a family of bright optical solitons composed of fundamental frequency (FF) and second-harmonic (SH) components in the one-dimensional (planar) waveguide with the quadr…

math.CO2022

Plethystic Murnaghan-Nakayama rule via vertex operators

Yue Cao, Naihuan Jing, Ning Liu

Based on the vertex operator realization of the Schur functions, a determinant-type plethystic Murnaghan--Nakayama rule is obtained and utilized to derive a general formula of the…

math.DS2016

Chaotic and Topological Properties of Continued Fractions

Weibin Liu, Bing Li

We prove that there exists a scrambled set for the Gauss map with full Hausdorff dimension. Meanwhile, we also investigate the topological properties of the sets of points with den…