Lingxiao Li

ORCID: 0000-0001-7577-0008
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Research Areas
  • Laser-Matter Interactions and Applications
  • Laser-Plasma Interactions and Diagnostics
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Geometric Analysis and Curvature Flows
  • Laser-induced spectroscopy and plasma
  • Fractional Differential Equations Solutions
  • Advanced Fiber Laser Technologies
  • Topological and Geometric Data Analysis
  • Groundwater flow and contamination studies
  • Quantum Mechanics and Non-Hermitian Physics
  • Cell Image Analysis Techniques
  • Ionosphere and magnetosphere dynamics
  • Advanced Mathematical Physics Problems
  • Prenatal Screening and Diagnostics
  • Renal and related cancers
  • Vacuum and Plasma Arcs
  • Tensor decomposition and applications
  • Optical Coherence Tomography Applications
  • Statistical and numerical algorithms
  • Earthquake Detection and Analysis
  • Differential Equations and Boundary Problems
  • Regional Economics and Spatial Analysis
  • Computational Physics and Python Applications
  • 3D Shape Modeling and Analysis

Henan University of Science and Technology
2008-2024

Xi'an Jiaotong University
2019-2022

Capital Normal University
2022

Nanjing University of Posts and Telecommunications
2019-2021

Massachusetts Institute of Technology
2020-2021

Chinese Academy of Sciences
2018

Institute of Optics and Electronics, Chinese Academy of Sciences
2018

University of Chinese Academy of Sciences
2018

10.1007/s11766-010-2128-x article EN Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao 2010-12-01

Abstract Within the frame of electrodynamic and nonlinearly Thomson scattering, we study motion spatial radiation features a static electron irradiated by circularly polarized tightly focused laser with different intensities. Combining existing <?CDATA $\left( {\varphi ,\theta } \right)$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mi>φ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>θ</mml:mi> </mml:mrow> </mml:mfenced>...

10.1088/1612-202x/abd170 article EN Laser Physics Letters 2020-12-21

Abstract In this paper, nonlinear Thomson scattering in an intense ( <?CDATA ${a_0} = 6$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mi>a</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>6</mml:mn> </mml:math> ) tightly focused ${b_0} 3\,{\mu} {\text{m}}$?> <mml:mi>b</mml:mi> <mml:mn>3</mml:mn> <mml:mi>μ</mml:mi> <mml:mtext>m</mml:mtext> Gaussian laser pulse is theoretically and numerically...

10.1088/1555-6611/abd3f7 article EN Laser Physics 2020-12-29

Wasserstein barycenters provide a geometrically meaningful way to aggregate probability distributions, built on the theory of optimal transport. They are difficult compute in practice, however, leading previous work restrict their supports finite sets points. Leveraging new dual formulation for regularized barycenter problem, we introduce stochastic algorithm that constructs continuous approximation barycenter. We establish strong duality and use corresponding primal-dual relationship...

10.48550/arxiv.2008.12534 preprint EN other-oa arXiv (Cornell University) 2020-01-01

Abstract To investigate the ratio of mitochondrial DNA to genomic (mt/gDNA) in embryo culture medium as a possible predictor for embryonic development and pregnancy outcome, we collected total 93 biopsy specimens from 52 women at corresponding Day 3 (D3) 5 (D5) vitro fertilization. With multiple annealing looping-based amplification cycles method next-generation sequencing whole genome amplification, examined karyotype samples mt/gDNA medium. Results showed that had an upward trend with...

10.1038/s41598-019-41801-1 article EN cc-by Scientific Reports 2019-03-29

Wasserstein barycenters have become popular due to their ability represent the average of probability measures in a geometrically meaningful way. In this paper, we present an algorithm approximate Wasserstein-2 continuous via generative model. Previous approaches rely on regularization (entropic/quadratic) which introduces bias or input convex neural networks are not expressive enough for large-scale tasks. contrast, our does introduce and allows using arbitrary networks. addition, based...

10.48550/arxiv.2201.12245 preprint EN other-oa arXiv (Cornell University) 2022-01-01

In this paper, three forms of (2 + l)-dimensional Burgers’ equations are investigated. More general multiple solutions these obtained by dependent variable transformation derived using the simplified homogeneous balance method.

10.3390/math10183402 article EN cc-by Mathematics 2022-09-19

This study evaluates the limitations of gravity models in constructing regional association networks, using China’s interprovincial economic connections as a case study. Comparison between gravity-model-based simulated network and an actual reveals significant topological differences. The model overestimates influence larger, inward-oriented provinces fails to accurately represent external connections. Attempts refine with additional variables proved ineffective. Further theoretical analysis...

10.3390/math12203180 article EN cc-by Mathematics 2024-10-11

We consider (robust) inference in the context of a factor model for tensor-valued sequences. study consistency estimated common factors and loadings space when using estimators based on minimising quadratic loss functions. Building observation that such functions are adequate only if sufficiently many moments exist, we extend our results to case heavy-tailed distributions by considering Huber function, which uses an $L_{1}$ -norm weight outliers. show class is robust presence heavy tails,...

10.48550/arxiv.2303.18163 preprint EN other-oa arXiv (Cornell University) 2023-01-01

The generalized Logistic function that solves a first-order nonlinear ODE with an arbitrary positive power term of the dependent variable is introduced in this paper, by means which traveling wave solutions class evolution equations, including Fisher equation, Nagumo Burgers-Fisher Gardner KdV-Burgers and Benney are obtained successfully. In these particular cases, several important model PDEs mathematical physics also discovered.

10.3390/math10214017 article EN cc-by Mathematics 2022-10-29

A nonlinear transformation from the solution of linear KdV equation to Sharma-Tasso-Olver (STO) is derived out by using simplified homogeneous balance (SHB) method. According here, exact explicit initial (-boundary) value problem for STO can be constructed in terms equation. The latter obtained Fourier transformation.

10.3390/math10030441 article EN cc-by Mathematics 2022-01-29

The ionosphere is an important part of geospatial environment, in the community GNSS-based safety-critical systems, GNSS error caused by source second only to satellite ephemeris error. To ensure that difference between unknown real position and system-derived estimate has a very high degree confidence, it necessary determine or discontinuity signal. We sorted out existing ionospheric threat model confirmed effectiveness model. In addition, research status progress space environment...

10.1109/phm2022-london52454.2022.00052 article EN 2022 Prognostics and Health Management Conference (PHM-2022 London) 2022-05-01

10.1007/s11766-008-1886-1 article EN Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao 2008-12-01

The spatial, temporal and spectral emission characteristics of radiation generated from electron oscillations driven by an intense circularly polarized laser pulse have been investigated theoretically numerically using a single model. motion is highly relativistic head-on (180&deg; ) collision counter streaming can produce ultrashort zeptosecond along &theta; = 90&deg; merely few-cycle with fixed carrier-envelope phase offset &Phi;<sub>0</sub> 0 without controlling &phi;in [5] which defined...

10.1117/12.2533703 article EN 14th National Conference on Laser Technology and Optoelectronics (LTO 2019) 2019-05-17

The limitation of fault current in the DC system is an urgent but difficult problem. An active triggered liquid metal current-limiting method proposed based on external trigger circuit to ignite arc current-through channel realize limitation. Besides, test setup as well adopted verify its limiting property this new method. It indicates that can response quickly case a and ignites limit current. Finally, non-linear relationship between properties density mathematically revealed discussed.

10.1109/icepe-st.2019.8928700 article EN 2019-10-01
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