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Mathematics

D-Index
44
Citations
6471
World Ranking
1612
National Ranking
86

Overview

Ka-Sing Lau is affiliated with the Chinese University of Hong Kong in China. Their research is primarily focused in the field of Mathematics, with a concentration on subfields including Mathematical Physics, Geometry and Topology, Applied Mathematics, Statistical and Nonlinear Physics, and Numerical Analysis.

Their work spans multiple topics, particularly within Mathematical Dynamics and Fractals, advanced mathematical theories, and Geometry and complex manifolds. Additionally, their research addresses Quantum chaos and dynamical systems, Advanced Harmonic Analysis, Mathematical Approximation and Integration, as well as Stochastic processes and statistical mechanics.

Frequent co-authors collaborating with Ka-Sing Lau include Qingsong Gu, Shi-Lei Kong, Xiangyang Wang, Hua Qiu, and Ting-Kam Leonard Wong.

Publication venues for their recent work include:

  • Annales Academiae Scientiarum Fennicae Mathematica
  • Advances in Mathematics
  • arXiv (Cornell University)
  • Potential Analysis
  • Science China Mathematics

Recent papers by Ka-Sing Lau are as follows:

  • Dirichlet forms and convergence of Besov norms on self-similar sets, 2020, Annales Academiae Scientiarum Fennicae Mathematica
  • Gromov hyperbolic graphs arising from iterations, 2021, Advances in Mathematics
  • Gromov Hyperbolic Graphs Arising From Iterations, 2020, arXiv (Cornell University)
  • Homogeneous Dirichlet Forms on p.c.f. Fractals and their Spectral Asymptotics, 2022, Potential Analysis
  • Geodesic metrics on fractals and applications to heat kernel estimates, 2023, Science China Mathematics

Best Publications

  • Multifractal Measures and a Weak Separation Condition

    Ka-Sing Lau;Ka-Sing Lau;Sze-Man Ngai

  • Heat kernels on metric measure spaces and an application to semilinear elliptic equations

    Alexander Grigor’yan;Jiaxin Hu;Ka-Sing Lau

  • On the geometry of spheres in normed linear spaces

    Ji Gao;Ka-Sing Lau

  • On two classes of Banach spaces with uniform normal structure

    Ji Gao;Ka-Sing Lau

  • ON SPECTRAL N-BERNOULLI MEASURES

    Xin-Rong Dai;Xing-Gang He;Ka-Sing Lau

  • Spectral property of the Bernoulli convolutions

    Tian-You Hu;Ka-Sing Lau

  • Some new classes of Hardy spaces

    Yong-Zhuo Chen;Ka-Sing Lau

  • Chaos game representation of protein sequences based on the detailed HP model and their multifractal and correlation analyses.

    Zu-Guo Yu;Zu-Guo Yu;Vo V. Anh;Ka-Sing Lau

  • Measure representation and multifractal analysis of complete genomes

    Zu-Guo Yu;Zu-Guo Yu;Vo Anh;Ka-Sing Lau

  • On the nonlinear diffusion equation of Kolmogorov, Petrovsky, and Piscounov

    Ka-Sing Lau

  • The pressure function for products of non-negative matrices

    De-Jun Feng;Ka-Sing Lau

  • Multifractal and correlation analyses of protein sequences from complete genomes

    Zu-Guo Yu;Zu-Guo Yu;Vo V. Anh;Ka-Sing Lau

  • Iterated Function System and Ruelle Operator

    Ai Hua Fan;Ka-Sing Lau;Ka-Sing Lau

  • Ergodic Limits on the Conformal Repellers

    De-Jun Feng;Ka-Sing Lau;Jun Wu

  • Relationships between different dimensions of a measure

    Ai-Hua Fan;Ka-Sing Lau;Hui Rao

  • Exponential spectra in L2(μ)

    Xing-Gang He;Chun-Kit Lai;Ka-Sing Lau

  • Fractal dimensions and singularities of the Weierstrass type functions

    Tian You Hu;Ka-Sing Lau

  • Functional equations in probability theory

    B. Ramachandran;Ka-Sing Lau

  • Multifractal formalism for self-similar measures with weak separation condition

    De-Jun Feng;Ka-Sing Lau

  • ITERATED FUNCTION SYSTEMS WITH OVERLAPS AND SELF-SIMILAR MEASURES

    Ka-Sing Lau;Sze-Man Ngai;Hui Rao

  • Step-sizes for the gradient method

    Ka-Sing Lau;Zhou-Ping Xin;Shing-Tung Yau

  • On generalized harmonic analysis

    Ka Sing Lau;Jonathan K. Lee

Frequent Co-Authors

Vo Anh
Vo Anh Queensland University of Technology
Alexander Grigor'yan
Alexander Grigor'yan Bielefeld University
C. Radhakrishna Rao
C. Radhakrishna Rao University at Buffalo, State University of New York

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