What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Geometry
His main research concerns Combinatorics, Mathematical analysis, Multifractal system, Measure and Open set.
In general Combinatorics study, his work on Integer often relates to the realm of Girth, thereby connecting several areas of interest.
His Mathematical analysis research includes elements of Pure mathematics and Brownian motion.
Ka-Sing Lau has included themes like Discrete mathematics and Singularity in his Pure mathematics study.
His Measure study combines topics in areas such as Space, Representation, Fourier transform and Spectrum.
His Open set research is multidisciplinary, incorporating elements of Class, Dilation, Iterated function system and Self-similarity.
His most cited work include:
- Multifractal Measures and a Weak Separation Condition (194 citations)
- Multifractal Measures and a Weak Separation Condition (194 citations)
- Heat kernels on metric measure spaces and an application to semilinear elliptic equations (121 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Combinatorics, Discrete mathematics, Mathematical analysis, Pure mathematics and Measure.
His research integrates issues of Sierpinski triangle, Fourier transform and Affine transformation in his study of Combinatorics.
The various areas that Ka-Sing Lau examines in his Discrete mathematics study include Orthonormal basis, Class, Bounded function, Convolution and Iterated function system.
His research in Bounded function intersects with topics in Open set and Lipschitz continuity.
His Mathematical analysis study incorporates themes from Function and Scaling.
He has researched Measure in several fields, including Besov space, Multifractal system, Space, Series and Spectrum.
He most often published in these fields:
- Combinatorics (59.62%)
- Discrete mathematics (42.31%)
- Mathematical analysis (29.49%)
What were the highlights of his more recent work (between 2014-2020)?
- Combinatorics (59.62%)
- Discrete mathematics (42.31%)
- Dirichlet form (8.33%)
In recent papers he was focusing on the following fields of study:
Ka-Sing Lau mostly deals with Combinatorics, Discrete mathematics, Dirichlet form, Sierpinski triangle and Graph.
His work carried out in the field of Combinatorics brings together such families of science as Spectral set, Matrix, Random walk and Affine transformation.
His Discrete mathematics research is multidisciplinary, incorporating perspectives in Class and Measure.
His work deals with themes such as Iterated function system and Bounded function, which intersect with Graph.
His study looks at the intersection of Besov space and topics like Heat kernel with Pure mathematics.
Ka-Sing Lau combines subjects such as Zero and Mathematical analysis with his study of Type.
Between 2014 and 2020, his most popular works were:
- Spectrality of a class of infinite convolutions (45 citations)
- Sierpinski-type spectral self-similar measures☆ (33 citations)
- Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces (23 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Geometry
Ka-Sing Lau mainly focuses on Combinatorics, Discrete mathematics, Integer, Product and Class.
His Hausdorff dimension study in the realm of Combinatorics interacts with subjects such as Dirichlet form.
His Discrete mathematics study combines topics in areas such as Hyperbolic group, Stable manifold, Relatively hyperbolic group, Bounded function and Lipschitz continuity.
His study in Integer is interdisciplinary in nature, drawing from both Measure and Convolution.
The Product study combines topics in areas such as Orthogonality, Conjecture, Lebesgue measure, Modulo and Spectral set.
Ka-Sing Lau interconnects Open set, Energy and Critical exponent in the investigation of issues within Random walk.
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