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> Emeritus Professor Ka Sing LAU
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Professor LAU Ka Sing
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Position and Department
Emeritus Professor
,
Department of Mathematics
CUHK Research Outputs
1 of 2
A Counterexample to the “Hot Spots” Conjecture on Nested Fractals
(
2018
)
Cauchy transforms of self-similar measures: Starlikeness and univalence
(
2017
)
Classification of tile digit sets as product-forms
(
2017
)
On hyperbolic graphs induced by iterated function systems
(
2017
)
Random walks and induced Dirichlet forms on self-similar sets
(
2017
)
Structure of the class of iterated function systems that generate the same self-similar set
(
2017
)
ON TANGENTIAL SLIT SOLUTION OF THE LOEWNER EQUATION
(
2016
)
Denker–Sato type Markov chains on self-similar sets
(
2015
)
Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces
(
2015
)
Sierpinski-typespectral self-similar measures
(
2015
)
Spectrality of a class of infinite convolutions
(
2015
)
Spectrality of Self-Similar Tiles
(
2015
)
Boundary theory on the Hata tree
(
2014
)
Estimates of heat kernels for non-local regular Dirichlet forms
(
2014
)
On spectral N-Bernoulli measures
(
2014
)
Cantor boundary behavior of analytic functions
(
2013
)
Exponential spectra in L-2 (mu)
(
2013
)
Lipschitz equivalence of self-similar sets and hyperbolic boundaries
(
2013
)
On the equivalence of homogeneous iterated function systems
(
2013
)
Separation Conditions for Iterated Function Systems with Overlaps
(
2013
)
Spectral structure of digit sets of self-similar tiles on R1
(
2013
)
Topological structure of fractal squares
(
2013
)
Martin boundary and exit space on the Sierpinski gasket
(
2012
)
Post-critically finite fractal and martin boundary
(
2012
)
Connectedness of a class of planar self-affine tiles
(
2011
)
On the Weyl-Heisenberg frames generated by simple functions
(
2011
)
Cantor Boundary Behavior of Analytic Functions (Book Name: Recent developments in fractals and related fields)
(
2010
)
Comparison inequalities for heat semigroups and heat kernels on metric measure spaces
(
2010
)
Heat Kernels on Metric Spaces with Doubling Measure
(
2009
)
Multifractal formalism for self-similar measures with weak separation condition
(
2009
)
Self-similar Sets as Hyperbolic Boundaries
(
2009
)
Separation conditions for conformal iterated function systems
(
2009
)
Obtaining upper bounds of heat kernels from lower bounds
(
2008
)
Open set condition and post-critically finite self-similar sets
(
2008
)
Self-affine measures and vector-valued representations
(
2008
)
Spectral property of the Bernoulli convolutions
(
2008
)
The spectrum of Poincare recurrence
(
2008
)
Third International Congress of Chinese Mathematicians: Pt. 1 & 2. (AMS/IP Studies in Advanced Mathematics)
(
2008
)
A generalized finite type condition for iterated function systems
(
2007
)
Disklikeness of planar self-affine tiles
(
2007
)
Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces
(
2006
)
Laplace operators related to self-similar measures on R-d
(
2006
)
Some exceptional phenomena in multifractal formalism: Part II
(
2005
)
Some exceptional phenomena in multifractal formalism: Part I
(
2005
)
An integral related to the Cauchy transform on the Sierpinski gasket
(
2004
)
Chaos game representation of protein sequences based on the detailed HP model and their multifractal and correlation analyses
(
2004
)
Characterization of tile digit sets with prime determinants
(
2004
)
Differentiability of Pressure Functions for Products of Non-Negative Matrices
(
2004
)
Expanding polynomials and connectedness of self-affine tiles
(
2004
)
Fractal analysis of measure representation of large proteins based on the detailed HP model
(
2004
)
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