Emeritus Professor Ka Sing LAU - 香港中文大學學術研究文庫

劉家成教授

個人資料

職位/學系

榮休講座教授, 數學系

中大研究成果

1/2

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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