Part of the Education Commons

Works by Sze-Man Ngai in Education

2018

Topological Properties of a Class of Self-Affine Tiles in R3, Guotai Deng, Chuntai Liu, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

Iterated Function Systems with Overlaps and Self-Similar Measures, Ka-Sing Lau, Sze-Man Ngai, Hui Rao
Sze-Man Ngai

Vertices of Self-Similar Tiles, Da-Wen Deng, Sze-Man Ngai
Sze-Man Ngai

Reptiles with Holes, Francis Jordan, Sze-Man Ngai
Sze-Man Ngai

Hausdorff Dimension of Self-Similar Sets with Overlaps, Sze-Man Ngai, Yang Wang
Sze-Man Ngai

Dimensions of the Boundaries of Self-Similar Sets, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

A Technique in the Topology of Connected Self-Similar Tiles, Sze-Man Ngai, Tai-Man Tang
Sze-Man Ngai

Self-Similar Measures Associated to {IFS} with Non-Uniform Contraction Ratios, Sze-Man Ngai, Yang Wang
Sze-Man Ngai

Fractal Laplacians on the Unit Interval, Erik J. Bird, Sze-Man Ngai, Alexander Teplyaev
Sze-Man Ngai

Graph-Directed Iterated Function Systems with Overlaps, Manav Das, Sze-Man Ngai
Sze-Man Ngai

A Generalized Finite Type Condition for Iterated Function Systems, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

Topology of Connected Self-Similar Tiles in the Plane With Disconnected Interiors, Sze-Man Ngai, Tai-Man Tang
Sze-Man Ngai

The Heighway Dragon Revisited, Sze-Man Ngai, Nhu Nguyen
Sze-Man Ngai

Laplace Operators Related to Self-Similar Measures on Rd, Jiaxin Hu, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

Differentiability of Lq-Spectrum and Multifractal Decomposition by Using Infinite Graph-Directed IFSs, Guotai Deng, Sze-Man Ngai
Sze-Man Ngai

Topological Properties of a Class of Self-Affine Tiles in R3, Guotai Deng, Chuntai Liu, Sze-Man Ngai
Sze-Man Ngai

2017

Dimensions of the Boundary of a Graph-Directed Self-Similar Set With Overlaps, Guotai Deng, Chuntai Liu, Sze-Man Ngai
Sze-Man Ngai

Eigenvalue Estimates for Laplacians on Measure Spaces, Da-Wen Deng, Sze-Man Ngai
Sze-Man Ngai

Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Separation Conditions for Conformal Iterated Function Systems, Ka-Sing Lau, Sze-Man Ngai, Xiang-Yang Wang
Sze-Man Ngai

Differentiability of Lq-Spectrum and Multifractal Decomposition by Using Infinite Graph-Directed IFSs, Guotai Deng, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2016

One-Dimensional Wave Equations Defined by Fractal Laplacians, John Fun-Choi Chan, Sze-Man Ngai, Alexander Teplyaev
Sze-Man Ngai

Connectedness of a Class of Two-Dimensional Self-Affine Tiles Associated with Triangular Matrices, Jingcheng Liu, Sze-Man Ngai, Juan Tao
Sze-Man Ngai

Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai, Ji-Xi Tong
Department of Mathematical Sciences Faculty Publications

Connectedness of a Class of Two-Dimensional Self-Affine Tiles Associated with Triangular Matrices, Jingcheng Liu, Sze-Man Ngai, Juan Tao
Department of Mathematical Sciences Faculty Publications

Dimensions of the Boundary of a Graph-Directed Self-Similar Set With Overlaps, Guotai Deng, Chuntai Liu, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2015

One-Dimensional Wave Equations Defined by Fractal Laplacians, John Fun-Choi Chan, Sze-Man Ngai, Alexander Teplyaev
Department of Mathematical Sciences Faculty Publications

Dimensions of Fractals Generated by Bi-Lipschitz Maps, Qi-Rong Deng, Sze-Man Ngai
Sze-Man Ngai

Fractal Tiles and Quasidisks, Da-Wen Deng, Sze-Man Ngai
Sze-Man Ngai

Eigenvalue Estimates for Laplacians on Measure Spaces, Da-Wen Deng, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

Fractal Tiles and Quasidisks, Da-Wen Deng, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2014

Graph-Directed Iterated Function Systems Satisfying the Generalized Finite Type Condition, Sze-Man Ngai, Fei Wang, Xinhan Dong
Sze-Man Ngai

Structure of Planar Integral Self-Affine Tilings, Da-Wen Deng, Tao Jiang, Sze-Man Ngai
Sze-Man Ngai

Multifractal Formalism for Self-Affine Measures with Overlaps, Qi-Rong Deng, Sze-Man Ngai
Sze-Man Ngai

Multifractal Structure of Noncompactly Supported Measures, Sze-Man Ngai
Sze-Man Ngai

Boundary Theory on the Hata Tree, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

Spectral Asymptotics of Laplacians Associated to One-Dimensional Iterated Function Systems with Overlaps, Sze-Man Ngai
Sze-Man Ngai

Martin Boundary and Exit Space on the Sierpinski Gasket, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

Singularity and L2-Dimension of Self-Similar Measures, Sze-Man Ngai
Sze-Man Ngai

Separation Conditions for Iterated Function Systems with Overlaps, Qi-Rong Deng, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians Defined by Iterated Function Systems with Overlaps, Jie Chen, Sze-Man Ngai
Sze-Man Ngai

Conformal Iterated Function Systems with Overlaps, Qi-Rong Deng, Sze-Man Ngai
Sze-Man Ngai

Dimensions of Fractals Generated by Bi-Lipschitz Maps, Qi-Rong Deng, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

Boundary Theory on the Hata Tree, Ka-Sing Lau, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2013

Separation Conditions for Iterated Function Systems with Overlaps, Qi-Rong Deng, Ka-Sing Lau, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2012

Structure of Planar Integral Self-Affine Tilings, Da-Wen Deng, Tao Jiang, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

Singularity and L2-Dimension of Self-Similar Measures, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

Martin Boundary and Exit Space on the Sierpinski Gasket, Ka-Sing Lau, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2011

Spectral Asymptotics of Laplacians Associated to One-Dimensional Iterated Function Systems with Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

PDF

Conformal Iterated Function Systems with Overlaps, Qi-Rong Deng, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2010

Graph-Directed Iterated Function Systems Satisfying the Generalized Finite Type Condition, Sze-Man Ngai, Fei Wang, Xinhan Dong
Department of Mathematical Sciences Faculty Publications

Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians Defined by Iterated Function Systems with Overlaps, Jie Chen, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2009

Multifractal Formalism for Self-Affine Measures with Overlaps, Qi-Rong Deng, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

Separation Conditions for Conformal Iterated Function Systems, Ka-Sing Lau, Sze-Man Ngai, Xiang-Yang Wang
Department of Mathematical Sciences Faculty Publications

2008

Multifractal Structure of Noncompactly Supported Measures, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2007

A Generalized Finite Type Condition for Iterated Function Systems, Ka-Sing Lau, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2006

Laplace Operators Related to Self-Similar Measures on Rd, Jiaxin Hu, Ka-Sing Lau, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2005

Reptiles with Holes, Francis Jordan, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

Vertices of Self-Similar Tiles, Da-Wen Deng, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

PDF

Self-Similar Measures Associated to {IFS} with Non-Uniform Contraction Ratios, Sze-Man Ngai, Yang Wang
Department of Mathematical Sciences Faculty Publications

PDF

Topology of Connected Self-Similar Tiles in the Plane With Disconnected Interiors, Sze-Man Ngai, Tai-Man Tang
Department of Mathematical Sciences Faculty Publications

2004

A Technique in the Topology of Connected Self-Similar Tiles, Sze-Man Ngai, Tai-Man Tang
Department of Mathematical Sciences Faculty Publications

Graph-Directed Iterated Function Systems with Overlaps, Manav Das, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2003

The Heighway Dragon Revisited, Sze-Man Ngai, Nhu Nguyen
Department of Mathematical Sciences Faculty Publications

Fractal Laplacians on the Unit Interval, Erik J. Bird, Sze-Man Ngai, Alexander Teplyaev
Department of Mathematical Sciences Faculty Publications

Dimensions of the Boundaries of Self-Similar Sets, Ka-Sing Lau, Sze-Man Ngai
Department of Mathematical Sciences Faculty Publications

2001

Hausdorff Dimension of Self-Similar Sets with Overlaps, Sze-Man Ngai, Yang Wang
Department of Mathematical Sciences Faculty Publications

Iterated Function Systems with Overlaps and Self-Similar Measures, Ka-Sing Lau, Sze-Man Ngai, Hui Rao
Department of Mathematical Sciences Faculty Publications