Part of the Mathematics Commons

Works by Sze-Man Ngai in Mathematics

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

Analysis on Fractals Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai
Sze-Man Ngai

Fractal Laplacians Defined by Iterated Function Systems With Overlaps and Their Spectral Asymptotics, Sze-Man Ngai
Sze-Man Ngai

Fractal Laplacians Defined by Iterated Function Systems With Overlaps, Sze-Man Ngai
Sze-Man Ngai

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

Fractal Laplace Operators on Bounded Open Subsets of Euclidean Spaces, Sze-Man Ngai
Sze-Man Ngai

Fractal Laplacians on an Interval, Sze-Man Ngai
Sze-Man Ngai

Eigenvalues and Eigenfunctions of a Class of Fractal Laplacians on the Unit Interval, Sze-Man Ngai
Sze-Man Ngai

Fractal Laplace Operators on Open Subsets of Rd, Sze-Man Ngai
Sze-Man Ngai

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

Hausdorff Dimension of the Boundaries of a Class of Self-Similar Sets, Sze-Man Ngai
Sze-Man Ngai

Topological Structure of Reptiles and Self-Affine Tiles, Sze-Man Ngai, Nhu Nguyen, Tai-Man Tang
Sze-Man Ngai

Iterated Function Systems of Generalized Finite Type, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

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

On a Class of Laplacians Defined by Fractal Measures, Sze-Man Ngai
Sze-Man Ngai

Spectral Dimension of Fractal Laplacians Defined by Iterated Function Systems With Overlaps, 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

Spectral Asymptotics of Some One-Dimensional Fractal Laplacians, Sze-Man Ngai
Sze-Man Ngai

Spectral Asymptotics of Fractal Laplace and Schrödinger Operators, Sze-Man Ngai
Sze-Man Ngai

Spectral Asymptotics of a Class of One-Dimensional Fractal Laplacians, Sze-Man Ngai
Sze-Man Ngai

Spectral Dimension of a Class of One-Dimensional Fractal Laplacians, Sze-Man Ngai
Sze-Man Ngai

2017

Spectral Asymptotics of Some One-Dimensional Fractal Laplacians, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

Boundary Theory on the Sierpinski Gasket and Hata Tree, Sze-Man Ngai
Sze-Man Ngai

Lq-Spectrum and Multifractal Formalism of a Class of Self-Similar Measures of General Finite Type, Sze-Man Ngai
Sze-Man Ngai

Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai
Sze-Man Ngai

Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai
Sze-Man Ngai

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

Spectral Asymptotics of One-Dimensional Fractal Laplacians in the Absence of Second-Order Identities, Sze-Man Ngai
Sze-Man Ngai

Laplace Operators Defined by Fractal Measures, Sze-Man Ngai
Sze-Man Ngai

The Multifractal Formalism and Spectral Asymptotics of Self-Similar Measures With Overlaps, Sze-Man Ngai
Sze-Man Ngai

Topological Properties of a Class of Self-Affine Tiles in R3, Sze-Man Ngai
Sze-Man Ngai

Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part I: Connectedness, Sze-Man Ngai
Sze-Man Ngai

Wave Propagation Speed on Fractals, Sze-Man Ngai
Sze-Man Ngai

Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part II: Homeomorphism to a Round 3-Ball, Sze-Man Ngai
Sze-Man Ngai

Wave Propagation Speed on Fractals, Sze-Man Ngai
Sze-Man Ngai

Spectral Asymptotics of Fractal Laplace and Schrödinger Operators, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Spectral Dimension of a Class of One-Dimensional Fractal Laplacians, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

Spectral Asymptotics of a Class of One-Dimensional Fractal Laplacians, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

2016

Spectral Asymptotics of One-Dimensional Fractal Laplacians in the Absence of Second-Order Identities, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

The Multifractal Formalism and Spectral Asymptotics of Self-Similar Measures With Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

Eigenvalue Estimates of Laplacians Defined by Fractal Measures, Sze-Man Ngai
Sze-Man Ngai

Wave Propagation Speed on Fractals, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

Wave Propagation Speed on Fractals, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

Lq-Spectrum and Multifractal Formalism of a Class of Self-Similar Measures of General Finite Type, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Lq-Spectrum and Multifractal Formalism of a Class of Self-Similar Measures of General Nite Type, 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

Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part I: Connectedness, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Topological Properties of a Class of Three Dimensional Self-Ane Tiles, Part I: Connectedness, Sze-Man Ngai
Sze-Man Ngai

Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part II: Homeomorphism to a Round 3-Ball, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Topological Properties of a Class of Three Dimensional Self-Ane Tiles, Part II: Homeomorphism to a Round 3-Ball, Sze-Man Ngai
Sze-Man Ngai

Topological Properties of a Class of Self-Affine Tiles in R3, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

Eigenvalue Estimates of Laplacians Defined by Fractal Measures, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

PDF

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

Laplace Operators Defined by Fractal Measures, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Laplace Operators Defined by Fractal Measures, Sze-Man Ngai
Sze-Man Ngai

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

Boundary Theory, Outer Approximation, and Differential Equations on Fractals, Sze-Man Ngai
Sze-Man Ngai

2012

Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai, Ji-Xi Tong
Sze-Man Ngai

Infinite Iterated Function Systems With Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Infinite Iterated Function Systems with Overlaps 1, Sze-Man Ngai
Sze-Man Ngai

Boundary Theory on the Sierpinski Gasket and Hata Tree, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Boundary Theory on the Sierpinski Gasket and Hata Tree, Sze-Man Ngai
Sze-Man Ngai

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

Structure of Fractal Tiles and Embeddings of Fractal Sets, Da-Wen Deng, Sze-Man Ngai
Sze-Man Ngai

Partial Differential Equations on Fractals, Sze-Man Ngai
Sze-Man Ngai

2011

Boundary Theory on the Sierpinski Gasket and Hata Tree, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Boundary Theory on the Sierpinski Gasket and Hata Tree, Sze-Man Ngai
Sze-Man Ngai

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

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

A Class of One-Dimensional Wave Equations Defined by IFSs with Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

A Class of One-Dimensional Wave Equations Defined by IFSs with Overlaps, Sze-Man Ngai
Sze-Man Ngai

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

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

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

PDF

Boundary Theory and Analysis on Fractals, Sze-Man Ngai, Ka-Sing Lau
Sze-Man Ngai

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

Fractal Differential Equations Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai, John Chan, Jie Chen, Jiaxin Hu, Ka-Sing Lau
Department of Mathematical Sciences Faculty Presentations

Fractal Differential Equations Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai, John Fun-Choi Chan, Jie Chen, Jiaxin Hu, Ka-Sing Lau
Sze-Man Ngai

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

Fractal Laplacians Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai, John Chan, Jie Chen, Jiaxin Hu, Ka-Sing Lau
Department of Mathematical Sciences Faculty Presentations

Fractal Laplacians Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai, John Fun-Choi Chan, Jie Chen, Jiaxin Hu, Ka-Sing Lau
Sze-Man Ngai

Martin Boundary and Differential Equations on Fractals, Sze-Man Ngai
Sze-Man Ngai

2009

Spectral Asymptotics of Fractal Laplacians Defined by IFSs with Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Spectral Asymptotics of Fractal Laplacians Defined by IFSs with Overlaps, Sze-Man Ngai
Sze-Man Ngai

Conformal Iterated Function Systems with Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Conformal Iterated Function Systems with Overlaps, Sze-Man Ngai
Sze-Man Ngai

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

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

2008

Fractal Laplacians Defined by Iterated Function Systems With Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

Fractal Laplacians Defined by Iterated Function Systems With Overlaps and Their Spectral Asymptotics, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Analysis on Fractals Defined by Iterated Function Systems with Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

2007

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

2006

Spectral Dimension of Fractal Laplacians Defined by Iterated Function Systems With Overlaps, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

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

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

On a Class of Laplacians Defined by Fractal Measures, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

PDF

Fractal Laplace Operators on Bounded Open Subsets of Euclidean Spaces, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Fractal Laplace Operators on Open Subsets of Rd, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

Iterated Function Systems of Generalized Finite Type, Ka-Sing Lau, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

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

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

Hausdorff Dimension of the Boundaries of a Class of Self-Similar Sets, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

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

2002

Topological Structure of Reptiles and Self-Affine Tiles, Sze-Man Ngai, Nhu Nguyen, Tai-Man Tang
Department of Mathematical Sciences Faculty Presentations

Fractal Laplacians on an Interval, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

Eigenvalues and Eigenfunctions of a Class of Fractal Laplacians on the Unit Interval, Sze-Man Ngai
Department of Mathematical Sciences Faculty Presentations

2001

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

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

2000

On 2-Reptiles in the Plane, Sze-Man Ngai, Victor F. Sirvent, J.J.P. Veerman, Yang Wang
Sze-Man Ngai

Iterated Function Systems With Overlaps, Ai-Hua Fan, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

Second-Order Self-Similar Identities and Multifractal Decompositions, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

1999

Absolute Continuity of Self-Similar Measures, Sze-Man Ngai
Sze-Man Ngai

Hausdorff Dimension of Overlapping Self-Similar Sets, Sze-Man Ngai
Sze-Man Ngai

Dilation Equations and Iterated Function Systems With Overlaps, Sze-Man Ngai
Sze-Man Ngai

Lq-Spectrum of Bernoulli Convolutions Associated With P. V. Numbers, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

Hausdorff Dimension of Overlapping Self-Similar Fractals, Sze-Man Ngai
Sze-Man Ngai

Multifractal Measures and a Weak Separation Condition, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

1998

Self-Similarity in Fractals, Wavelets and Tilings, Sze-Man Ngai
Sze-Man Ngai

Second-Order Self-Similar Identities, Sze-Man Ngai
Sze-Man Ngai

Multifractal Formalism for Overlapping Self-Similar Measures, Sze-Man Ngai
Sze-Man Ngai

Lq-Spectrum of the Bernoulli Convolution Associated With the Golden Ratio, Ka-Sing Lau, Sze-Man Ngai
Sze-Man Ngai

1997

Using Mathematical Software in Education and Research, Sze-Man Ngai
Sze-Man Ngai

Some Applications of the Renewal Theorem in Fractal Geometry, Sze-Man Ngai
Sze-Man Ngai

A Dimension Result Arising From the Lq-Spectrum of a Measure, Sze-Man Ngai
Sze-Man Ngai

Dilation Equations With Scaling Factor Equal to the Golden Ratio, Sze-Man Ngai
Sze-Man Ngai

Multifractal Decomposition for a Family of Overlapping Self-Similar Measures, Sze-Man Ngai
Sze-Man Ngai

Multifractal Decomposition for a Family of Overlapping Self-Similar Measures, Sze-Man Ngai
Sze-Man Ngai

1996

Multifractal Formalism and a Dimension Formula, Sze-Man Ngai
Sze-Man Ngai

1994

Lq-Dimension of the Bernoulli Convolution Associated With the P.V. Numbers, Sze-Man Ngai
Sze-Man Ngai