Topological Properties of a Class of Self-Affine Tiles in R3
Department of Mathematical Sciences Faculty Publications
Part of the Physical Sciences and Mathematics Commons
Works by Sze-Man Ngai in Physical Sciences and Mathematics
2018
Fractal Laplacians Defined by Iterated Function Systems With Overlaps and Their Spectral Asymptotics
Sze-Man Ngai
Spectral Dimension of Fractal Laplacians Defined by Iterated Function Systems With Overlaps
Sze-Man Ngai
Differentiability of Lq-Spectrum and Multifractal Decomposition by Using Infinite Graph-Directed IFSs
Sze-Man Ngai
2017
Lq-Spectrum and Multifractal Formalism of a Class of Self-Similar Measures of General Finite Type
Sze-Man Ngai
Spectral Asymptotics of One-Dimensional Fractal Laplacians in the Absence of Second-Order Identities
Sze-Man Ngai
The Multifractal Formalism and Spectral Asymptotics of Self-Similar Measures With Overlaps
Sze-Man Ngai
Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part I: Connectedness
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
Spectral Asymptotics of Fractal Laplace and Schrödinger Operators
Department of Mathematical Sciences Faculty Presentations
2016
Connectedness of a Class of Two-Dimensional Self-Affine Tiles Associated with Triangular Matrices
Sze-Man Ngai
2015
Lq-Spectrum and Multifractal Formalism of a Class of Self-Similar Measures of General Finite Type
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
Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part I: Connectedness
Department of Mathematical Sciences Faculty Presentations
Topological Properties of a Class of Three Dimensional Self-Ane Tiles, Part I: Connectedness
Sze-Man Ngai
Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part II: Homeomorphism to a Round 3-Ball
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
2014
Graph-Directed Iterated Function Systems Satisfying the Generalized Finite Type Condition
Sze-Man Ngai
Spectral Asymptotics of Laplacians Associated to One-Dimensional Iterated Function Systems with Overlaps
Sze-Man Ngai
Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians Defined by Iterated Function Systems with Overlaps
Sze-Man Ngai
2013
Laplace Operators Defined by Fractal Measures
Department of Mathematical Sciences Faculty Presentations
2012
Infinite Iterated Function Systems With Overlaps
Department of Mathematical Sciences Faculty Presentations
Boundary Theory on the Sierpinski Gasket and Hata Tree
Department of Mathematical Sciences Faculty Presentations
2011
Boundary Theory on the Sierpinski Gasket and Hata Tree
Department of Mathematical Sciences Faculty Presentations
A Class of One-Dimensional Wave Equations Defined by IFSs with Overlaps
Department of Mathematical Sciences Faculty Presentations
2010
2009
2008
Fractal Laplacians Defined by Iterated Function Systems With Overlaps
Department of Mathematical Sciences Faculty Presentations
Fractal Laplacians Defined by Iterated Function Systems With Overlaps and Their Spectral Asymptotics
Department of Mathematical Sciences Faculty Presentations
2007
2006
Spectral Dimension of Fractal Laplacians Defined by Iterated Function Systems With Overlaps
Department of Mathematical Sciences Faculty Presentations
2005
On a Class of Laplacians Defined by Fractal Measures
Department of Mathematical Sciences Faculty Presentations
Fractal Laplace Operators on Bounded Open Subsets of Euclidean Spaces
Department of Mathematical Sciences Faculty Presentations
Fractal Laplace Operators on Open Subsets of Rd
Department of Mathematical Sciences Faculty Presentations
2004
2003
Hausdorff Dimension of the Boundaries of a Class of Self-Similar Sets
Department of Mathematical Sciences Faculty Presentations
2002
Eigenvalues and Eigenfunctions of a Class of Fractal Laplacians on the Unit Interval
Department of Mathematical Sciences Faculty Presentations