Fractal Laplacians Defined by Iterated Function Systems with Overlaps

Sze-Man Ngai; John Fun-Choi Chan; Jie Chen; Jiaxin Hu; Ka-Sing Lau

Fractal Laplacians Defined by Iterated Function Systems with Overlaps

Sze-Man Ngai, John Fun-Choi Chan, Jie Chen, Jiaxin Hu, Ka-Sing Lau

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

<div class="line" id="line-29"> We study spectral asymptotics of a class of Laplacians de&filig;ned by iterated function systems with overlaps. We also study the computation of the eigenfunctions and eigenvalues of the Laplacians. Part of this work is joint with J. Chan, J. Chen, J. Hu, and K.-S. Lau.</div>

Original language	American English
State	Published - Apr 10 2010
Event	Spring Central Sectional Meeting of the American Mathematical Society (AMS) - Duration: Mar 13 2015 → …

Conference

Conference	Spring Central Sectional Meeting of the American Mathematical Society (AMS)
Period	03/13/15 → …

Disciplines

Mathematics

Keywords

Eigenfunctions
Fractal Laplacians

Cite this

@conference{b24a3969a7bb43a6bb5b019543c4b012,

title = "Fractal Laplacians Defined by Iterated Function Systems with Overlaps",

abstract = " We study spectral asymptotics of a class of Laplacians de&filig;ned by iterated function systems with overlaps. We also study the computation of the eigenfunctions and eigenvalues of the Laplacians. Part of this work is joint with J. Chan, J. Chen, J. Hu, and K.-S. Lau.",

keywords = "Eigenfunctions, Fractal Laplacians",

author = "Sze-Man Ngai and Chan, {John Fun-Choi} and Jie Chen and Jiaxin Hu and Ka-Sing Lau",

year = "2010",

month = apr,

day = "10",

language = "American English",

note = "Spring Central Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 13-03-2015",

}

TY - CONF

T1 - Fractal Laplacians Defined by Iterated Function Systems with Overlaps

AU - Ngai, Sze-Man

AU - Chan, John Fun-Choi

AU - Chen, Jie

AU - Hu, Jiaxin

AU - Lau, Ka-Sing

PY - 2010/4/10

Y1 - 2010/4/10

N2 - We study spectral asymptotics of a class of Laplacians de&filig;ned by iterated function systems with overlaps. We also study the computation of the eigenfunctions and eigenvalues of the Laplacians. Part of this work is joint with J. Chan, J. Chen, J. Hu, and K.-S. Lau.

AB - We study spectral asymptotics of a class of Laplacians de&filig;ned by iterated function systems with overlaps. We also study the computation of the eigenfunctions and eigenvalues of the Laplacians. Part of this work is joint with J. Chan, J. Chen, J. Hu, and K.-S. Lau.

KW - Eigenfunctions

KW - Fractal Laplacians

UR - http://www.ams.org/amsmtgs/2166_abstracts/1058-28-112.pdf

M3 - Presentation

T2 - Spring Central Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 13 March 2015

ER -

Fractal Laplacians Defined by Iterated Function Systems with Overlaps

Abstract

Conference

Disciplines

Keywords

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