Spectral Asymptotics of Fractal Laplacians Defined by IFSs with Overlaps

Sze-Man Ngai

Spectral Asymptotics of Fractal Laplacians Defined by IFSs with Overlaps

Sze-Man Ngai

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

We study the distribution of eigenvalues of some Laplacians defined by fractal measures. We focus on some well-known measures defined by iterated function systems with overlaps.

Original language	American English
State	Published - Oct 17 2009
Event	Southeastern-Atlantic Regional Conference on Diﬀerential Equations (SEARCDE) - Macon, GA Duration: Oct 17 2009 → …

Conference

Conference	Southeastern-Atlantic Regional Conference on Diﬀerential Equations (SEARCDE)
Period	10/17/09 → …

Disciplines

Mathematics

Keywords

Fractal Laplacians
IFSs
Iterated function systems

Cite this

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title = "Spectral Asymptotics of Fractal Laplacians Defined by IFSs with Overlaps",

abstract = " We study the distribution of eigenvalues of some Laplacians defined by fractal measures. We focus on some well-known measures defined by iterated function systems with overlaps.",

keywords = "Fractal Laplacians, IFSs, Iterated function systems",

author = "Sze-Man Ngai",

year = "2009",

month = oct,

day = "17",

language = "American English",

note = "Southeastern-Atlantic Regional Conference on Diﬀerential Equations (SEARCDE) ; Conference date: 17-10-2009",

}

TY - CONF

T1 - Spectral Asymptotics of Fractal Laplacians Defined by IFSs with Overlaps

AU - Ngai, Sze-Man

PY - 2009/10/17

Y1 - 2009/10/17

N2 - We study the distribution of eigenvalues of some Laplacians defined by fractal measures. We focus on some well-known measures defined by iterated function systems with overlaps.

AB - We study the distribution of eigenvalues of some Laplacians defined by fractal measures. We focus on some well-known measures defined by iterated function systems with overlaps.

KW - Fractal Laplacians

KW - IFSs

KW - Iterated function systems

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/351

M3 - Presentation

T2 - Southeastern-Atlantic Regional Conference on Diﬀerential Equations (SEARCDE)

Y2 - 17 October 2009

ER -

Spectral Asymptotics of Fractal Laplacians Defined by IFSs with Overlaps

Abstract

Conference

Disciplines

Keywords

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