SPECTRAL GAP OF THE DISCRETE LAPLACIAN ON TRIANGULATIONS - Archive ouverte HAL Access content directly
Journal Articles Journal of Mathematical Physics Year : 2020

SPECTRAL GAP OF THE DISCRETE LAPLACIAN ON TRIANGULATIONS

Trou spectral du Laplacien discret des triangulations

Abstract

Our goal in this paper is to find an estimate for the spectral gap of the Laplacian on a 2-simplicial complex consisting on a triangulation of a complete graph. An upper estimate is given by generalizing the Cheeger constant. The lower estimate is obtained from the first non-zero eigenvalue of the discrete Laplacian acting on the functions of certain sub-graphs.
Fichier principal
Vignette du fichier
Y-CHEBBI.24.06.2019.pdf (575.33 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02162835 , version 1 (11-07-2019)

Identifiers

Cite

Yassin Chebbi. SPECTRAL GAP OF THE DISCRETE LAPLACIAN ON TRIANGULATIONS. Journal of Mathematical Physics, 2020. ⟨hal-02162835⟩
165 View
109 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More