In this paper, we find bounds on the smallest or base eigenvalue for the Laplacian on the noncompact surfaces within a certain parameterized class. We attempt to fit a curve to the resulting data. These eigenvalues are related to the Hausdorff dimension of certain fractals and to some problems in number theory.
Publié le : 2006-05-14
Classification:
Minimal eigenvalue,
base eigenvalue,
Laplacian,
Hausdorff dimension,
Hecke group,
Schottky group,
35P15,
37D05,
37F35
@article{1150476901,
author = {Baragar, Arthur},
title = {Fractals and the Base Eigenvalue of the Laplacian on Certain Noncompact Surfaces},
journal = {Experiment. Math.},
volume = {15},
number = {1},
year = {2006},
pages = { 33-42},
language = {en},
url = {http://dml.mathdoc.fr/item/1150476901}
}
Baragar, Arthur. Fractals and the Base Eigenvalue of the Laplacian on Certain Noncompact Surfaces. Experiment. Math., Tome 15 (2006) no. 1, pp. 33-42. http://gdmltest.u-ga.fr/item/1150476901/