Durhuus, B. (2010). Hausdorff and spectral dimension of random graphs. Perimeter Institute for Theoretical Physics. https://pirsa.org/10070005
MLA
Durhuus, Bergfinnur. Hausdorff and spectral dimension of random graphs. Perimeter Institute for Theoretical Physics, Jul. 04, 2010, https://pirsa.org/10070005
BibTex
@misc{ scivideos_PIRSA:10070005,
doi = {10.48660/10070005},
url = {https://pirsa.org/10070005},
author = {Durhuus, Bergfinnur},
keywords = {},
language = {en},
title = {Hausdorff and spectral dimension of random graphs},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2010},
month = {jul},
note = {PIRSA:10070005 see, \url{https://scivideos.org/index.php/pirsa/10070005}}
}
We introduce a class of probability spaces whose objects are infinite graphs and whose probability distributions are obtained as limits of distributions for finite graphs. The notions of Hausdorff and spectral dimension for such ensembles are defined and some results on their value in koncrete examples, such as random trees, will be described.