PIRSA:10070005

Hausdorff and spectral dimension of random graphs

APA

Durhuus, B. (2010). Hausdorff and spectral dimension of random graphs. Perimeter Institute. https://pirsa.org/10070005

MLA

Durhuus, Bergfinnur. Hausdorff and spectral dimension of random graphs. Perimeter Institute, Jul. 04, 2010, https://pirsa.org/10070005

BibTex

          @misc{ pirsa_10070005,
            doi = {},
            url = {https://pirsa.org/10070005},
            author = {Durhuus, Bergfinnur},
            keywords = {},
            language = {en},
            title = {Hausdorff and spectral dimension of random graphs},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {jul},
            note = {PIRSA:10070005 see, \url{https://pirsa.org}}
          }
          

Abstract

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.