PIRSA:10070005

Hausdorff and spectral dimension of random graphs

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

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

          @misc{ pirsa_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},
            year = {2010},
            month = {jul},
            note = {PIRSA:10070005 see, \url{https://pirsa.org}}
          }

Bergfinnur Durhuus University of Copenhagen

DOI 10.48660/10070005
Collection
Talk Type Conference

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.