project . 2013 - 2015 . Closed

Discrete Potential Theory and Applications

UK Research and Innovation
  • Funder: UK Research and InnovationProject code: EP/L002787/1
  • Funded under: EPSRC Funder Contribution: 98,503 GBP
  • Status: Closed
  • Start Date
    04 Sep 2013
    End Date
    03 Sep 2015
Description
The project is devoted to basic research in pure mathematics. It is based on the well-studied interplay between the theory of electrical networks -seen as abstract mathematical tools- and the theory of random walks on graphs. Four specific topics within this framework are addressed by the project: -- The Poisson boundary for random walk on graphs and groups; We follow an active tradition in group theory, triggered by Kesten, where results about groups are obtained indirectly by considering a random walk on the group and relating its behaviour, or the structure of a boundary associated to it, to the algebraic properties of the group. The project benefits from a r...
Description
The project is devoted to basic research in pure mathematics. It is based on the well-studied interplay between the theory of electrical networks -seen as abstract mathematical tools- and the theory of random walks on graphs. Four specific topics within this framework are addressed by the project: -- The Poisson boundary for random walk on graphs and groups; We follow an active tradition in group theory, triggered by Kesten, where results about groups are obtained indirectly by considering a random walk on the group and relating its behaviour, or the structure of a boundary associated to it, to the algebraic properties of the group. The project benefits from a r...
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