New random geometries
and other recent developments in probability
University of Bath, 7-11 September 2009



The last decade has seen the emergence of a range of new random objects well beyond the classical stochastic process setting. Common to these objects is their geometric nature: Random trees, networks or curves all combine the phenomenon of randomness with a specific geometric structure. The relevance of this development is demonstrated on the one hand by the recent award of the Fields medal to Werner for his work on conformally invariant random curves, on the other hand by the huge amount of interest in random network models coming from a broad range of scientific disciplines from sociology to computer science. There is a pressing need for probabilists in the UK to be exposed to clear presentations of the emerging theory, since its growth already is one of the dominant features of probability theory at the beginning of this century, and because these new models significantly enhance the modelling capacities in applied probability.


We plan to base the proposed workshop around four series of three expository research lectures of one hour each, given by world leaders in the respective areas of the workshop. The following have agreed to be these speakers:

      Frank den Hollander (Leiden)
      Random polymers
      Watch Video

      Jean-François Le Gall (Orsay)
      Random planar maps and continuum trees
      Watch Video

      Yuval Peres (Microsoft, Redmond)
      Markov chains, rates of escape, and embeddings
      Watch Video


Additional Talks

In addition we plan sixteen invited 40 minute talks by leading UK and European researchers in these areas, chosen so as to maximise possibilities for interaction both within and between the areas. There will be time and space allocated for informal discussions and initiation of projects, and there will be a dedicated space for poster presentations. At present the following invited speakers have agreed to give talks:
Stefan Adams (Warwick), Ron Doney (Manchester), Erik Ekström (Uppsala), Alexander Gnedin (Utrecht), Markus Heydenreich (Amsterdam), Alexander Holroyd (UBC), Christopher Hughes (York), Antal Jarai (Bath), Malwina Luczak (LSE), Peter Neal (Manchester), Giovanni Peccati (Paris Ouest), Jeff Steif (Chalmers), Pierre Tarres (Oxford), Adam Timar (Bonn), Andrew Wade (Bristol), Nikolaos Zygoras (Warwick).

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Supported By:


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