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Phenomena in High Dimensions
The annual workshop of the programme on Phenomena in High Dimensions was held at the Postgraduate Statistics Centre, Fylde College, Lancaster University between the 14th and 19th of September 2008
The workshop meeting will cover one of the main topics of the PHD project, namely isoperimetric principles in geometry and probability. To understand the behaviour of interacting particle systems, or combinatorial objects with a large number of components, it is necessary to study geometrical objects with a large number of dimensions. Some familiar tools from geometry of Euclidean space become important when the number of dimensions increases, such as isoperimetric inequalities and the concentration of measure phenomenon.
The workshop will feature series of lectures by
- Imre Leader (Cambridge) on Isoperimetric inequalities,
- Francois Bolley (Universite Paris Dauphine) on Mean field limits of stochastic interacting particle systems,
- David Kribs (Guelph) on An introduction to some mathematical aspects of quantum information" and
- Boguslaw Zegarlinski (Imperial, London) on Linear and Nonlinear problems in infinite dimension.
- Contributions from early career researchers
View more information about our speakers
In addition to presenting the basic theory, these talks will cover related areas such as particle systems and quantum information, which point the way towards future research on high dimensional phenomena. The talks are by leading experts in their fields, and will be accessible to PhD students and researchers from other areas.
Participants are encouraged to offer 30 minute talks on related themes. The call for abstracts is now open. Please download this form (MS Word format, or, PDF) to submit abstracts and send to Dr Bev Abram. Abstracts must be submitted by 29th August 2008. There will be facilities available in the Postgraduate Statistics Centre for working and holding discussions.
The PhD research training network is supported by EC grant MRTN-CT-2004-511953
