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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The dynamic phi^4 model in the plane

## The dynamic phi^4 model in the planeAdd to your list(s) Download to your calendar using vCal - Mourrat, J-C (ENS - Lyon)
- Thursday 05 February 2015, 16:00-17:00
- Seminar Room 2, Newton Institute Gatehouse.
If you have a question about this talk, please contact Mustapha Amrani. Random Geometry The dynamic phi^4 model is a non-linear stochastic PDE which involves a cubic power of the solution. In dimensions 3 and less, solutions are expected to have the same local regularity as the linearised equation, for which the law of the Gaussian free field is invariant. Hence, in dimensions 2 and 3, some renormalisation needs to be performed in order to define the cubic power of the solution. In the (full) plane, I will explain how to do this and show that the stochastic PDE has a well-defined solution for all times. If time permits, I will also sketch a proof that the model is the scaling limit of a near-critical Ising model with long-range interactions. Joint work with Hendrik Weber. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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