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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Non-equilibrium fluctuations for the slow boundary symmetric exclusion

## Non-equilibrium fluctuations for the slow boundary symmetric exclusionAdd to your list(s) Download to your calendar using vCal - Patricia GonÃ§alves (Instituto Superior TÃ©cnico, Lisboa)
- Monday 22 October 2018, 14:30-15:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations In this talk, I will present the symmetric simple exclusion process in contact with slow stochastic reservoirs which are regulated by a factor $n^{-\theta}$, $\theta\geq 0$. I will review the hydrodynamic limit and the goal of my talk is to present the non-equilibrium fluctuations for this model. Depending on the range of the parameter $\theta$ we obtain processes with various boundary conditions. As a consequence of the previous result together with an application of the matrix ansatz method – which gives us information on the stationary measure for the model – we deduce the non-equilibrium stationary fluctuations. The main ingredient to prove these results is the derivation of precise bounds on the two-point space-time correlation functions. 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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