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Prolhac Sylvain

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Assistant professor


e-mail :

Address : Laboratoire de Physique Théorique, IRSAMC,
Université Paul Sabatier, 118 Route de Narbonne,
31062 Toulouse Cedex 4, France

Office : 324 Building 3R1B4

Phone : +33 (0)5 61 55 65 82

Fax : +33 (0)5 61 55 60 65

Research interests

I have been working recently on a one-dimensional non-equilibrium universality class known as KPZ, which describes the fluctuations of some growing interfaces as well as classical and quantum fluids.

I am especially interested in finite volume effects, corresponding to a regime where the correlation length of the fluctuations is of the same order of magnitude as the size of the system. The temporal evolution of the system then describes all the relaxation process of the fluctuations between some initial state and the stationary state.

Exact results for discrete models revealed recently that the probability of KPZ fluctuations in finite volume has a natural expression as a contour integral on an infinite genus Riemann surface, which depends on the boundary conditions.


Selected papers (full list on arXiv) :

- Exact formulas for KPZ fluctuations with periodic boundaries

- Probability as a contour integral on a Riemann surface

- Spectrum

- Stationary limit : non-intersecting Brownian bridges

Recent talks

Last updated 8 June 2022