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math.PR2020
KPZ-type fluctuation exponents for interacting diffusions in equilibrium
Benjamin Landon, Christian Noack, Philippe Sosoe
We consider systems of diffusions in equilibrium interacting through a potential . We study a "height function" which for the special choice $V(x) = \e^{-x}$, coincides with…
math.PR2020
Concentration for integrable directed polymer models
Christian Noack, Philippe Sosoe
In this paper, we consider four integrable models of directed polymers for which the free energy is known to exhibit KPZ fluctuations. A common framework for the analysis of these…
math.PR2020★ 5 cited
Central moments of the free energy of the O'Connell-Yor polymer
Christian Noack, Philippe Sosoe
Seppäläinen and Valkó showed in \cite{SV} that for a suitable choice of parameters, the variance growth of the free energy of the stationary O'Connell-Yor polymer is governed by th…