18 citations · 26 across the 10 of their papers we have counts for
14 papers
Random walks in Dirichlet random environment in dimension
Guillaume Barraquand, Alexander K. Hartmann, Pierre Le Doussal
The atypical behaviour of random walks in time-dependent random environment was recently related to Kardar-Parisi-Zhang (KPZ) growth. While this is now well-understood in spatial d…
Stationary inverse-Wishart polymers
Guillaume Barraquand, Zikun Ouyang
A solvable model of directed polymer with matrix-valued disorder is introduced in arXiv:2203.14868. The disorder is made of inverse-Wishart random matrices, so that the…
Convergence of the KMP model to the KPZ equation
Guillaume Barraquand, Francesco Casini
We prove that the Kipnis-Marchioro-Presutti (KMP) process converges to the Kardar-Parisi-Zhang (KPZ) equation, as time goes to infinity, in a properly scaled observation window…
Introduction to quantum exclusion processes
Guillaume Barraquand, Denis Bernard
The QSSEP, short for quantum symmetric simple exclusion process, is a paradigm model for stochastic quantum dynamics. Averaging over the noise, the quantum dynamics reduce to the w…
Large time cumulants of the KPZ equation on an interval
Guillaume Barraquand, Pierre Le Doussal
We consider the Kardar-Parisi-Zhang equation on the interval with Neumann type boundary conditions and boundary parameters . We show that the -th order cumulant of…
Integral formulas for two-layer Schur and Whittaker processes
Guillaume Barraquand
Stationary measures of last passage percolation with geometric weights and the log-gamma polymer in a strip of the lattice are characterized in arXiv:2306.05983 using…