9. Relaxing/perturbing integrable models
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Problem 9.1.
Can one can relax the iid Bernoulli random walks that underlie the nontrivial structure in integrable models like PNG or TASEP, in formulas around the KPZ FP [MR4346267], [arXiv:2209.02643]? Another example includes the two-layer Gibbs measures (again, relying on simple random walks) that provide descriptions of stationary distributions in open particle systems [MR4777093]. -
Problem 9.2.
Characterizing stochastic processes that one can put into formulas instead of random walks.
Cite this as: AimPL: All roads to the KPZ universality class, available at http://aimpl.org/roadtokpz.