The Strict-Weak Lattice Polymer

摘要: We introduce the strict-weak polymer model, and show KPZ universality of free energy fluctuation this model for a certain range parameters. Our proof relies on observation that discrete time geometric $$q$$ -TASEP studied earlier by Borodin Corwin, scales to in limit $$q\rightarrow 1$$ . This allows us exploit exact results derive Fredholm determinant formula polymer, turn perform rigorous asymptotic analysis scaling GUE Tracy–Widom fluctuations. also moments formulae partition function directly Bethe ansatz, identify using stationary version model.