B1270
Title: A class of lattice models with new scaling exponents.
Authors: Bartosz Kolodziejek - Politechnika Warszawska (Poland) [presenting]
Abstract: A class of stochastic models are introduced that share several properties with the discrete directed polymer model with i.i.d. environment. The evolution of both models can be equivalently described by an array of pairs satisfying the Burke property (the down-right property), and they are amenable to explicit computation, making them integrable. However, there are notable differences between these two classes. In particular, the variance of the free energy in the polymer models along the characteristic direction scales as $N^{2/3}$, whereas in the new class, it scales as $N^{1/2}$.
