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- W2605762573 abstract "We introduce a new family of integrable stochastic processes, called textit{dynamical stochastic higher spin vertex models}, arising from fused representations of Felder's elliptic quantum group $E_{tau, eta} (mathfrak{sl}_2)$. These models simultaneously generalize the stochastic higher spin vertex models, studied by Corwin-Petrov and Borodin-Petrov, and are dynamical in the sense of Borodin's recent stochastic interaction round-a-face models. We provide explicit contour integral identities for observables of these models (when run under specific types of initial data) that characterize the distributions of their currents. Through asymptotic analysis of these identities in a special case, we evaluate the scaling limit for the current of a dynamical version of a discrete-time partial exclusion process. In particular, we show that its scaling exponent is $1 / 4$ and that its one-point marginal converges (in a sense of moments) to that of a non-trivial random variable, which we determine explicitly." @default.
- W2605762573 created "2017-04-28" @default.
- W2605762573 creator A5016887361 @default.
- W2605762573 date "2017-04-08" @default.
- W2605762573 modified "2023-09-25" @default.
- W2605762573 title "Dynamical Stochastic Higher Spin Vertex Models" @default.
- W2605762573 hasPublicationYear "2017" @default.
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