Corpus ID: 237507357

Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings

@inproceedings{Aggarwal2021FreeFS,
  title={Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings},
  author={Amol Aggarwal and Alexei Borodin and Leonid A. Petrov and Michael Wheeler},
  year={2021}
}
Our work deals with symmetric rational functions and probabilistic models based on the fully inhomogeneous six vertex (ice type) model satisfying the free fermion condition. Two families of symmetric rational functions $F_\lambda,G_\lambda$ are defined as certain partition functions of the six vertex model, with variables corresponding to row rapidities, and the labeling signatures $\lambda=(\lambda_1\ge \ldots\ge \lambda_N)\in \mathbb{Z}^N$ encoding boundary conditions. These symmetric… Expand