Determinantal Expressions in Multi-Species TASEP Academic Article uri icon

abstract

  • Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height function which equals the maximum species number to the left of a lattice site. For each fixed time, the multi-point distributions of these height functions have a determinantal structure. In the homogeneous case and for certain initial conditions, the fluctuations of the height function converge to Gaussian random variables in the large-time limit. The proof utilizes a coupling between the multi-species TASEP and a coalescing random walk, and previously known results for coalescing random walks.

published proceedings

  • Symmetry, Integrability and Geometry: Methods and Applications

altmetric score

  • 0.25

author list (cited authors)

  • Kuan, J

citation count

  • 1

complete list of authors

  • Kuan, Jeffrey

publication date

  • December 2020