2014/01/14 by Ivan Corwin, Corwin, Ivan
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Algebra (math.QA) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP #math.PR #math.QA
paper · pdf · doi:10.48550/arxiv.1401.3321
18 pages, 2 figures
arxiv created 2014/01/14 · arxiv updated 2014/01/15
We prove a intertwining relation (or Markov duality) between the (q,μ,ν)-Boson process and (q,μ,ν)-TASEP, two discrete time Markov chains introduced by Povolotsky. Using this and a variant of the coordinate Bethe ansatz we compute nested contour integral formulas for expectations of a family of observables of the (q,μ,ν)-TASEP when started from step initial data. We then utilize these to prove a Fredholm determinant formula for distribution of the location of any given particle.