2018/08/31 by Dayue Chen, Chen, Dayue, Linjie Zhao +1 · 2 citations
Decision Sciences · Engineering · Mathematics · #Bernoulli distribution #Bernoulli's principle #Distribution (mathematics) #Engineering #FOS: Mathematics #Geometry #Limiting #Mathematical analysis #Mathematics #Mechanical engineering #Physics #Probability (math.PR) #Probability and Risk Models #Product (mathematics) #Random Matrices and Applications #Random variable #Statistics #Stochastic processes and statistical mechanics #Thermodynamics #math.PR
paper · pdf · doi:10.48550/arxiv.1808.10612
published in arXiv (Cornell University) (Cornell University) · 14 pages
arxiv created 2018/08/31 · openalex publication_date 2018/08/31 · arxiv updated 2018/09/03 · openalex created_date 2018/09/07 · openalex updated_date 2026/07/28
We study the facilitated totally asymmetric exclusion process on the one dimensional integer lattice. We investigate the invariant measures and the limiting behavior of the process. We mainly derive the limiting distribution of the process when the initial distribution is the Bernoulli product measure with density 1/2. We also prove that in the low density regime, the system finally converges to an absorbing state.