@article {IOPORT.06104714,
    author       = {Obata, Nobuaki},
    title        = {One-mode interacting Fock spaces and random walks on graphs.},
    year         = {2012},
    journal      = {Stochastics},
    volume       = {84},
    number       = {2-3},
    issn         = {1744-2508},
    pages        = {383-392},
    publisher    = {Taylor \& Francis, Abingdon},
    doi          = {10.1080/17442508.2010.550919},
    abstract     = {Summary: A one-mode interacting Fock space is reformulated in a slightly generalized form in terms of a tridiagonal matrix. We derive the continued fraction expansion of its resolvent and the combinatorial part of the Accardi-Bo\D{z}ejko formula. Under certain positivity condition, a probability distribution on the real line is related and the Karlin-McGregor formula is reproduced under slightly weaker conditions. We show concrete computation for random walks on graphs, e.g. the free Meixner law is derived from a random walk on a spidernet.},
    identifier   = {06104714},
}