• Title of article

    Markov Chains on Graphs and Brownian Motion

  • Author/Authors

    Nathanael Enriquez، نويسنده , , Yuri Kifer، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    -494
  • From page
    495
  • To page
    0
  • Abstract
    We consider random walks with small fixed steps inside of edges of a graph g, prescribing a natural rule of probabilities of jumps over a vertex. We show that after an appropriate rescaling such random walks weakly converge to the natural Brownian motion on g constructed in Ref. 1.
  • Keywords
    Random walks , invariance principle , Brownian motion on graphs
  • Journal title
    JOURNAL OF THEORETICAL PROBABILITY
  • Serial Year
    2001
  • Journal title
    JOURNAL OF THEORETICAL PROBABILITY
  • Record number

    108310

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=108310