TY - JOUR ID - Zygmunt2011 LB - Zygmunt2011 AU - Zygmunt, Marcin J. TI - Non symmetric random walk on infinite graph ST - Non symmetric random walk on infinite graph JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2011 VL - 31 IS - 4 SP - 669 EP - 674 DO - http://dx.doi.org/10.7494/OpMath.2011.31.4.669 UR - http://dx.doi.org/10.7494/OpMath.2011.31.4.669 AB - We investigate properties of a non symmetric Markov's chain on an infinite graph. We show the connection with matrix valued random walk polynomials which satisfy the orthogonality formula with respect to non a symmetric matrix valued measure. KW - random walk on an infinite graph KW - block tridiagonal transition matrix KW - spectral measure matrix orthogonal polynomials SN - 1232-9274 ER -