Opuscula Math. 31, no. 4 (2011), 669-674
http://dx.doi.org/10.7494/OpMath.2011.31.4.669

Opuscula Mathematica

# Non symmetric random walk on infinite graph

Marcin J. Zygmunt

Abstract. 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.

Keywords: random walk on an infinite graph, block tridiagonal transition matrix, spectral measure matrix orthogonal polynomials.

Mathematics Subject Classification: 60J10, 42C05, 47B36.

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