Opuscula Math. 31, no. 4 (2011), 669-674

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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  • Marcin J. Zygmunt
  • AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
  • Received: 2010-11-17.
  • Revised: 2011-03-07.
  • Accepted: 2011-03-15.
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Cite this article as:
Marcin J. Zygmunt, Non symmetric random walk on infinite graph, Opuscula Math. 31, no. 4 (2011), 669-674, http://dx.doi.org/10.7494/OpMath.2011.31.4.669

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