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
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.
- 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.
