Non symmetric random walk on infinite graph
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.
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2011-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol31/4/art/opuscula_math_3145.pdf |
| _version_ | 1811326227188809728 |
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| author | Marcin J. Zygmunt |
| author_facet | Marcin J. Zygmunt |
| author_sort | Marcin J. Zygmunt |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T14:46:25Z |
| format | Article |
| id | doaj.art-b20e54b1726848ee8a46a0baab34880e |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-04-13T14:46:25Z |
| publishDate | 2011-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-b20e54b1726848ee8a46a0baab34880e2022-12-22T02:42:44ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742011-01-01314669674http://dx.doi.org/10.7494/OpMath.2011.31.4.6693145Non symmetric random walk on infinite graphMarcin J. Zygmunt0AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, PolandWe 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.http://www.opuscula.agh.edu.pl/vol31/4/art/opuscula_math_3145.pdfrandom walk on an infinite graphblock tridiagonal transition matrixspectral measure matrix orthogonal polynomials |
| spellingShingle | Marcin J. Zygmunt Non symmetric random walk on infinite graph Opuscula Mathematica random walk on an infinite graph block tridiagonal transition matrix spectral measure matrix orthogonal polynomials |
| title | Non symmetric random walk on infinite graph |
| title_full | Non symmetric random walk on infinite graph |
| title_fullStr | Non symmetric random walk on infinite graph |
| title_full_unstemmed | Non symmetric random walk on infinite graph |
| title_short | Non symmetric random walk on infinite graph |
| title_sort | non symmetric random walk on infinite graph |
| topic | random walk on an infinite graph block tridiagonal transition matrix spectral measure matrix orthogonal polynomials |
| url | http://www.opuscula.agh.edu.pl/vol31/4/art/opuscula_math_3145.pdf |
| work_keys_str_mv | AT marcinjzygmunt nonsymmetricrandomwalkoninfinitegraph |