| 000 | 02475nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9780511470967 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160236.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090122s2000||||enk o ||1 0|eng|d | ||
| 020 | _a9780511470967 (ebook) | ||
| 020 | _z9780521552929 (hardback) | ||
| 020 | _z9780521061728 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA274.73 _b.W64 2000 |
| 082 | 0 | 0 |
_a519.2/82 _221 |
| 100 | 1 |
_aWoess, Wolfgang, _d1954- _eauthor. |
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| 245 | 1 | 0 |
_aRandom walks on infinite graphs and groups / _cWolfgang Woess. |
| 246 | 3 | _aRandom Walks on Infinite Graphs & Groups | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2000. |
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| 300 |
_a1 online resource (xi, 334 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge tracts in mathematics ; _v138 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aCh. I. The type problem -- Ch. II. The spectral radius -- Ch. III. The asymptotic behaviour of transition probabilities -- Ch. IV. An introduction to topological boundary theory. | |
| 520 | _aThe main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics. | ||
| 650 | 0 | _aRandom walks (Mathematics) | |
| 650 | 0 | _aGraph theory. | |
| 650 | 0 | _aInfinite groups. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521552929 |
| 830 | 0 |
_aCambridge tracts in mathematics ; _v138. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511470967 |
| 999 |
_c518129 _d518127 |
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