Book Review
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Book Information:
Author:
Volodymyr Nekrashevych
Title:
Self-similar groups
Additional book information:
Mathematical Surveys and Monographs, vol. 117,
American Mathematical Society, Providence, RI,
2005,
xii + 231 pp.,
ISBN 978-0-8218-3831-0,
US$59.00$
Laurent Bartholdi, Rostislav I. Grigorchuk, and Zoran Šuniḱ, Branch groups, Handbook of algebra, Vol. 3, Handb. Algebr., vol. 3, Elsevier/North-Holland, Amsterdam, 2003, pp. 989–1112. MR 2035113, DOI 10.1016/S1570-7954(03)80078-5
Hyman Bass, Maria Victoria Otero-Espinar, Daniel Rockmore, and Charles Tresser, Cyclic renormalization and automorphism groups of rooted trees, Lecture Notes in Mathematics, vol. 1621, Springer-Verlag, Berlin, 1996. MR 1392694, DOI 10.1007/BFb0096321
Jorge Buescu, Exotic attractors, Progress in Mathematics, vol. 153, Birkhäuser Verlag, Basel, 1997. From Liapunov stability to riddled basins. MR 1488418, DOI 10.1007/978-3-0348-7421-2
Alain Connes, Noncommutative geometry, Academic Press, Inc., San Diego, CA, 1994. MR 1303779
[dlH00] P. de la Harpe, Topics in geometric group theory, Chicago Lectures in Mathematics, University of Chicago Press, 2000.
David B. A. Epstein, James W. Cannon, Derek F. Holt, Silvio V. F. Levy, Michael S. Paterson, and William P. Thurston, Word processing in groups, Jones and Bartlett Publishers, Boston, MA, 1992. MR 1161694
Jean-Pierre Serre, Trees, Springer-Verlag, Berlin-New York, 1980. Translated from the French by John Stillwell. MR 607504
D. V. Shirkov, The evolution of Bogolyubov’s renormalization group, Ukraïn. Fīz. Zh. 45 (2000), no. 4-5, 409–424 (English, with English, Russian and Ukrainian summaries). Problems of theoretical and mathematical physics (Kyiv, 1999). MR 1806905
[Wik06] Wikipedia, Renormalization group -- Wikipedia, the free encyclopedia, 2006 (Online; accessed 13-September-2006).
- [BGŠ03]
- Laurent Bartholdi, Rostislav I. Grigorchuk, and Zoran Šunik, Branch groups, Handbook of algebra, Vol. 3, North-Holland, Amsterdam, 2003, pp. 989-1112. MR 2035113
- [BOERT96]
- Hyman Bass, Maria Victoria Otero-Espinar, Daniel Rockmore, and Charles Tresser, Cyclic renormalization and automorphism groups of rooted trees, Lecture Notes in Mathematics, vol. 1621, Springer-Verlag, Berlin, 1996. MR 1392694
- [Bue97]
- Jorge Buescu, Exotic attractors, From Liapunov stability to riddled basins. Progress in Mathematics, vol. 153, Birkhäuser-Verlag, Basel, 1997. MR 1488418
- [Con94]
- Alain Connes, Noncommutative geometry, Academic Press Inc., San Diego, CA, 1994. MR 1303779
- [dlH00]
- P. de la Harpe, Topics in geometric group theory, Chicago Lectures in Mathematics, University of Chicago Press, 2000.
- [ECH92]
- David B. A. Epstein, James W. Cannon, Derek F. Holt, Silvio V. F. Levy, Michael S. Paterson, and William P. Thurston, Word processing in groups, Jones and Bartlett Publishers, Boston, MA, 1992. MR 1161694 (93i:20036)
- [Ser80]
- Jean-Pierre Serre, Trees, Springer-Verlag, Berlin, 1980. MR 607504 (82c:20083)
- [Shi00]
- D. V. Shirkov, The evolution of Bogolyubov's renormalization group, Ukraïn. Fz. Zh. 45 (2000), no. 4-5, 409-424; Problems of theoretical and mathematical physics (Kyiv, 1999). MR 1806905 (2001k:81004)
- [Wik06]
- Wikipedia, Renormalization group -- Wikipedia, the free encyclopedia, 2006 (Online; accessed 13-September-2006).
Review Information:
Reviewer:
Rostislav Grigorchuk
Affiliation:
Texas A&M University
Email:
grigorch@math.tamu.edu
Journal:
Bull. Amer. Math. Soc.
44 (2007), 505-512
Published electronically:
April 11, 2007
Review copyright:
© Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.