Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Full text of review: PDF This review is available free of charge.

Book Information:

Author: C. M. Newman

Title: Topics in disordered systems

Additional book information: Birkhäuser-Verlag, Basel, 1997, vii + 88 pp., ISBN 3-7643-5777-0, $22.50$

*Mathematical aspects of spin glasses and neural networks*, Progress in Probability, vol. 41, Birkhäuser Boston, Inc., Boston, MA, 1998. MR

**1601723**

**[EA]**

*J. Phys. F*

**5**(1975) 965-974.

**[FHbk]**

*Spin Glasses*, Cambridge University Press, Cambridge, 1991.

**[FH]**

*Phys. Rev. Lett.*

**56**(1986) 1601-1604.

*On the random-cluster model. I. Introduction and relation to other models*, Physica

**57**(1972), 536–564. MR

**359655**

*Mathematical aspects of the physics of disordered systems*, Phénomènes critiques, systèmes aléatoires, théories de jauge, Part I, II (Les Houches, 1984) North-Holland, Amsterdam, 1986, pp. 725–893. With the collaboration of A. Bovier and U. Glaus. MR

**880538**

*Gibbs measures and phase transitions*, De Gruyter Studies in Mathematics, vol. 9, Walter de Gruyter & Co., Berlin, 1988. MR

**956646**, DOI 10.1515/9783110850147

**[Ka]**

*Progr. Theoret. Phys.*

**16**(1956) 45-57.

**[KS]**

*Solids Far from Equilibrium: Growth, Morphology and Defects*(C. Godrèche, ed.) 479-582, Cambridge University Press, Cambridge, 1991.

*Geodesics in two-dimensional first-passage percolation*, Ann. Probab.

**24**(1996), no. 1, 399–410. MR

**1387641**, DOI 10.1214/aop/1042644722

*Superdiffusivity in first-passage percolation*, Probab. Theory Related Fields

**106**(1996), no. 4, 559–591. MR

**1421992**, DOI 10.1007/s004400050075

**[Mc]**

*J. Phys. C*

**17**(1984) 3179-3187.

*Spin glass theory and beyond*, World Scientific Lecture Notes in Physics, vol. 9, World Scientific Publishing Co., Inc., Teaneck, NJ, 1987. MR

**1026102**

**[My]**

*Spin Glasses: An Experimental Introduction*, Taylor and Francis, London, 1993.

*Disordered Ising systems and random cluster representations*, Probability and phase transition (Cambridge, 1993) NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., vol. 420, Kluwer Acad. Publ., Dordrecht, 1994, pp. 247–260. MR

**1283186**, DOI 10.1007/978-94-015-8326-8_{1}5

**[NS92]**

*Phys. Rev. B*

**46**(1992) 973-982.

*Ground-state structure in a highly disordered spin-glass model*, J. Statist. Phys.

**82**(1996), no. 3-4, 1113–1132. MR

**1372437**, DOI 10.1007/BF02179805

**[NS96b]**

*Phys. Rev. Lett.*

**76**(1996) 515-518.

**[NS96c]**

*Phys. Rev. Lett.*

**76**(1996) 4821-4824.

**[Pa]**

*Phys. Rev. Lett.*

**43**(1979) 1754-1756.

**[RK]**

*Phys. Rev.*

**96**(1954) 99-102.

**[SK]**

*Phys. Rev. Lett.*

**35**(1975) 1792-1796.

*The statistical mechanics of lattice gases. Vol. I*, Princeton Series in Physics, Princeton University Press, Princeton, NJ, 1993. MR

**1239893**, DOI 10.1515/9781400863433

*On the number of infinite geodesics and ground states in disordered systems*, J. Statist. Phys.

**87**(1997), no. 1-2, 439–447. MR

**1453745**, DOI 10.1007/BF02181495

**[Yo]**

*Phys. Rev.*

**106**(1957) 893-898.

Review Information:

Reviewer: Kenneth S. Alexander

Affiliation: University of Southern California, Los Angeles

Email: alexandr@math.usc.edu

Journal: Bull. Amer. Math. Soc.

**36**(1999), 267-270

DOI: https://doi.org/10.1090/S0273-0979-99-00779-X

Keywords: Disordered system, spin glass, Ising model, random cluster model

Published electronically: February 22, 1999

Additional Notes: Research supported by NSF grant DMS-9802368.

Review copyright: © Copyright 1999 American Mathematical Society