1.

J. Fröhlich, ed.,*Scaling and Self Similarity in Physics—Renormalization in Statistical Mechanics and Dynamics* (BirkhÄuser, Boston, 1983).

2.

K. G. Wilson,*Phys. Rev. B*
**4**:3174 (1971); J. G. Kogut and K. G. Wilson,*Phys. Rep.*
**12**:263 (1974).

3.

J. Polchinski, Renormalization and effective Lagrangians,*Nucl. Phys. B*
**231**:269 (1984).

4.

G. Gallavotti, and F. Nicolo, Renormalization theory in four-dimensional scalar fields (I),*Commun. Math. Phys.*
**100**:545 (1985).

5.

C. Newman, Unpublished work;*J. Stat. Phys.*
**27**:836 (1982).

6.

J. Fröhlich and E. Seiler,*Helv. Phys. Acta*
**49**:889 (1976).

7.

D. C. Brydges, A short course on cluster expansions, Appendix A, in*Critical Phenomena, Random Systems, Gauge Theories*, K. Osterwalder and R. Stora, eds. (Elsevier, 1986).

8.

G. Battle, and P. Federbush, A note on cluster expansions, tree graph identities, extra 1/N! factors!*Lett. Math. Phys.*
**8**:55 (1984).

9.

D. C. Brydges, Convergence of Mayer expansions,*J. Stat. Phys.*
**42**:425 (1984).

10.

J. Fröhlich,*Commun. Math. Phys.*
**47**:233 (1976).

11.

G. Benfatto, An iterated Mayer expansion for the Yukawa gas,*J. Stat. Phys.*
**41**:671 (1985).

12.

M. Göpfert and G. Mack,*Commun. Math. Phys.*
**81**:97 (1981);**82**:545 (1982).

13.

G. Gallavotti, Renormalization theory and ultra-violet stability for scalar fields via renormalisation group techniques,*Rev. Mod. Phys.*
**57**:471 (1985).

14.

G. Benfatto, G. Gallavotti, and F. Nicolo, On the massive sine Gordon equation in the first few regions of collapse,*Commun. Math. Phys.*
**83**:387 (1982).

15.

F. Nicolo, J. Benn, and A. Steinman, On the massive sine Gordon equation in all regions of collapse,*Commun. Math. Phys.*
**105**:291 (1986).

16.

G. Benfatto, G. Gallavotti, and F. Nicolo, In preparation.

17.

G. Gallavotti and F. Nicolo, The screening phase transition in the two dimensional Coulomb gas,*J. Stat. Phys.*
**39**:133 (1985).

18.

J. Imbrie, Iterated Mayer expansions and their applications to Coulomb systems, in*Scaling and Self-Similanty in Physics—Renormalization in Statistical Mechanics and Dynamics*, J. Frölich, ed. (BirkhÄuser, Boston, 1983).

19.

V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer, New York, 1978), p. 256.