Renormalization in Dynamical Systems and PDE's
==============================================

P. Collet, J.-P. Eckmamnn,
"Iterated maps on the Interval as Dynamical Systems"
Progress in Physics, Vol 1, Birkhaeuser Verlag (1980).
QA614.8.C64

E.B. Vul, Ya.G. Sinai, K.M. Khanin,
"Feigenbaum universality and thermodynamic formalism",
Russian Math. Surveys, Vol. 39:3, 1-40 (1984).

H. Epstein,
"Fixed Points of Composition Operators",
In: Nonlinear Evolution and Chaotic Phenomena,
G. Gallavotti and P. Zweifel (editors).
NATO ASI Series B: Physics, Vol. 176, Plenum Press (1987).
Q172.5.C45N38

C.T. McMullen,
"Complex Dynamics and Renormalization",
Princeton University Press (1995).
QC20.7.R43.M36

M. Lyubich,
"Renormalization ideas in conformal dynamics",
Preprint (1996),
http://www.math.sunysb.edu/~mlyubich/Cambridge.ps.gz

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R.S. MacKay,
"Renormalisation in Area-Preserving Maps",
Thesis, Princeton (1982). World Scientific (1993).

J.-P. Eckmann, H. Koch, P. Wittwer,
"A Computer-Assisted Proof of Universality for Area--Preserving Maps",
Memoirs of the American Mathematical Society, Vol. 47 (1984).

J. Froehlich (editor),
"Scaling and Self-Similarity in Physics"
(Renormalization in Statistical Mechanics and Dynamics),
Progress in Physics, Vol 7, Birkhaeuser Verlag (1983).
QC20.7.R43S33

D.A. Rand,
"Existence, Non-Existence and Universal Breakup
of Dissipative Golden Invariant Tori",
Nonlinearity, 5}, 639-706 (1992).

A. Lesne,
"Methodes de Renormalisation"
(phenomenes critiques, chaos, structures fractales),
Coedition Eyrolles/CNRS (1996).

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J. Feldman, E. Trubowitz,
"Renormalization in Classical Mechanics and Many Body Quantum Field Theory",
Journal d'Analyse Mathematique, 58, 213-247 (1992).

R. de la Llave,
"Introduction to KAM Theory",
Preprint U. Texas, mp_arc 93-8 (1993).

G. Gentile, V. Mastropietro,
"Methods for the analysis of the Lindstedt series for KAM tori and
renormalizability in classical mechanics. A review with some applications",
Rev. Math. Phys. 8, No. 3, 393-444 (1996).
mp_arc 95-247 (1996).

H. Koch,
A renormalization group for Hamiltonians, with applications to KAM tori",
Preprint U. Texas, mp_arc 96-383 (1996).

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C.E. Wayne,
"Invariant Manifolds
for Parabolic Partial Differential Equations on Unbounded Domains",
mp_arc 94-202 (1994).

J. Bricmont, A. Kupiainen,
"Renormalizing Partial Differential Equations",
Constructive physics (Palaiseau, 1994), 83-115,
Lecture Notes in Phys., 446, Springer Verlag (1995).
mp_arc 94-361 (1994).

...

Statistical Mechanics and Renormalization
=========================================

D. Ruelle,
"Statistical Mechanics. Rigorous Results",
Mathematical Physics Monograph Series, W.A. Benjamin (1969).
530.132.R837S

R.B. Israel,
"Convexity in the Theory of Lattice Gases",
Princeton University Press (1979).
QC174.85.L38I87

B. Simon,
"The Statistical mechanics of Lattice Gases, Vol 1",
Princeton University Press (1993).
QC174.85.L38S6

C.J. Thompson,
"Mathematical Statistical Mechanics",
MacMillan, 1972. Princeton University Press (1972).
QC20.T47

D. Ruelle,
"Thermodynamic Formalism", Encyclopedia of Mathematics
and its Applications, Vol. 5, Addison-Wesley (1987).
QC174.86.C6R83

H. Grosse,
"Models in Statistical Physics and Quantum Field Theory",
Trieste Notes in Physics, Springer Verlag (1988).
QC174.8.G76

Ya.G. Sinai,
"Theory of Phase Transitions: Rigorous Results",
International Series in Natural Philosophy, Vol. 108, Pergamon Press (1982)
QC175.16.P5S615

R. Fernandez, J. Froehlich, A.D. Sokal,
"Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory",
Springer Verlag (1992).
QC174.45.F46

G. Benfatto, G. Gallavotti,
"Renormalization Group", Princeton University Press (1995).
QC20.7.R43B46

J. Froehlich (editor),
"Scaling and Self-Similarity in Physics"
(Renormalization in Statistical Mechanics and Dynamics),
Progress in Physics, Vol 7, Birkhaeuser Verlag (1983).
QC20.7.R43S33

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K. Huang,
"Statistical Mechanics", John Wiley & Sons (1963).
QC174.8.H83

D. Chandler,
"Introduction to Modern Statistical Mechanics",
Oxford University Press (1987).
QC174.8.C47

H.E. Stanley,
"Introduction to Phase Transitions and Critical Phenomena",
Oxford University Press (1971).
536.401.ST25I

S.-K. Ma,
"Modern Theory of Critical Phenomena", Frontiers in Physics,
Lecture Notes Series, Benjamin/Cummings (1976).
QC173.4.C74M3

R.J. Creswick, H.A. Farach, C.P. Poole Jr.,
"Introduction to renormalization group methods in physics",
Wiley-Interscience (1992).
QC20.7.R43C74

J.L. Cardy,
"Scaling and renormalization in statistical physics",
Cambridge University Press (1996).

A. Lesne,
"Methodes de Renormalisation"
(phenomenes critiques, chaos, structures fractales),
Coedition Eyrolles/CNRS (1996).

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P. Collet, J.-P. Eckmann,
"A renormalization group analysis
of the hierarchical model in statistical physics",
Lecture Notes in Physics, Vol. 47, Springer Verlag (1978).

H. Koch and P. Wittwer,
"A Nontrivial Renormalization Group Fixed Point
for the Dyson--Baker Hierarchical Model",
Commun. Math. Phys., 164, 627-647 (1994).
mp_arc 93-230.

...

Quantum Field Theory and Renormalization
========================================

J. Glimm, A. Jaffe,
"Quantum Physics: A Functional Integral Point of View",
Springer Verlag, (1981, 1987).
QC 174.45.G49

V. Rivasseau,
"From Perturbative to Constructive Renormalization",
Princeton University Press (1991).
QC174.17.R46R58

J. Froehlich (editor),
"Scaling and Self-Similarity in Physics"
(Renormalization in Statistical Mechanics and Dynamics),
Progress in Physics, Vol 7, Birkhaeuser Verlag (1983).
QC20.7.R43S33

G. Gallavotti,
"Renormalization theory and ultraviolet stability
for scalar fields via renormalization group methods",
Reviews of Modern Physics, Vol 57:2, 471-562 (1985).

G. Benfatto, G. Gallavotti,
"Renormalization Group", Princeton University Press (1995).
QC20.7.R43B46

H. Grosse,
"Models in Statistical Physics and Quantum Field Theory",
Trieste Notes in Physics, Springer Verlag (1988).
QC174.8.G76

R. Fernandez, J. Froehlich, A.D. Sokal,
"Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory",
Springer Verlag (1992).
QC174.45.F46

J. Feldman, E. Trubowitz,
"Renormalization in Classical Mechanics and Many Body Quantum Field Theory",
Journal d'Analyse Mathematique, 58, 213-247 (1992).

J.C. Collins,
"Renormalization, An Introduction to Renormalization,
the Renormalization Group and the Operator-Product Expansion",
Cambridge Monographs on Mathematical Physics (1986).
QC174.17.R46C65

J.C. Baez, I.E. Segal, Z. Zhou,
"Introduction to algebraic and constructive quantum field theory",
Princeton University Press (1992).
QC174.45.B29

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F. Mandl, G. Shaw,
"Quantum Field Theory", Revised edition,
Wiley (1993)

L.H. Ryder,
"Quantum Field Theory", Cambridge University Press (1987,1996).
QC793.R93

M.E. Peskin,
"Introduction to quantum field theory", Reading, Mass. (1995).
QC174.45.P465

S. Weinberg,
"The Quantum Theory of Fields. Volume 1: Foundations",
Cambridge University Press (1995).
QC174.45.W45

...