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**
Disorder in one dimension and Lyapounov exponents **

**
B. Derrida, J. Vannimenus, Y. Pomeau**, *Simple frustrated
systems: strips and squares* J. Phys. C11, 4749-4765 (1978)
[pdf]

**
B. Derrida, H. Hilhorst**, *On correlation functions in random
magnets*
J. Phys. C14, L539-L544 (1981)
[pdf]

**
B. Derrida, Y. Pomeau**, *Classical diffusion on a random
chain*
Phys. Rev. Lett. 48,
627-630 (1982)
[pdf]

**
B. Derrida**, *A self avoiding walk on random strips* J.
Phys. A15, L119-L125 (1982)
[pdf]

**
B. Derrida, J. Vannimenus**, *Interface energy in random
systems*
Phys. Rev. B27, 4401-4411 (1983)
[pdf]

**
B. Derrida**, *Velocity and diffusion constant of a periodic
one-dimensional hopping model*
J. Stat. Phys. 31, 433-450 (1983)
[pdf]

**
B. Derrida, H. J. Hilhorst**, *Singular behavior of certain infinite
products of random 2 X 2
matrices*
J. Phys. A16, 2641-2654 (1983)
[pdf]

**
B. Derrida,** *Can disorder induce several phase transitions?*
Phys. Rep. 103, 29-39 (1984) in
*Common Trends in Particle and Condensed Matter Physics* eds C.
Itzykson, Y. Pomeau, N. Sourlas
[pdf]

**
E. J. Gardner, C. Itzykson, B. Derrida**, *The Laplacian on a
random one-dimensional lattice*
J. Phys. A17, 1093-1109 (1984)
[pdf]

**
B. Derrida, E. Gardner**, *Lyapounov exponent of the one dimensional
Anderson model: weak disorder expansions* J. Physique 45, 1283-1295
(1984)
[pdf]

**
E. Gardner, B. Derrida**, *Zero temperature magnetization of a
one-dimensional spin glass*
J. Stat. Phys. 39, 367-377 (1985)
[pdf]

**
B. Derrida, E. Gardner**, *Metastable states of a spin glass chain at
zero temperature* J. Physique 47, 959-965 (1986)
[pdf]

**
B. Derrida, A. Zippelius**, *Zero temperature magnetization of the
random axis chain* J. Physique 47, 955-958 (1986)
[pdf]

**
B. Derrida, M. Mendès-France, J. Peyrière**, *Exactly
solvable one dimensional inhomogeneous models* J. Stat. Phys. 45,
439-449 (1986)
[pdf]

**
B. Derrida, K. Mecheri, J.L. Pichard**, *Lyapounov exponents of
products of random matrices: weak disorder expansion. Application to
localisation* J. Physique 48, 733-740 (1987)
[pdf]

**
N. Zanon, B. Derrida**, *Weak disorder expansion of Lyapounov
exponents in a degenerate case* J. Stat. Phys. 50, 509-528 (1988)
[pdf]

**
J. Cook, B. Derrida**, *Lyapounov exponents of large, sparse random
matrices and the
problem of directed polymers with random complex weights* J. Stat.
Phys. 61, 961-986 (1990)
[pdf]

**
B. Derrida, V. Hakim, J. Vannimenus**, *Effect of disorder on two
dimensional wetting* J. Stat. Phys. 66, 1189-1213 (1992)
[pdf]

**
B. Derrida, R.B. Griffiths, P.G. Higgs**, *A model of directed walks
with random self interactions* Europhys. Lett. 18, 361-366 (1992)
[pdf]

**
B. Derrida, P.G. Higgs**, *Low temperature properties of directed
walks with random self interactions* J. Phys. A27, 5485-5493 (1994)
[pdf]

**
B. Derrida, J.L. Jacobsen, R. Zeitak,**
*Lyapounov exponent and density of states of a one-dimensional
non-Hermitian Schrödinger equation*
J. Stat. Phys. 98, 31-55 (2000)
cond-mat/9906235
[pdf]

**
C. Enaud, B. Derrida, **
* Sample-dependent phase transitions in disordered exclusion models
* Europhys. Lett. 66, 83-89 (2004)
[pdf]

**
E. Katzav, M. Adda-Bedia, B. Derrida, **
* Fracture surfaces of heterogeneous materials: a 2D solvable model
* EPL 78, 46006 (2007)
cond-mat/0610185
[pdf]

**
B. Derrida, G. Giacomin, H. Lacoin, F. L. Toninelli,
**
* Fractional moment bounds and disorder relevance for pinning models
*
Commun. Math. Phys. 287, 867-887 (2009)
math/0712.2515
[pdf]