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)
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B. Derrida, H. Hilhorst, On correlation functions in random
magnets
J. Phys. C14, L539-L544 (1981)
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B. Derrida, Y. Pomeau, Classical diffusion on a random
chain
Phys. Rev. Lett. 48,
627-630 (1982)
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B. Derrida, A self avoiding walk on random strips J.
Phys. A15, L119-L125 (1982)
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B. Derrida, J. Vannimenus, Interface energy in random
systems
Phys. Rev. B27, 4401-4411 (1983)
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B. Derrida, Velocity and diffusion constant of a periodic
one-dimensional hopping model
J. Stat. Phys. 31, 433-450 (1983)
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B. Derrida, H. J. Hilhorst, Singular behavior of certain infinite
products of random 2 X 2
matrices
J. Phys. A16, 2641-2654 (1983)
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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
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E. J. Gardner, C. Itzykson, B. Derrida, The Laplacian on a
random one-dimensional lattice
J. Phys. A17, 1093-1109 (1984)
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B. Derrida, E. Gardner, Lyapounov exponent of the one dimensional
Anderson model: weak disorder expansions J. Physique 45, 1283-1295
(1984)
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E. Gardner, B. Derrida, Zero temperature magnetization of a
one-dimensional spin glass
J. Stat. Phys. 39, 367-377 (1985)
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B. Derrida, E. Gardner, Metastable states of a spin glass chain at
zero temperature J. Physique 47, 959-965 (1986)
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B. Derrida, A. Zippelius, Zero temperature magnetization of the
random axis chain J. Physique 47, 955-958 (1986)
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B. Derrida, M. Mendès-France, J. Peyrière, Exactly
solvable one dimensional inhomogeneous models J. Stat. Phys. 45,
439-449 (1986)
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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)
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N. Zanon, B. Derrida, Weak disorder expansion of Lyapounov
exponents in a degenerate case J. Stat. Phys. 50, 509-528 (1988)
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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)
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B. Derrida, V. Hakim, J. Vannimenus, Effect of disorder on two
dimensional wetting J. Stat. Phys. 66, 1189-1213 (1992)
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B. Derrida, R.B. Griffiths, P.G. Higgs, A model of directed walks
with random self interactions Europhys. Lett. 18, 361-366 (1992)
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B. Derrida, P.G. Higgs, Low temperature properties of directed
walks with random self interactions J. Phys. A27, 5485-5493 (1994)
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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
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C. Enaud, B. Derrida,
Sample-dependent phase transitions in disordered exclusion models
Europhys. Lett. 66, 83-89 (2004)
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E. Katzav, M. Adda-Bedia, B. Derrida,
Fracture surfaces of heterogeneous materials: a 2D solvable model
EPL 78, 46006 (2007)
cond-mat/0610185
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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
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