Disorder in one dimension and Lyapounov exponents

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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) [pdf]

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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]