Models related to biology
B. Derrida and D. Bessis, Statistical properties of valleys in the
annealed random map model
J. Phys. A 21, L509-L519
(1988)
[pdf]
B. Derrida, L. Peliti, Evolution in a flat fitness landscape
Bull. Math. Biol. 53, 355-382 (1991)
[pdf]
P. G. Higgs, B. Derrida, Stochastic models for species formation
in evolving populations J. Phys. A24, L985-L991 (1991)
[pdf]
B. Derrida, R.B. Griffiths, P.G. Higgs, A model of directed walks
with random self interactions Europhys. Lett. 18, 361-366 (1992)
P.G. Higgs, B. Derrida, Genetic distance and species formation in
evolving populations J. Mol. Evol. 35, 454-465 (1992)
[pdf]
J. De Boer, B. Derrida, H. Flyvbjerg, A.D. Jackson, T. Wettig, A
simple model of self-organized biological evolution
Phys. Rev. Lett.
73, 906-909 (1994)
[pdf]
B. Derrida, Spin glasses, random Boolean networks
and simple models of evolution, Proceedings of the Trieste
Conference
on Nonlinear cooperative phenomena in biological systems, August 1997,
216-226 in Non linear cooperative phenomena in biological systems
Ed L. Matsson, World Scientific 1998
B. Derrida, B. Jung-Muller,
The genealogical tree of a chromosome J. Stat. Phys. 94,
277-298 (1999)
[pdf]
B. Derrida, S.C. Manrubia, D.H. Zanette,
Statistical properties of genealogical trees
Phys. Rev.
Lett. 82, 1987-1990 (1999) cond-mat/9902033
[pdf]
B. Derrida, S.C. Manrubia, D.H. Zanette,
On the genealogy of a population of biparental individuals
J. Theor. Biol. 203, 303-315 (2000)
physics/0003016
[pdf]
B. Derrida, S.C. Manrubia, D.H. Zanette,
Distribution of repetitions of ancestors in genealogical trees
Physica A 281, 1-16 (2000) cond-mat/9912059
[pdf]
B. Derrida, T.M.A. Fink,
Sequence determination from overlapping fragments: a simple model of
shotgun sequencing
Phys. Rev.
Lett. 88, 068106 (2002)
[pdf]
S.C. Manrubia, B. Derrida, D.H. Zanette,
Genealogy in the era of genomics
American Scientist 91, 158-165 (2003)
D. Simon, B. Derrida,
Evolution of the most recent common ancestor of a population with no selection
J. Stat. Mech. P05002 (2006)
cond-mat/0601167
[pdf]
E. Brunet, B. Derrida, A. H. Mueller, S. Munier,
Noisy traveling waves: Effect of selection on genealogies
Europhys. Lett., 76, 1-7 (2006)
cond-mat/0603160
[pdf]
E. Brunet, B. Derrida, A. H. Mueller, S. Munier,
Effect of selection on ancestry: an exactly soluble case and its phenomenological generalization
Phys. Rev. E 76, 041104 (2007)
cond-mat/0704.3389
[pdf]
B. Derrida, D. Simon,
The survival probability of a branching random
walk in presence of an absorbing wall
EPL 78, 60006 (2007)
cond-mat/0703353
[pdf]
D. Simon, B. Derrida,
Quasi-stationary regime of a branching random walk in presence of an absorbing wall
J. Stat. Phys. 131, 203-233 (2008)
cond-mat/0710.3689
[pdf]
E. Brunet, B. Derrida, D. Simon,
Universal tree structures in directed polymers and models of evolving populations
Phys. Rev. E 78, 061102 (2008)
cond-mat/0806.1603
[pdf]