, Aging and immortality in a cell proliferation model, Journal of Theoretical Biology, vol.248, issue.3, pp.411-417, 2007.
DOI : 10.1016/j.jtbi.2007.06.009
, Nonlinear diffusion in population genetics, combustion, and nerve propagation, Lecture notes in mathematics, pp.5-49, 1975.
, Multidimensional nonlinear diffusion arising in population genetics, Advances in Mathematics, vol.30, pp.33-78, 1978.
, An exactly solved model for mutation, recombination and selection, Canadian Journal of Mathematics, vol.55, issue.3, 2003.
, Alpha-Stable Branching and Beta-Coalescents, Electronic Journal of Probability, vol.10, issue.0, pp.303-325, 2005.
DOI : 10.1214/EJP.v10-241
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.174.6361
, The asymptotic number of blocks in a lambda coalescent, 2007.
, Beta-coalescents and continuous stable random trees, The Annals of Probability, vol.35, issue.5, pp.1835-1887, 2007.
DOI : 10.1214/009117906000001114
URL : http://arxiv.org/abs/math/0602113
, Speed of fronts of the reactiondiffusion equation, Phys. Rev. Lett, pp.1171-1173, 1996.
, Shift in the velocity of a front due to a cutoff, Physical Review E, vol.56, issue.3, pp.2597-2604, 1997.
DOI : 10.1103/PhysRevE.56.2597
, Noisy traveling waves : Effect of selection on genealogies, Europhys. Lett, p.76, 2006.
, Phenomenological theory giving the full statistics of the position of fluctuating pulled fronts, Phys. Rev. E, pp.73-056126, 2006.
, Coalescence times in presence and in absence of selection, in preparation, 2008.
, The speed of propagation for KPP type problems. I: Periodic framework, Journal of the European Mathematical Society, vol.7, pp.173-213, 2005.
DOI : 10.4171/JEMS/26
URL : https://hal.archives-ouvertes.fr/hal-00003805
, Reaction-diffusion equations and biological invasion models in periodic media, Note C. R. Acad. Sc. Paris, pp.339-549, 2004.
, Pattern propagation in nonlinear dissipative systems, Physica, pp.14-348, 1985.
, The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes, Probab. Th. Rel. Fields, pp.117-249, 2000.
, Natural selection has driven population differentiation in modern humans, Nature genetics, 2008.
, Convergence of solutions of the Kolmogorov equation to traveling waves, Mem, Am. Math. Soc, pp.44-45, 1983.
, On Ruelle's Probability Cascades and an Abstract Cavity Method, Communications in Mathematical Physics, vol.197, issue.2, pp.247-276, 1998.
DOI : 10.1007/s002200050450
, Epidemic modeling in complex realities, Comptes Rendus Biologies, vol.330, issue.4, p.330, 2007.
DOI : 10.1016/j.crvi.2007.02.014
, Quasi-stationary distributions and diffusion models in population dynamics, p.703781, 2007.
, Role of fluctuations for inhomogeneous reaction-diffusion phenomena, Physical Review A, vol.44, issue.8, pp.44-4826, 1991.
DOI : 10.1103/PhysRevA.44.4826
, Recent common ancestors of all present-day individuals, Advances in Appl, Prob, pp.31-1002, 1999.
, Asymptotic laws for one-dimensional diffusions conditionned to non-absorption, pp.1300-1314, 1995.
, Coalescing Random Walks and Voter Model Consensus Times on the Torus in $\mathbb{Z}^d$, The Annals of Probability, vol.17, issue.4, pp.1333-1366, 1989.
DOI : 10.1214/aop/1176991158
, KPP equation and supercritical branching brownian motion in the subcritical speed area. Application to spatial trees, Probability Theory and Related Fields, vol.54, issue.2, pp.80-299, 1988.
DOI : 10.1007/BF00356108
, Theory of Branching and Annihilating Random Walks, Physical Review Letters, vol.77, issue.23, pp.4780-4783, 1996.
DOI : 10.1103/PhysRevLett.77.4780
, Field theory of branching and annihilating random walks, Journal of Statistical Physics, pp.90-91, 1998.
, Statistical properties of valleys in the annealed random map model, Journal of Physics A: Mathematical and General, vol.21, issue.9, pp.509-515, 1988.
DOI : 10.1088/0305-4470/21/9/006
, Beneficial Mutation Selection Balance and the Effect of Linkage on Positive Selection, Genetics, vol.176, issue.3, pp.176-1759, 2007.
DOI : 10.1534/genetics.106.067678
, Nonequilibrium phase transitions in epidemics and sandpiles, Physica A, vol.306, pp.90-97, 2002.
, Interacting particles, the stochastic Fisher???Kolmogorov???Petrovsky???Piscounov equation, and duality, Physica A: Statistical Mechanics and its Applications, vol.325, issue.1-2, pp.325-243, 2003.
DOI : 10.1016/S0378-4371(03)00203-6
, Estimating mutation parameters, population history, and genealogies simultaneously using temporally spaced sequence data, Genetics, pp.161-1307
, Weak convergence to a markov chain with an entrance boundary : ancestral processes in population genetics, The Annals of Probability, pp.1102-1117, 1991.
, Evolution in a flat fitness landscape, Bulletin of Mathematical Biology, vol.23, issue.3, pp.355-382, 1991.
DOI : 10.1007/BF02460723
, Polymers on disordered trees, spin glasses, and traveling waves, Journal of Statistical Physics, vol.46, issue.5-6, pp.51-817, 1988.
DOI : 10.1007/BF01014886
, The survival probability of a branching random walk in presence of an absorbing wall, Europhysics Letters (EPL), vol.78, issue.6, pp.78-60006, 2007.
DOI : 10.1209/0295-5075/78/60006
, Path integrals and perturbation theory for stochastic processes, Brazilian Journal of Physics, vol.33, issue.1, pp.73-93, 2003.
DOI : 10.1590/S0103-97332003000100005
, The sampling theory of selectively neutral alleles, Theoretical Population Biology, vol.3, pp.87-112, 1972.
, Design of genetic networks with specified functions by evolution in silico, Proc. Natl. Acad. Sci. USA, pp.580-585, 2004.
DOI : 10.1073/pnas.0304532101
, The Genetical Theory of Natural Selection, 1930.
, Estimating the age of the common ancestor of a sample of DNA sequences, Molecular Biology and Evolution, vol.14, issue.2, pp.195-199, 1997.
DOI : 10.1093/oxfordjournals.molbev.a025753
, On the time back to the most recent common ancestor and the external branch length of the Bolthausen-Sznitman coalescent, submitted to Markov Process, 2007.
, Phase transition for absorbed Brownian motion with drift, Journal of Statistical Physics, vol.56, issue.3, pp.213-231, 1997.
DOI : 10.1007/BF02180205
, Some properties on quasistationary distributions in the birth and death chains, Instabilities and nonequilibrium structures III, Mathematics and its applications, pp.177-187, 1991.
, Existence of nontrivial quasi stationary distributions in the birth and death chain, Adv. Appl. Probability, vol.24, pp.795-813, 1992.
, Genealogies of shocks in Burgers turbulence with white noise initial velocity, Comm. Math. Phys, vol.1, pp.67-86, 2001.
, Direct Evaluation of Large-Deviation Functions, Physical Review Letters, vol.96, issue.12, p.120603, 2006.
DOI : 10.1103/PhysRevLett.96.120603
, The fate of competing beneficial mutations in an asexual population, Genetica, vol.102103, pp.127-144, 1998.
DOI : 10.1007/978-94-011-5210-5_12
, Ewens??? sampling formula and related formulae: combinatorial proofs, extensions to variable population size and applications to ages of alleles, Theoretical Population Biology, vol.68, issue.3, pp.68-167, 2005.
DOI : 10.1016/j.tpb.2005.02.004
, The structure of evolutionary theory, Cambridge (Mass, 2002.
, Table of integrals, series, and products, p.cinquième édition, 1994.
, On the Probability of the Extinction of Families, Journal of the Anthropological Institute, vol.3, pp.308-311, 1874.
DOI : 10.1007/978-3-642-81046-6_44
, The theory of branching processes, 1962.
, A new formulation of the spine approach to branching diffusions, Mathematics Preprint, p.404, 2004.
, Survival probabilities for branching Brownian motion with absorption, Electronic Communications in Probability, vol.12, issue.0, pp.81-92, 2007.
DOI : 10.1214/ECP.v12-1259
, Further probabilistic analysis of the Fisher???Kolmogorov???Petrovskii???Piscounov equation: one sided travelling-waves, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.42, issue.1, pp.42-125, 2006.
DOI : 10.1016/j.anihpb.2005.02.005
, Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics, Physics Reports, vol.254, issue.4-6, pp.215-414, 1995.
DOI : 10.1016/0370-1573(94)00087-J
, Non-equilibrium critical phenomena and phase transitions into absorbing states, Advances in physics, pp.815-958, 2000.
, Travelling fronts in nonlinear diffusion equations, Journal Of Mathematical Biology, vol.A, issue.1, pp.251-263, 1975.
DOI : 10.1007/BF00277154
, Gene genealogies, variation and evolution : a primer in coalescent theory, 2005.
, Properties of a neutral allele model with intragenic recombination , Theoretical population biology, pp.183-201, 1983.
, Universal behavior of QCD amplitudes at high energy from general tools of statistical physics, Physics Letters B, vol.606, issue.3-4, pp.342-350, 2005.
DOI : 10.1016/j.physletb.2004.12.009
, Evolutionary dynamics of the most populated genotype on rugged fitness landscapes, Phys. Rev. E, pp.76-031922, 2007.
, Deterministic and Stochastic Regimes of Asexual Evolution on Rugged Fitness Landscapes, Genetics, vol.175, issue.3, pp.175-1275, 2006.
DOI : 10.1534/genetics.106.067165
, Discrete polynuclear growth and determinantal processes, Comm. Math. Phys, vol.242, pp.277-329, 2003.
, Some statistical improvements for estimating population size and mutation rate from segregating sites in DNA sequences, Theor, Popul. Biol, pp.55-235, 1999.
, The number of alleles that can be maintained in a finite population, Genetics, pp.49-725, 1964.
, The coalescent process in models with selection, Genetics, pp.120-819, 1988.
, Branching brownian motion with absorption, Stoch. Process. Appl, vol.7, pp.9-47, 1978.
, Processus de galton-watson, Lecture notes in Math, pp.321-122, 1973.
, Stochastic processes and the distribution of gene frequencies under natural selection, Cold Spring Harbor Symp, Quant. Biol, vol.20, pp.33-53, 1955.
, The number of heterozygous nucleotide sites maintained in a finite population due to steady flux of mutations, Genetics, pp.61-893, 1969.
, The coalescent, Stoch. Process, vol.13, pp.235-248, 1982.
, On the genealogy of large populations, J. Appl. Probab, vol.19, pp.27-43, 1982.
, Distribution of Korean family names, Physica A: Statistical Mechanics and its Applications, vol.347, pp.683-694, 2005.
DOI : 10.1016/j.physa.2004.08.028
, Dynamic Scaling of Growing Interfaces, Physical Review Letters, vol.56, issue.9, pp.889-892, 1986.
DOI : 10.1103/PhysRevLett.56.889
, Fluctuation-dominated kinetics in diffusion-controlled reactions, Physical Review A, vol.32, issue.1, pp.435-447, 1985.
DOI : 10.1103/PhysRevA.32.435
, Travelling wave solutions to the KPP equation : alternatives to Simon Harris's probabilistic analysis, Ann. Inst. H. Poincaré Probab. Statist, pp.40-53, 2004.
, Scaling of Directed Polymers in Random Media, Physical Review Letters, vol.58, issue.20, pp.2087-2090, 1987.
DOI : 10.1103/PhysRevLett.58.2087
, Quasi-stationary distributions and the continuous-state branching process conditioned to be never extinct, Elect. Journ. Prob, vol.12, pp.420-446, 2007.
, On the use of matrices in certain population mathematics, Biometrika, pp.33-184, 1945.
, Conceptual Proofs of $L$ Log $L$ Criteria for Mean Behavior of Branching Processes, The Annals of Probability, vol.23, issue.3, pp.1125-1138, 1995.
DOI : 10.1214/aop/1176988176
, The spatial lambda-coalescent, Elect, Journ. Prob, vol.11, pp.363-393, 2006.
, Application of Brownian-motion to equation of Kolmogorov-Petrovskii-Piskunov, Commun. Pure Appl. Math, vol.28, pp.323-331, 1975.
, The dynamics of physiologically structured populations, Lecture notes in biomathematics, 1986.
, The asymptotic speed of a random traveling wave, preprint, 2008.
, On sampling distributions for coalescent processes with simultaneous multiple collisions, Bernoulli, vol.12, pp.35-53, 2006.
, Random processes in genetics, Proceedings of the Cambridge Philosophical Society, pp.60-71, 1958.
, Traveling waves and geometric scaling at nonzero momentum transfer, Nuclear Physics A, vol.756, issue.3-4, pp.756-399, 2005.
DOI : 10.1016/j.nuclphysa.2005.03.089
URL : http://arxiv.org/abs/hep-ph/0502020
, Random Travelling Waves for the KPP Equation with Noise, Journal of Functional Analysis, vol.128, issue.2, pp.439-498, 1995.
DOI : 10.1006/jfan.1995.1038
, Lectures at the summer college on frustrated system, cond- mat, 1997.
, asymptotics for non-linear diffusion in a large ball with infinite boundary date and on R d with infinite initial data outside a large ball, Com. Part. Diff. Eq, vol.20, pp.1369-1393, 1995.
, Coalescents with multiple collisions, Ann. Probab, vol.27, pp.1870-1902, 1999.
, Scale invariance of the PNG droplet and the Airy process, J. Stat. Phys, vol.108, pp.1076-1106, 2002.
, Weakly pushed nature of " pulled " fronts with a cutoff, Phys. Rev. E, pp.65-057202, 2002.
, The traveling-wave approach to asexual evolution: Muller's ratchet and speed of adaptation, Theoretical Population Biology, vol.73, issue.1, 2007.
DOI : 10.1016/j.tpb.2007.10.004
, The solitary wave of asexual evolution, Proc. Natl. Acad. Sci. USA, pp.587-592, 2003.
DOI : 10.1073/pnas.242719299
, The inviscid Burgers equation with initial data of Brownian type, Communications in Mathematical Physics, vol.238, issue.3, pp.623-641, 1992.
DOI : 10.1007/BF02096551
, The general coalescent with asynchronous mergers of ancestral lines, J. Appl. Prob, vol.36, pp.1116-1125, 1999.
, Evolution of the most recent common ancestor of a population with no selection, Journal of Statistical Mechanics: Theory and Experiment, vol.2006, issue.05, p.5002, 2006.
DOI : 10.1088/1742-5468/2006/05/P05002
, Quasi-stationary regime of a branching random walk in presence of an absorbing wall, J. Stat. Phys, 2008.
, Markov mortality models : Implications of quasistationarity and varying initial conditions, Theoretical Population Biology, p.65, 2004.
, Quasistationary distributions for onedimensional diffusions with killing, Amer, Transactions of the American Mathematical Society, vol.359, issue.03, pp.1285-1324, 2005.
DOI : 10.1090/S0002-9947-06-03980-8
, On the genealogy of populations : trees, branches and offsprings, J. Stat. Mech, 2005.
, The application of statistical physics to evolutionary biology, Proceedings of the National Academy of Sciences, vol.102, issue.27, pp.9541-9546, 2005.
DOI : 10.1073/pnas.0501865102
, Statistics of shocks in solutions of inviscid Burgers equation, Comm. Math. Phys, vol.148, pp.601-621, 1992.
, A branching process with mean one and possibly infinite variance, Probab. Th. Rel. Fields, issue.9, pp.139-145, 1968.
, On two types of moving front in quasilinear diffusion, Mathematical Bioscience, pp.31-307, 1976.
, On the genealogy of nested subsamples from a haploid population, Advances in Applied Probability, vol.9, issue.03, pp.471-491, 1984.
DOI : 10.1016/0304-4149(82)90011-4
, On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states, Journal of Applied Probability, vol.1, issue.02, pp.403-434, 1966.
DOI : 10.1093/qmath/13.1.7
, Evolutionary relationship of DNA sequences in finite populations, Genetics, pp.105-437, 1983.
, Inferring coalescence times from DNA sequence data, Genetics, pp.145-505, 1997.
, Vollmayr-Lee, Applications of fieldtheoretic renormalization group methods to reaction-diffusion problems, J. Phys. A, pp.38-79, 2005.
, RNA Virus Evolution via a Fitness-Space Model, Physical Review Letters, vol.76, issue.23, pp.4440-4443, 1996.
DOI : 10.1103/PhysRevLett.76.4440
, Three basic issues concerning interface dynamics in nonequilibrium pattern formation, Physics Reports, vol.301, issue.1-3, pp.9-43, 1998.
DOI : 10.1016/S0370-1573(98)00004-0
, Gene genealogies in a metapopulation, Genetics, pp.159-893, 2001.
, Coalescent theory : an introduction, 2007.
, On the number of segregating sites in genetical models without recombination, Theor, Popul. Biol, vol.7, pp.256-276, 1975.
, The Critical State, General Aspects, Phase Transitions and Critical Phenomena, 1976.
, Genealogy and subpopulation differentiation under various models of population structure, Journal of Mathematical Biology, vol.37, issue.6, pp.535-585, 1998.
DOI : 10.1007/s002850050140