Publications

Pre-Publications

• F. Foutel–Rodier, E. Schertzer, J. Tourniaire 
  Convergence of spatial branching processes to α-stable CSBPs: Genealogy of semi-pushed fronts
  arXiv:2402.05096 (2024)

• G. Achaz, E. Schertzer
  Weak genetic draft and the Lewontin’s paradox
  BioArxiv

• E. Schertzer, A. Wences
  Relative vs absolute fitness in a population genetics model. How stronger selection may promote genetic diversity
  arXiv:2301.07762 (2023)

Publications

• A. Gonzales Casanova, V. Miro Pina, E. Schertzer, A. Siri-Jigousse.
  The stochastic speed of coming down from infinity for general Dirichlet Xi-coalescents.
  Electronic Journal of Probability (2024)

• F. Boenkost, F. Foutel-Rodier, E. Schertzer.
  The genealogy of a nearly critical branching processes in varying environment.
  Annales of IHP (2024)

• JJ Duschamps, F. Foutel-Rodier, E. Schertzer.
  General epidemiological models: Law of large numbers and contact tracing.
  Electronic Journal of Probability (2024)

• E. Schertzer, F. Simatos
  Height and contour processes of Crump-Mode-Jagers forests (III): The binary, homogeneous universality class.
  Annales of IHP (2024) 

• E. Schertzer, J. Tourniaire
  Spectral analysis and k-spine decomposition of inhomogeneous branching Brownian motions. Genealogies in fully pushed fronts
  Annals of Probability (2024)

• E. Couvert et al.
  Opening the species box: What microscopic parsimonious models of speciation have to say about macroevolution
  Journal of Evolutionary Biology (2024)

• F. Foutel-Rodier. E. Schertzer.
  Convergence of genealogies through spinal decomposition with an application to population genetics.
  Probability Theory and related Fields (2023)

• P. Czuppon, E. Schertzer, F. Blanquart, F. Debarre. The stochastic dynamics of early epidemics: probability of establishment, initial growth rate, and infection cluster size at first detection. J. Royal Society Interface (2021).

• F. Foutel-Rodier et al. From individual-based epidemic models to McKendrick-von Foerster PDEs: A guide to modeling and inferring COVID-19 dynamics. Accepted in Journal of Mathematical Biology. Available at arXiv:2007.09622 (2020)

• F. Foutel–Rodier. A. Lambert, E. Schertzer.
  Kingman’s coalescent with erosion.
  Electronic Journal of Probability 25 (2020).

• F. Cordero, S. Hummel, E. Schertzer.
  General selection models: Bernstein duality and minimal ancestral structures.
  Accepted in Annals of Applied Probability (2021).

• V. Miro Pina, A. Lambert, E. Schertzer.
  Chromosome painting.
  Annals of Applied Probability 31.2 (2021)

• F. Foutel–Rodier, A. Lambert, E. Schertzer.
  Exchangeable coalescents, ultrametric spaces, nested interval-partitions: A unifying approach.
  Accepted in Annals of Applied Probability (2021).

• A. Lambert, E. Schertzer.
  Coagulation-transport equations and the nested coalescents. 
  Probability Theory and Related Fields. p. 1-71. 2018

• E. Schertzer, F. Simatos.
  Height and contour processes of Crump-Mode-Jagers forests (II): The Bellman-Harris universality class.
  Electronic Journal of Probability. 24, 2019.

• E. Schertzer, R. Sun.
  Perturbations of supercritical oriented percolation and sticky Brownian webs.
  https://arxiv.org/abs/1811.01849. To appear in the Festschrift in honor of Prof. Charles M. Newman’s 70th birthday.

• E. Schertzer, C.A. Staver.
  Fire spread and the issue of community- level selection in the evolution of flammability.
  J R Soc Interface. 15, 2018.

• V. Miro Pina, E. Schertzer.
  How does geographic distance translate into genetic distance.
  Stochastic Processes and Applications. 10, p. 3893-3921, 2019.

• G. Achaz, A. Lambert, E. Schertzer.
  The sequential loss of allelic diversity.
  Festschrift in the honor of Peter Jagers. Advances in Applied Probability. 50, p. 13-29, 2018.

• E. Schertzer, F. Simatos.
  Height and contour processes of Crump-Mode-Jagers forests (I): general distribution and scaling limits in the case of short edges.
  Electronic  Journal of Probability, 2018.

• A. Lambert, E. Schertzer.
  Recovering the Brownian Coalescent Point Process from the Kingman Coalescent by Conditional Sampling.
  Bernoulli.  1, p. 148-173, 2018.

• E. Schertzer.
  Renewal Structure of the Brownian Taut String. 
  Stoch. Proc. and their Appl. 128, p 487-504, 2018.

• C. Newman,  K. Ravishankar, E. Schertzer.
  Perturbations of the Voter Model in One-Dimension.
  Electronic Journal of Probability. 22,  2017.

• E. Schertzer, R. Sun,  J. Swart.
  The Brownian web, the Brownian net, and their universality.
  Advances in Disordered. Systems, Random Processes and Some Applications. Cambridge University Press. p 27-368, 2017.

• A. Hartnett, E. Schertzer, I. Couzin, S.A. Levin.
  Heterogeneous Preference and Local Nonlinearity in Consensus Decision-Making.
  Phys. Rev. Let. 116, 2016.

• A. Berdahl, C.J. Torney, E. Schertzer, S.A. Levin.
  On the evolutionary interplay between dispersal and local adaptation in heterogeneous environments.
  Evolution, 69 (6), p. 1390-1405, 2015

• E. Schertzer
  Trimming a Tree and the Two-Sided Skorohod Reflection.
  Alea. 12, p 8111-834, 2015

• C. Newman,  K. Ravishankar, E. Schertzer.
  The Brownian Net with Killing.
  Stoch. Proc. and their Appl., 125, p. 1148-1194,  2015.

• E. Schertzer, C.A. Staver, S.A.  Levin
  Implications of the spatial dynamics of fire spread for the bistability of savanna and forest.
  J Math Biol. 70, p 329-34, 2015.

• E. Schertzer, R. Sun, J. Swart.
  Stochastic flows in the Brownian web and net.
  A.M.S. Memoirs. 227, 2014.

• C.M. Newman, K. Ravishankar, E. Schertzer.
  Marking the (1,2) points of the Brownian web and applications.
  Ann. Inst. H. Poincar\’e. Probab. Stat. 46, 537-574, 2010.

• E. Schertzer, R. Sun, J.Swart.
  Special points of the brownian net.
  Electronic Journal of Probability. 14, 805-864, 2009.

• L.R.G. Fontes, C.M. Newman, K. Ravishankar, E. Schertzer
  Exceptional times for the dynamical discrete web.
  Stoch. Processes and their Application. 119, 2832–2858, 2009.