Publications

Full list

Full list on arXiv

  1. Ranked Fragmentations ESAIM Probab. Statist. 6 (2002) p.157. Journal arXiv
  2. J. Berestycki Multifractal Spectra of Homogeneous Fragmentations J. Statist. Phys. 113 (2003) no. 3-4, 411-430. Journal
  3. J. Berestycki Exchangeable fragmentation-coalescence and their equilibrium measures Electron. J. Probab. 9 (2004); 770-824. Journal arXiv
  4. J. Berestycki, N. Berestycki and J. Schweinsberg Beta-coalescents and continuous stable random trees Ann. Probab. 35 (2007), 1835-1887. Journal arXiv
  5. J. Berestycki, N. Berestycki and J. Schweinsberg Small-time behavior of beta coalescents Ann. Inst. H. Poincaré Probab. Statist. 44 (2008), 214-238. Journal arXiv
  6. J. Berestycki and N. Berestycki Kingman coalescent and the Brownian excursion Alea 6 (2009), 239-259. Journal arXiv
  7. J. Berestycki and V. Bansaye Large deviations for branching process in random environment Markov Process. Related Fields 15 (2009), no. 4, 493-52. arXiv
  8. J. Berestycki, J. Bertoin, B. Haas and G. Miermont Quelques Aspects Fractals des Fragmentations Aléatoires Panoramas et Synthèses, 32 (2010).
  9. J. Berestycki, N. Berestycki and V. Limic The Λ-coalescent speed of coming down from infinity Ann. Probab. 38 (2010), no. 1, 207-233. arXiv Journal
  10. J. Berestycki, E. Brunet, J. W. Harris and S. C. Harris The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential Stat. Pro. Letters. 80 (2010), (17-18), pp. 1442-1446. arXiv Journal
  11. J. Berestycki, S. C. Harris and A. Kyprianou Traveling waves and fragmentation Ann. Appl. Probab. 21 (2011), no. 5, 1749-1794. arXiv
  12. J. Berestycki, A. Kyprianou and A. Murillo The prolific backbone for supercritical superdiffusions Stochastic Process. Appl. 121 (2011) no. 6, 1315-1331. arXiv
  13. J. Berestycki, N. Berestycki and J. Schweinsberg Survival of near-critical branching Brownian motion J. Statist. Phys. 143 (2011), no. 5, 833-854. Journal arXiv
  14. J. Berestycki, N. Berestycki and J. Schweinsberg The genealogy of branching Brownian motion with absorption Ann. Probab. Vol. 41, Number 2 (2013), 527-618. Journal arXiv
  15. E. Aidekon, J. Berestycki, E. Brunet and Z. Shi The branching Brownian motion seen from its tip Probab. Theory Related Fields. Vol. 157, Issue 1 (2013), Page 405-451. Journal arXiv
  16. J. Berestycki, N. Berestycki and V. Limic Asymptotic sampling formulae for Λ-coalescents Ann. Inst. H. Poincaré Probab. Statist. Vol. 50, No. 3 (2014), 715-731. Journal arXiv
  17. J. Berestycki, N. Berestycki and V. Limic A small-time coupling between Λ-coalescents and branching processes Ann. Appl. Probab. Vol. 24 (2) (2014). Journal arXiv
  18. J. Berestycki, L. Doering, L. Mytnik and L. Zambotti On Exceptional Times for generalized Fleming-Viot Processes with Mutations Stochastic Partial Differential Equations: Analysis and Computations Vol. 2 (1) (2014). Journal arXiv
  19. J. Berestycki, L. Doering, L. Mytnik and L. Zambotti Hitting properties and non-uniqueness for SDEs driven by stable processes Stochastic Process. Appl. Vol. 125 (3) (2015). Journal arXiv
  20. J. Berestycki, E. Brunet, S. C. Harris and M. Roberts Growth rates of the Population in a Branching Brownian motion with an inhomogeneous breeding potential Stochastic Process. Appl. Vol. 125 (5) (2015). arXiv
  21. J. Berestycki, E. Brunet and Z. Shi The number of accessible paths in the hypercube Bernoulli Vol. 22 (2) (2016). Journal arXiv
  22. J. Berestycki, N. Berestycki and J. Schweinsberg Critical branching Brownian motion with absorption: survival probability Probab. Theory Related Fields. Vol. 160, no. 3-4 (2014). Journal arXiv
  23. J. Berestycki, N. Berestycki and J. Schweinsberg Critical branching Brownian motion with absorption: particle configurations Ann. Inst. H. Poincaré Probab. Statist. Vol. 51, Number 4 (2015). Journal arXiv
  24. J. Berestycki, E. Brunet and Z. Shi Accessibility percolation with back-steps ALEA Lat. Am. J. Probab. Math. Stat. 14 (2017). Journal arXiv
  25. J. Berestycki, M. C. Fittipaldi and J. Fontbona Ray-Knight representation of flows of branching processes with competition by pruning of Lévy trees Prob. Theory Related Fields., 2018, Volume 172, pp 725-788. Journal arXiv
  26. J. Berestycki, E. Brunet, S. C. Harris and M. Roberts Vanishing corrections for the position in a linear model of FKPP fronts Comm. Math. Phys 349 (3), (2017). Journal arXiv
  27. J. Berestycki, E. Brunet, S. C. Harris and P. Milos Branching Brownian motion with absorption and the all-time minimum of branching Brownian motion with drift Journal of Functional Analysis Vol. 273, (6) (2017). Journal arXiv
  28. J. Berestycki, E. Brunet and B. Derrida Exact solution and precise asymptotics of a Fisher-KPP type front Journal of Physics A: Mathematical and Theoretical, Volume 51, Number 3 (2017). Journal arXiv
  29. L. Addario-Berry, J. Berestycki and S. Penington Branching Brownian motion with decay of mass and the non-local Fisher-KPP equation Comm. Pure Appl. Math. Vol. 72: 2487-2577 (2019). arXiv Journal
  30. J. Berestycki, E. Brunet and B. Derrida A new approach to computing the asymptotics of the position of Fisher-KPP fronts EPL Europhys. Letters, 2018 Vol. 122-1. Journal arXiv
  31. J. Berestycki, E. Brunet and S. Penington Global existence for a free boundary problem of Fisher-KPP type Nonlinearity. Vol. 32, Number 10 (2019). Journal arXiv
  32. J. Berestycki, E. Brunet, B. Mallein and A. Cortines A simple backward construction of Branching Brownian motion with large displacement and applications Ann. Inst. H. Poincaré, 58(4): 2094-2113 (2022). Journal arXiv
  33. R. Stasinski, J. Berestycki and B. Mallein Derivative martingale of the branching Brownian motion in dimension d>1 Ann. Inst. H. Poincaré Vol. 57, No. 3, 1786-1810 (2021). Journal arXiv
  34. J. Berestycki, E. Brunet, J. Nolen and S. Penington A free boundary problem arising from branching Brownian motion with selection Trans. Amer. Math. Soc. 374 (2021), 6269-6329. Journal arXiv
  35. J. Berestycki, E. Brunet, J. Nolen and S. Penington Brownian bees in the infinite swarm limit Ann. Probab. 50 (6) 2133-2177, November 2022. arXiv
  36. J. Berestycki, E. Brunet, C. Graham, L. Mytnik, J.-M. Roquejoffre and L. Ryzhik The distance between the two BBM leaders Nonlinearity. Vol. 35, No. 4 (2022). Link arXiv
  37. J. Berestycki, Y. Kim, E. Lubetzky, B. Mallein and O. Zeitouni The extremal point process of branching Brownian motion in Rd Ann. Probab. 52 (3) (May 2024), pgs 955-982. Link arXiv
  38. J. Berestycki, C. Graham, Y. Kim and B. Mallein KPP traveling waves in the half-space Commun. Math. Phys. Vol. 406, 275 (2025). Link arXiv
  39. J. Berestycki, J. Liu, B. Mallein and J. Schweinsberg Phase transition of the consistent maximal displacement of branching Brownian motion To appear in Ann. Inst. H. Poincaré. arXiv
  40. J. Berestycki, J. Liu, B. Mallein and J. Schweinsberg The Yaglom limit for branching Brownian motion with absorption and slightly subcritical drift To appear in Ann. Inst. H. Poincaré. arXiv
  41. J. Berestycki, N. Gantert, D. Geldbach and N. Gantert Biased branching random walks on Bienaymé-Galton-Watson trees Preprint. arXiv
  42. J. Berestycki and O. Tough Selection principle for the N-BBM Preprint. arXiv
  43. J. Berestycki, D. Geldbach and M. Pain Polynomial slowdown in space-inhomogeneous branching Brownian motion Preprint. arXiv
  44. J. Berestycki, S. Penington and O. Tough Convergence and front position for an FKPP-type free boundary problem Preprint. arXiv

Lecture notes

  1. Topics on branching Brownian motion
    PDF