Julien Berestycki

Publications

    Full list on arXiv
  1. J.Berestycki, Ranked Fragmentations (pdf)
    ESAIM. 6, 157-175 (2002)

  2. J.Berestycki, Multifractal Spectra of Fragmentation Processes (pdf)
    J.Statist. Phys. 113 (2003), no. 3-4, 411--430.

  3. J.Berestycki, Exchangeable fragmentation-coalescence processes and their equilibrium measures (pdf)
    JElectron. J. Probab. 9 (2004), no. 25, 770--824

  4. J.Berestycki, N. Berestycki and J. Schweinsberg. Beta-coalescents and continuous stable random trees (pdf)
    Ann. Probab. 35, 1835-1887 (2007)

  5. J.Berestycki, N. Berestycki and J. Schweinsberg. Small time behavior of Beta-coalescents. (pdf)
    Ann. Inst. H. Poincaré (B) 44(2), 214-238 (2008).

  6. J.Berestycki and N. Berestycki, Kingman's coalescent and Brownian motion. (pdf)
    Alea, 6, 239-259 (2009).

  7. V. Bansaye and J.Berestycki, Large deviations for branching process in random environment. (pdf)
    Markov Process. Related Fields. 15 , no. 4, 493--524 (2009)

  8. J.Berestycki, J. Bertoin, B. Haas and G. Miermont. Quelques Aspects Fractals des Framentations Aleatoires (pdf)
    Panoramas et Syntheses . 32 (2010) 243p

  9. J.Berestycki, N. Berestycki and V. Limic, The -coalescent speed of coming down from infinity (pdf)
    Ann. Probab., 38, 207-233 (2010).

  10. J.Berestycki, E. Brunet, J. W. Harris et S. C. Harris The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential (pdf).
    Stat. Pro. Letters. 80, Issues 17-18, 1-15, Pages 1442-1446. (2010)

  11. J.Berestycki, S. Harris and A. Kyprianou. Traveling waves and fragmentation (pdf).
    Ann. Appl. Probab., 21, Number 5, 1749--1794. (2011).

  12. J.Berestycki, A. Kyprianou and A. Murillo. The prolific backbone for supercritical superdiffusions (pdf).
    Stoch. Proc. Appl., 121/6, 1315--1331. (2011).

  13. J. Berestycki, N. Berestycki and Jason Schweinsberg, Survival of near-critical branching Brownian motion.
    J. Stat. Phys., 143( 5), 833--854, (2011). (pdf). (Journal)

  14. The genealogy of branching Brownian motion with absorption (with N. Berestycki and Jason Schweinsberg). (pdf)
    Ann. Probab., 41(2), 527--618 (2013).

  15. J. Berestycki, E. Aidekon, E. Brunet and Z. Shi. Branching Brownian motion seen from its tip .
    Proba. Theory Related Fields,157, Issue 1 (2013), Page 405--451. (pdf) (Journal)

  16. J. Berestycki, N. Berestycki and Vlada Limic, A small-time coupling between -coalescents and branching processes .
    Ann. Appl. Probab., 24, 2, 449--475 (2014). (pdf). (Journal)

  17. J. Berestycki, N. Berestycki and Vlada Limic, Asymptotic sampling formulae for -coalescents.
    Ann. Inst. H. Poincaré 2014, Vol. 50, No. 3, 715--731. (pdf). (Journal)

  18. J. Berestycki, L. Doering, L. Mytnik, L. Zambotti, Hitting properties and non-uniqueness for SDEs driven by stable processes
    Stoch. Proc. Appl., Volume 125, Issue 3, March 2015, Pages 918-940. (pdf) (Journal)

  19. J.Berestycki, E. Brunnet, J. W. Harris, S. Harris and M. Roberts Branching Brownian motion in inhomogeneous branching environment : total population size and growth along scaled paths.
    Stochastic process. Appl Vol. 125 No. 5 (2015) pp.2096--2145 , (pdf) (Journal)

  20. J. Berestycki, L. Doering, L. Mytnik, L. Zambotti, On Exceptional Times for generalized Fleming-Viot Processes with mutations.
    Stoch PDE: Anal Comp , (2014) 2:84--120. (pdf) (Journal)

  21. J. Berestycki, E. Brunet and Z. Shi The number of accessible paths in the hypercube
    Bernoulli Volume 22, Number 2 (2016), 653-680. (pdf). (Journal)

  22. J. Berestycki, N. berestycki and J. Schweinsberg. Critical branching Brownian motion with absorption: survival probability
    Probab. Theor. Related Fields, Vol. 160 No. 3-4 (2014) pp489--520. (pdf) (Journal)

  23. J. Berestycki, N. berestycki and J. Schweinsberg. Critical branching Brownian motion with absorption: particle configurations
    Ann. Inst. H. Poincare, Vol. 51 No. 4 (2015) 1215--1250 (pdf) (Journal) .

  24. J. Berestycki, E. Brunet and Z. Shi. Accessibility percolation with backsteps.
    ALEA Lat. Am.J. Probab. Math. Stat. 14, 45-62 (2017), (pdf). (Journal)

  25. J. Berestycki, M.C. Fittipaldi and J. Fontbona. Ray-Knight representation of flows of branching processes with competition by pruning of Levy trees Probability Theory and Related Fields, 2018, Volume 172, pp 725--788. (arXiv) (Journal).

  26. J. Berestycki, E. Brunet, S. Harris and M. Roberts, Vanishing corrections for the position in a linear model of FKPP fronts
    Comm. in Math. Physics . February 2017, Volume 349, Issue 3, pp 857-893. (arXiv). (Journal)

  27. J. Beresycki E. Brunet, S. Harris and P. Milos, Branching Brownian motion with absorption and the all-time minimum of branching Brownian motion with drift.
    Journal of Functional Analysis. Volume 273, Issue 6, 2017, Pages 2107-2143. (arXiv) (Journal)

  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, 2017 Volume 51, Number 3 (arXiv).(Journal).

  29. 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 Volume 122, Number 1 (arXiv).(Journal).

  30. 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., 72: 2487-2577 (2019) 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 (November 2022). DOI: 10.1214/21-AIHP1212. (arXiv) (Journal)

  33. R. Stasinski, J. Berestycki, B. Mallein, Derivative martingale of the branching Brownian motion in dimension $d>1$
    Ann. Inst. H. Poincaré, 2021, Vol. 57, No. 3, 1786--1810. (arXiv) (Journal)

  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 (arXiv) (Journal)

  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. https://doi.org/10.1214/22-AOP1578 (arXiv) (Journal)

  36. J. Berestycki , E. Brunet, C. Graham, L. Mytnik, J.-M.l Roquejoffre, L. Ryzhik, The distance between the two BBM leaders
    Nonlinearity, Volume 35, Number 4. DOI 10.1088/1361-6544/ac4a8e (arXiv) (Journal)

  37. J. Berestycki, Y. Kim, E. Lubetzky, B. Mallein and O. Zeitouni, The extremal point process of branching Brownian motion in R^d
    To appear in Annals of Probability. (arXiv) (Journal version)

  38. J. Berestycki, C. Graham, Y. Kim, and B. Mallein KPP traveling waves in the half-space
    Preprint (arXiv)

  39. J. Berestycki and E. Brunet, A note of the convergence of the Fisher-KPP front centred around its alpha-level Preprint, (arXiv)

Lecture notes

  1. Topics on branching Brownian motion (pdf).