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
    Ann. Probab. 52(3): 955-982 (May 2024). DOI: 10.1214/23-AOP1677 (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, J. Liu, B. Mallein, J. Schweinsberg KPP The Yaglom limit for branching Brownian motion with absorption and slightly subcritical drift
    Preprint (arXiv)

  40. J. Berestycki, J. Liu, B. Mallein, J. Schweinsberg KPP Phase transition of the consistent maximal displacement of branching Brownian motion
    Preprint (arXiv)

  41. J. Berestycki, O. Tough Selection principle for the N-BBM
    Preprint (arXiv)

  42. 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).