# Julien Berestycki

## Publications

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 To appear in Probability Theory and Related Fields. (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, Volume 51, Number 3 (arXiv).(Journal).

29. L. Addario-Berry, J. Berestycki and S. Penington , Branching Brownian motion with decay of mass and the non-local Fisher-KPP equation Preprint, (arXiv)

## Lecture notes

1. Topics on branching Brownian motion (pdf).