====== Thèmes de Recherche ======

  * Processus de contact sur les graphes aléatoires 

  * Processus avec mémoire ("self-interacting")/processus en paysage aléatoire. 

  * Marches aléatoires/Frontière de Poisson. 

  * Processus stochastiques et analyse harmonique associés aux systèmes de racine. 
====== Coauteurs ======
[[https://www.idpoisson.fr/anker//|J.-P. Anker]],
[[http://perso-math.univ-mlv.fr/users/asselah.amine//|A. Asselah]],
[[http://www.normalesup.org/~basdevant/|A.-L. Basdevant]], [[http://members.unine.ch/michel.benaim/perso/benaim.html|M. Benaïm]], [[http://www.wisdom.weizmann.ac.il/~itai/|I. Benjamini]], [[http://www.math.u-psud.fr/~broff/|S. Brofferio]], [[https://www.i2m.univ-amu.fr/spip.php?page=pageperso&nom=Can&prenom=Van%20hao|V. H. Can]], [[http://www.cmi.univ-mrs.fr/~castell/Page_Perso_de_Fabienne_Castell/Bienvenue.html|F. Castell]], [[http://math.univ-lyon1.fr/~guillotin/|N. Guillotin-Plantard]], [[http://www.math.univ-paris13.fr/~yueyun/|Y. Hu]], [[https://sites.google.com/a/nyu.edu/daniel-kious/|D. Kious]],[[http://www.wisdom.weizmann.ac.il/~gadyk/|G. Kozma]],
[[http://perso.ens-lyon.fr/lyuben.lichev/|L. Lichev]], 
[[http://dim.uchile.cl/~alinker/|A. Linker]], [[https://uk.linkedin.com/in/bas-lodewijks-30294aba/|B. Lodewijks]], [[https://people.bath.ac.uk/cdm37/|C. Mailler]], 
[[http://math.univ-lyon1.fr/~mitsche/|D. Mitsche]], [[https://www.researchgate.net/scientific-contributions/Izumi-Okada-2185260508|I. Okada]], 
[[http://www.maths.usyd.edu.au/u/jamesp/|J. Parkinson]], 
[[http://research.microsoft.com/en-us/um/people/peres/|Y. Peres]], [[http://lmba.math.univ-brest.fr/perso/francoise.pene/|F. Pène]], [[http://raimond.perso.math.cnrs.fr|O. Raimond]],[[http://mate.dm.uba.ar/~leorolla//|L. Rolla]],  [[http://www.math.u-psud.fr/~stats/NEW/membres_equipe.php|A. Singh]], [[http://www.statslab.cam.ac.uk/~ps422/|P. Sousi]],
[[https://www.researchgate.net/profile/Bartosz-Trojan|B. Trojan]], [[http://www.math.rug.nl/~valesin/|D. Valesin]], [[http://www.math.toronto.edu/~ryoung/|R. Young]]. 
====== Prépublications ====== 
  - {{HeatKernelAr.pdf|Sharp estimates for distinguished random walks on affine buildings of type $\tilde A_r$}}, (avec J.-P. Anker et B. Trojan), [[https://arxiv.org/abs/2312.01781|arXiv]]. 
  - {{newer.pdf|Contact process on dynamic regular graphs: monotonicity and subcritical phase}}, (avec D. Valesin), [[https://arxiv.org/abs/2309.17040|ArXiv]]. 
  - {{spitzer-new2.pdf|Branching random walks and Minkowski sum of random walks}}, (avec A. Asselah, I. Okada et P. Sousi), [[https://arxiv.org/abs/2308.12948|ArXiv]].
  - {{brw-potential.pdf|Local times and capacity for transient branching random walks}}, (avec A. Asselah et P. Sousi), [[https://arxiv.org/abs/2303.17572|ArXiv]].
  - {{BCapRW.pdf|Branching capacity of a random walk range}}, [[https://arxiv.org/abs/2303.17830|ArXiv]]. 
  - {{main.pdf|Color-avoiding percolation on the Erdös-Rényi random graph}}, (avec L. Lichev), [[https://arxiv.org/abs/2211.16086|Arxiv]].
  - {{start3.pdf|Time spent in a ball by a critical branching random walk}}, (avec A. Asselah), [[https://arxiv.org/abs/2203.14737|Arxiv]]. 

   
====== Publications ======
  - {{cap-rev3.pdf|Extracting subsets maximizing capacity and folding of random walks}}, //(avec A. Asselah)//, **Ann. Sci. Éc. Norm. Supér.** 56, (2023), 1565--1582. 
  - {{RGG_revision.pdf|On the first and second largest connected component in the percolated random geometric graph}}, (avec L. Lichev, B. Lodewijks, D. Mitsche), **Stochastic Process. Appl.** 164, (2023), 311--336. 
  - {{2walks.6.pdf|Large deviations for Intersections of Random Walks}}, //(avec A. Asselah)//, **Comm. Pure Appl. Math.** 76, (2023), 1531--1553.  
  - {{fourmis.soumis.pdf|Finding geodesics on graphs using reinforcement learning}}, //(avec D. Kious et C. Mailler)//, **Ann. Appl. Probab.** 32, (2022), 3889--3929. 
  - {{fourmis2.2.pdf|The trace reinforced ant process does not find shortest paths}}, //(avec D. Kious et C. Mailler)//, **J. Ec. Polytech. Math.** 9 (2022), 505--536.
  - {{arwALEA.pdf|Diffusive bounds for the critical density of activated random walks}}, //(avec A. Asselah et L. Rolla)//, **ALEA** 19, (2022), 457--465. 
  - {{ORRW7.pdf|Once Reinforced Random Walk on Z\times\Gamma}}, //(avec D. Kious et A. Singh)//, **Annales de l'I.H.P. (B)** 57, (2021), 2219--2242. 
  - {{contactCP.pdf|Exponential rate for the contact process extinction time}}, //(avec D. Valesin)//, **Ann. Fac. Sci. Toulouse Math.** 30, (2021), 503--526. 
  - {{AAP.2021.pdf|Localization on 5 sites for VRRW: towards a characterization}}, **Ann. Appl. Probab.** 31, (2021), 1774--1786. 
  - {{range-rev.PTRF.pdf|The two regimes of moderate deviations for the range of a transient walk.}}, //(avec A. Asselah)//, **P.T.R.F.** 180, (2021), 439--465. 
  - {{cp.hyperbolic-final.pdf|The contact process on random hyperbolic graphs: metastability and critical exponents}}, //(avec A. Linker, D. Mitsche, D. Valesin)//, **Ann. Probab.** 49 (2021), 1480--1514.
  - {{rev-cap.2.pdf|Deviations for the capacity of the range of a random walk}}, //(avec A. Asselah)//, **Electron. J. Probab.** 25, (2020), 28pp. 
  - {{cltd5.aop.main.pdf|Capacity of the range in dimension 5}}, et {{cltd5.aop.suppl.pdf|supplementary material}}, **Ann. Probab.** 48, (2020), 2988--3040. 
  - {{swiss.aop.revised.pdf|On the nature of the Swiss cheese in dimension 3}}, //(avec A. Asselah)//, **Ann. Probab.** 48, (2020), 1002--1013. 
  - {{cltd4.aop.pdf|Capacity of the range of random walk on Z^4}}, //(avec A. Asselah et P. Sousi)//, **Ann. Probab.**, 47 (2019), 1447--1497. 
  - {{wiener-rev3.pdf|Strong law of large numbers for the capacity of the Wiener sausage in dimension four}}, //(avec A. Asselah et P. Sousi)//, **P.T.R.F.**, 173 (2019), 813--858.
  - {{capacity-new.pdf|Capacity of the range of random walk on Z^d}}, //(avec A. Asselah et P. Sousi)//, **Transactions of the A.M.S.**, 370 (2018), 7627--7645.  
  - {{ext_gen_10_sep.pdf|Extinction time for the contact process on general graphs}}, //(avec D. Valesin)//, **P.T.R.F.**, 169 (2017), 871--899.
  - {{boundaryii-journal.corrige_.pdf|Moderate deviations for the range of a transient
random walk: path concentration}}, //(avec A. Asselah)//, **Ann. Sci. Éc. Norm. Supér. (4)**, 50 (2017), 755--786. 
  - {{Boundaryi.rev.pdf|Boundary of the range of transient random walk}}, //(avec A. Asselah)//, **P.T.R.F.**, 168 (2017), 691--719.  
  - {{2d-1d-final.pdf|Martingale defocusing and transience of a self-interacting random walk}}, //(avec Y. Peres et P. Sousi)//, **Annales de l'I.H.P. (B)** 52, (2016), 1009--1022.. 
  - {{CMfinal.cor.pdf|Metastability for the contact process on the configuration model with infinite mean degree}}, //(avec V.H. Can)//, **Electron. J. Probab.** 20, (2015), 1--22. 
  - {{sublinearvrrw.pdf|Localization of vertex-reinforced random walks on Z with sublinear weight}}, //(avec A.-L. Basdevant et A. Singh)//, **P.T.R.F.** 159, (2014), 75--115. 
  - {{aop808.pdf|On the local time of random processes in random scenery}}, //(avec F. Castell, N. Guillotin-Plantard et F. Pène)//,  **Ann. Probab.** 42, (2014), 2417--2453.  
  -  {{aop811.pdf|Localization on 4 sites for vertex-reinforced random walks on Z}}, //(avec A.-L. Basdevant et A. Singh)//, **Ann. Probab.** 42, (2014), 527--558.  
  - {{2013_35_benaim.pdf|Strongly reinforced Vertex Reinforced random walk on the complete graph}}, //(avec M. Benaïm et O. Raimond)//, **ALEA** 10, (2013), 767--782.
  - {{ecp.quenchedtcl.pdf|The quenched limiting distributions of a one-dimensional random walk in random scenery}}, //(avec N. Guillotin-Plantard et Y. Hu)//, **Electron. Comm. Probab.** 18, (2013), 1--7.  
  - {{ecp.exit.pdf|On the one-sided exit problem for stable processes in random scenery}}, //(avec F. Castell, N. Guillotin-Plantard et F. Pène)//, **Electron. Comm. Probab.** 18,  (2013), 1--7.
  - {{erwebmfinal.pdf|Excited Brownian motions as limit of excited random walks}}, //(avec O. Raimond)//, **P.T.R.F.** 154, (2012), 875--909.  
  - {{ecp.0-1.pdf|A 0-1 law for Vertex Reinforced Random Walk on Z with weight of order k^\alpha, \alpha<1/2}}, **Electron. Comm. Probab.** 17, (2012), 1--8.
  - {{ecp.idla.pdf|Internal DLA generated by cookie random walks on Z}}, //(avec O. Raimond)//, **Electron. Comm. Probab.** 16, (2011), 482--490. 
  - {{AOP606.pdf|A local limit theorem for random walks in random scenery and on randomly oriented lattices}}, //(avec F. Castell, N. Guillotin-Plantard et F. Pène)//, **Ann. Probab.** 39, (2011), 2079--2118. 
  - {{grazproceeding.pdf|A local limit theorem for random walks on the chambers of \tilde A_2 buildings}}, //(avec J. Parkinson)//, **Progress in Probability** 1, Vol.64, Random Walks, Boundaries and Spectra, (2011), 15--53. 
  - {{2+2.pdf|A balanced excited random walk}}, //(avec I. Benjamini et G. Kozma)//, **C. R. Acad. Sci. Paris** 349, (2011), 459--462. 
  - {{poissongld.pdf|Poisson boundary of GL_d(Q)}}, //(avec S. Brofferio)//, **Israël J. Math.** 185, (2011), 125--140.
  - {{08-02.pdf|Excited Brownian motions}}, //(avec O. Raimond)//, **ALEA** 8, (2011), 19--41. 
  - {{AIHP365.pdf|Windings of planar random walks and averaged Dehn function}}, //(avec R. Young)//, **Annales de l'I.H.P.** (B) 47, (2011), 130--147.
  - {{ijm296.pdf|Random walks with occasionally modified transition probabilities}}, //(avec O. Raimond)//, **Illinois J. Math.** 54, (2010), 1213--1238.
  - {{ejp.rrw.pdf|On some generalized reinforced random walks}}, //(avec O. Raimond)//, **Electr. J. Probab.** 14, (2009), 1770--1789.
  - {{harmonic.pdf|Bounded harmonic functions for the Heckman--Opdam Laplacian}}, **Int. Math. Res. Notices** (IMRN), (2009), 3149-3159.
  - {{poisson.pdf|The Poisson boundary of triangular matrices in a number field}}, **Ann. Instit. Fourier** 59, (2009), 575--593.
  - {{aihp163.pdf|Random walk on a building of type A~r and Brownian motion of the Weyl chamber}}, **Annales de l'I.H.P.** (B) 45, (2009), 289--301.
  - {{schapira.pdf|Contributions to the hypergeometric function theory of Heckman and Opdam: sharp estimates, Schwartz space, heat kernel}}, **Geom. Funct. Anal.** (GAFA) 18, (2008), 222--250. 
  - {{proc.pdf|The Heckman-Opdam Markov processes}}, **Probab. Theory Related Fields** (PTRF) 138, (2007), 495--519.  
====== Vulgarisation ======

[[http://images.math.cnrs.fr/Des-marches-aleatoires-pas-comme.html|Des marches aléatoires pas comme les autres]], 
   
paru à [[http://images.math.cnrs.fr|Image des mathématiques]].