Convergence in law of the minimum of a branching random walk

• Elie Aïdékon ^[1]
  1. [1] Eindhoven University of Technology

     Eindhoven University of Technology

     Países Bajos

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 41, Nº. 3, 1, 2013, págs. 1362-1426
• Idioma: inglés
• DOI: 10.1214/12-AOP750
• Texto completo no disponible (Saber más ...)
• Resumen

  • We consider the minimum of a super-critical branching random walk. Addario-Berry and Reed [Ann. Probab. 37 (2009) 1044–1079] proved the tightness of the minimum centered around its mean value. We show that a convergence in law holds, giving the analog of a well-known result of Bramson [Mem. Amer. Math. Soc. 44 (1983) iv+190] in the case of the branching Brownian motion.