Maximal distance travelled by N vicious walkers till their survival

Anupam Kundu (1) , Satya N. Majumdar (1) , Gregory Schehr (1)

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

We consider $N$ Brownian particles moving on a line starting from initial positions ${\bf{u}}\equiv \{u_1,u_2,\dots u_N\}$ such that $0

Domaines: Probabilités [math.PR]; Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Anupam Kundu, Satya N. Majumdar, Gregory Schehr. Maximal distance travelled by N vicious walkers till their survival. Journal of Statistical Physics, 2014, 157 (1), pp.124-157. ⟨10.1007/s10955-014-1064-1⟩. ⟨hal-01070755⟩