9 citations · 9 across the 1 of their papers we have counts for
2 papers
math.PR2008★ 9 cited
Random walk weakly attracted to a wall
Joël De Coninck, François Dunlop, Thierry Huillet
We consider a random walk X_n in Z_+, starting at X_0=x>= 0, with transition probabilities P(X_{n+1}=X_n+1|X_n=y>=1)=1/2-δ/(4y+2δ) P(X_{n+1}=X_n+1|X_n=y>=1)=1/2+δ/(4y+2δ) and X_{n+…
math.PR2002
Hard rods: statistics of parking configurations
Francois Dunlop, Thierry Huillet
We compute the correlation function in the equilibrium version of Rényi's {\sl parking problem}. The correlation length is found to diverge as when $ρ\near…