2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/22990We investigate the dynamics of a generalized survival probability $S(t,R)$ defined with respect to an arbitrary reference level $R$ (rather than the average) in equilibrium step fluctuations. The exponential decay at large time scales of the generalized survival probability is numerically analyzed. $S(t,R)$ is shown to exhibit simple scaling behavior as a function of system-size $L$, sampling time $δt$, and the reference level $R$. The generalized survival time scale, $τ_s(R)$, associated with $S(t,R)$ is shown to decay exponentially as a function of $R$.4 pages, 2 figuresStatistical Mechanicstext