Exit times from time-dependent domains are continuous under local Skorokhod J1 path convergence and uniform barrier convergence at non-tangency points, yielding weak convergence of exit times and M1 convergence of exit-time profiles without independence assumptions.
Whitt, Weak convergence of first-passage time proces ses, J
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Exit times from time-dependent random domains: continuity, weak convergence, and exit-time profiles Draft -currently under review at Stochastic Processes and their Applications
Exit times from time-dependent domains are continuous under local Skorokhod J1 path convergence and uniform barrier convergence at non-tangency points, yielding weak convergence of exit times and M1 convergence of exit-time profiles without independence assumptions.