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.
Limit theorems for stochastic proces ses
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The paper delivers a chronological history of Fréchet distances connecting early abstract set theory to curve metrics, optimal transport, and the FID metric in generative models.
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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.
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A Brief History of Fr\'echet Distances: From Curves and Probability Laws to FID
The paper delivers a chronological history of Fréchet distances connecting early abstract set theory to curve metrics, optimal transport, and the FID metric in generative models.