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Large deviations related to Dynkin--Lamperti arcsine laws...
[Submitted on 10 Nov 2025 (v1), last revised 2 Sep 2026 (this ve · 2025-11-10 · via math.PR updates on arXiv.org

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Abstract:We establish large deviation estimates related to the Dynkin--Lamperti arcsine laws for subordinators whose Laplace exponents are either regularly varying or comparable to regularly varying functions. By applying these results to inverse local times, we derive large deviation estimates for the last visit times to the starting point of various Hunt processes satisfying suitable on-diagonal resolvent density estimates, such as one-dimensional generalized diffusion processes, one-dimensional Lévy processes, and Brownian motion and its subordinate process on the Sierpiński gasket.

Submission history

From: Toru Sera [view email]
[v1] Mon, 10 Nov 2025 07:56:11 UTC (9 KB)
[v2] Wed, 2 Sep 2026 14:06:29 UTC (37 KB)

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