{"paper":{"title":"Large deviations for light-tailed L\\'evy bridges on short time scales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Michael A. H\\\"ogele, Torsten Wetzel","submitted_at":"2025-05-29T19:56:03Z","abstract_excerpt":"Let $L = (L(t))_{t\\geq 0}$ be a multivariate L\\'evy process with L\\'evy measure $\\nu(dy) = \\exp(-f(|y|)) dy$ for a smoothly regularly varying function $f$ of index $\\alpha>1$. The process $L$ is renormalized as $X^\\varepsilon(t) = \\varepsilon L(r_\\varepsilon t)$, $t\\in [0, T]$, for a scaling parameter $r_\\varepsilon= o(\\varepsilon^{-1})$, as $\\varepsilon \\to 0$. We study the behavior of the bridge $Y^{\\varepsilon, x}$ of the renormalized process $X^\\varepsilon$ conditioned on the event $X^\\varepsilon(T) = x$ for a given end point $x\\neq 0$ and end time $T>0$ in the regime of small $\\varepsilon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23972","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.23972/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}