{"paper":{"title":"The Onsager-Machlup functional associated with additive fractional noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yoha\\\"i Maayan","submitted_at":"2017-05-24T21:53:45Z","abstract_excerpt":"We consider the solution of a stochastic differential equation with additive multidimensional fractional noise. In the case $\\frac14<H<\\frac12$, we compute the Onsager-Machlup functional (with respect to the driving fractional Brownian motion) for the supremum norm and the H\\\"older norms with exponent $\\alpha \\in \\left(0,H-\\frac14\\right)$ for any element of the Cameron-Martin space $\\mathcal H_H$, extending a previous result of Moret and Nualart. In the more general case $H<\\frac12$ and $\\alpha \\in \\left(0,H\\right)$, we formulate a condition on $h\\in\\mathcal H_H$ under which the computation of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08976","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":""},"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"}