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If $f$ is a Wiener functional s.t. $\\frac{1}{E[e^{-f}]}e^{-f}d\\mu$ is of finite relative entropy w.r.t. $\\mu$, we prove that \\beaa J_\\star&=& \\inf\\left(E_\\mu\\left[f\\circ U+\\half |u|_H^2\\right]: u\\in\n  L_a^2(\\mu,H)\\right)\\\\ &\\geq&-\\log E_\\mu[e^{-f}]=\\"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1402.6576","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-02-26T15:38:35Z","cross_cats_sorted":[],"title_canon_sha256":"e49efe7c06583a7ce16d8f332b1c9a9d2c6aeb20a935559ceb4dc8975ea65c84","abstract_canon_sha256":"5924a5340e16e7c00d58bbf6517bc749a0b525fc30f1cbf94d82ed50ec76fdf0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:44.078478Z","signature_b64":"ZsQYu8svwChBGC/TA0mKuwhlc8Dylm9+WktkoxNP6Sjtad3nbjwmHOt5kP5JyE21+tEJ2UFeY7QJqOiddUH4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b2f1cd542f82c642ad23b951427ebeeeeca5700d172e5dd27479f1947c60eb9","last_reissued_at":"2026-05-18T02:57:44.077889Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:44.077889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variational Calculation of Laplace transforms via Entropy on Wiener Space and some Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ali Suleyman Ustunel","submitted_at":"2014-02-26T15:38:35Z","abstract_excerpt":"Let $(W,H,\\mu)$ be the classical Wiener space where $H$ is the Cameron-Martin space which consists of the primitives of the elements of $L^2([0,1],\\,dt)\\otimes \\R^d$, we denote by $L^2_a(\\mu,H)$ the equivalence classes w.r.t. $dt\\times d\\mu$ whose Lebesgue densities $s\\to\\dot{u}(s,w)$ are almost surely adapted to the canonical Brownian filtration. 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