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Kosloff","submitted_at":"2015-09-22T20:31:41Z","abstract_excerpt":"We consider families of fast-slow skew product maps of the form \\begin{align*} x_{n+1} = x_n+\\epsilon a(x_n,y_n,\\epsilon), \\quad y_{n+1} = T_\\epsilon y_n, \\end{align*} where $T_\\epsilon$ is a family of nonuniformly expanding maps, and prove averaging and rates of averaging for the slow variables $x$ as $\\epsilon\\to0$. Similar results are obtained also for continuous time systems \\begin{align*} \\dot x = \\epsilon a(x,y,\\epsilon), \\quad \\dot y = g_\\epsilon(y). \\end{align*} Our results include cases where the family of fast dynamical systems consists of intermittent maps, unimodal maps (along the "},"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":"1509.06772","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-09-22T20:31:41Z","cross_cats_sorted":[],"title_canon_sha256":"8b06bf2b327e85c2061571a2fbd18bbbfbf535a33721c93d3b8796ce244dc85d","abstract_canon_sha256":"1316c8df0730ca8cf9ce1f453361ad80a7ed51cac8f656a649870156cce9d90b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:22.642875Z","signature_b64":"rW6zlWlKMk5X6XVEIJTPB58DYK5UXcupXK0983+Zyc3bGmgBiZawPChSO/dG/BffIv8BgOp9fxcDO0zYq+eJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1105c5f976a35b5b79b6d711574fefb5d9ab4c08e69803a350c1019beedf4411","last_reissued_at":"2026-05-18T00:45:22.642428Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:22.642428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Averaging and rates of averaging for uniform families of deterministic fast-slow skew product systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"A. 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