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We study the random compositions \\[ (\\theta_n,r_n)=f_{\\omega_{n-1}}\\circ \\"},"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":"1705.09571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-24T21:13:27Z","cross_cats_sorted":[],"title_canon_sha256":"90676b3573a8a29a95630aeb1080439591d7dcc582d52d5741942797da6c01a4","abstract_canon_sha256":"921211b1279a590a215405ebe64c9812405dde37b07d3c4dfe991b3c14787c04"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:38.343352Z","signature_b64":"jaCo6D5UNxwm7xfMyVwwQunjgTqoIvOwGJ4CVOen7M4woeyi2/jcwV1NKC0LA2TKsiHg+jZJH5qmFdZs9Vd/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38cd3511716d1c9dda599f8219eb14a2bdef3d5b6983ebb6ef26a5f7a1384132","last_reissued_at":"2026-05-18T00:43:38.342892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:38.342892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Random Iteration of Cylinder Maps and diffusive behavior away from resonances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Marcel Guardia, Oriol Castej\\'on, Vadim Kaloshin","submitted_at":"2017-05-24T21:13:27Z","abstract_excerpt":"In this paper we propose a model of random compositions of cylinder maps, which in the simplified form is as follows: let $(\\theta,r)\\in \\mathbb T\\times \\mathbb R=\\mathbb A$ and \\[ f_{\\pm 1}: \\left(\\begin{array}{c}\\theta\\\\r\\end{array}\\right) \\longmapsto \\left(\\begin{array}{c}\\theta+r+\\varepsilon u_{\\pm 1}(\\theta,r) \\\\ r+\\varepsilon v_{\\pm 1}(\\theta,r) \\end{array}\\right), \\] where $u_\\pm$ and $v_\\pm$ are smooth and $v_\\pm$ are trigonometric polynomials in $\\theta$ such that $\\int v_\\pm(\\theta,r)\\,d\\theta=0$ for each $r$. 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