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The resulting probability distribution $P(\\Delta x,\\Delta t)$ that a displacement $\\Delta x$ is observed after a lagtime $\\Delta t$ is known analytically for arbitrary persistence parameters $q$. In this short note we show how a CDTRW with parameters $[\\delta t, \\delta x, q]$ can be ma"},"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":"1207.1240","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2012-07-05T12:27:01Z","cross_cats_sorted":[],"title_canon_sha256":"4791b8fa667b7b1b82a07c41dd13f4dfcf096b587b5aeb53abcb0c6a14c56698","abstract_canon_sha256":"3485389fc636c9daa117d181eddd2f0262cc0dc802ceb2a057efd5c2135e7e50"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:46.525366Z","signature_b64":"mqHM4BivDDeQXB9iaf5H8k8Etg/px4OZq99UL/keHENmPmupvGHl30Dl/rlcLFPezF7dRt4HzJUK9aAFcK5UCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"695371e20ceec01d92c8a2b9e735f7a92a5ab7e619f4e3d25770371015876d00","last_reissued_at":"2026-05-18T03:51:46.524466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:46.524466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling properties of correlated random walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.QM","authors_text":"Claus Metzner","submitted_at":"2012-07-05T12:27:01Z","abstract_excerpt":"Many stochastic time series can be modelled by discrete random walks in which a step of random sign but constant length $\\delta x$ is performed after each time interval $\\delta t$. 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