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We give conditions under which the pressure of $f$ for a perturbed potential $\\phi+s\\psi$ relates to the pressure of the induced system as $P(\\phi+s\\psi) = (C P(\\overline{\\phi+s\\psi}))^{1/\\beta} (1+o(1))$, together with estimates for"},"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":"1711.05069","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-11-14T12:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"99869b1bb06957b9f46af41aeb5b3f62d3a97be3a1dcd5a43e60031b9f03d90b","abstract_canon_sha256":"2f805f60625c9c021d93ce8d00c1adefaf94808882d9e2ffaa1e53e408c44099"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:49.910292Z","signature_b64":"NrSWDmY2m7E1C2UcNC7jeUukh9lELSx/uu1gja2DNfg4oXf2ns43i1g5JgVd3obOVkeKdLLoGGKvVmn8NcsZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5ead7e71f57179e15307922427ec6ea5fcb1e50e6ca63b7dc50f52da809e627","last_reissued_at":"2026-05-18T00:03:49.909692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:49.909692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The pressure function for infinite equilibrium measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Dalia Terhesiu, Henk Bruin, Mike Todd","submitted_at":"2017-11-14T12:02:25Z","abstract_excerpt":"Assume that $(X,f)$ is a dynamical system and $\\phi:X \\to [-\\infty, \\infty)$ is a potential such that the $f$-invariant measure $\\mu_\\phi$ equivalent to $\\phi$-conformal measure is infinite, but that there is an inducing scheme $F = f^\\tau$ with a finite measure $\\mu_{\\bar\\phi}$ and polynomial tails $\\mu_{\\bar\\phi}(\\tau \\geq n) = O(n^{-\\beta})$, $\\beta \\in (0,1)$. We give conditions under which the pressure of $f$ for a perturbed potential $\\phi+s\\psi$ relates to the pressure of the induced system as $P(\\phi+s\\psi) = (C P(\\overline{\\phi+s\\psi}))^{1/\\beta} (1+o(1))$, together with estimates for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05069","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1711.05069","created_at":"2026-05-18T00:03:49.909783+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.05069v3","created_at":"2026-05-18T00:03:49.909783+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05069","created_at":"2026-05-18T00:03:49.909783+00:00"},{"alias_kind":"pith_short_12","alias_value":"YXVNPZY7K4LZ","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"YXVNPZY7K4LZ4FJQ","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"YXVNPZY7","created_at":"2026-05-18T12:31:59.375834+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J","json":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J.json","graph_json":"https://pith.science/api/pith-number/YXVNPZY7K4LZ4FJQPEREE7WG5J/graph.json","events_json":"https://pith.science/api/pith-number/YXVNPZY7K4LZ4FJQPEREE7WG5J/events.json","paper":"https://pith.science/paper/YXVNPZY7"},"agent_actions":{"view_html":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J","download_json":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J.json","view_paper":"https://pith.science/paper/YXVNPZY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.05069&json=true","fetch_graph":"https://pith.science/api/pith-number/YXVNPZY7K4LZ4FJQPEREE7WG5J/graph.json","fetch_events":"https://pith.science/api/pith-number/YXVNPZY7K4LZ4FJQPEREE7WG5J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J/action/storage_attestation","attest_author":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J/action/author_attestation","sign_citation":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J/action/citation_signature","submit_replication":"https://pith.science/pith/YXVNPZY7K4LZ4FJQPEREE7WG5J/action/replication_record"}},"created_at":"2026-05-18T00:03:49.909783+00:00","updated_at":"2026-05-18T00:03:49.909783+00:00"}