{"paper":{"title":"Information transmission and criticality in the contact process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Antonio Galves, Eva L\\\"ocherbach, Marzio Cassandro","submitted_at":"2017-05-31T15:37:27Z","abstract_excerpt":"In the present paper, we study the relation between criticality and information transmission in the one-dimensional contact process with infection parameter $\\lambda .$ To do this we define the {\\it sensitivity} of the process to its initial condition. This sensitivity increases for values of $\\lambda < \\lambda_c, $ the value of the critical parameter. The main point of the present paper is that we show that actually it continues increasing even after $ \\lambda_c $ and only starts decreasing for sufficiently large values of $\\lambda .$ This provides a counterexample to the common belief that a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.11150","kind":"arxiv","version":2},"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"}