{"paper":{"title":"Convective Lyapunov Spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"nlin.CD","authors_text":"Alessandro Torcini, Antonio Politi, Aurelien Kenfack Jiotsa","submitted_at":"2012-01-20T17:21:31Z","abstract_excerpt":"We generalize the concept of convective (or velocity-dependent) Lyapunov exponent $\\Lambda(v)$ to an entire spectrum $\\Lambda(v,n)$. Our results are supported by the consistency between the outcome of the chronotopic approach [{\\it S. Lepri et al. J. Stat. Phys., 82 5/6 (1996) 1429}] and a more direct method. There exists a critical integrated density $n=n_c$, beyond which the convective exponent exhibits a discontinuous dependence on the velocity, which originates from the appearance of multiple branches. This phenomenon can be traced back to a change of concavity of the so-called {\\it tempor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4346","kind":"arxiv","version":1},"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"}