{"paper":{"title":"Renormalisation of hierarchically interacting Cannings processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andreas Greven, Anton Klimovsky, Frank den Hollander, Sandra Kliem","submitted_at":"2012-09-09T23:51:45Z","abstract_excerpt":"The present paper brings a new class of interacting jump processes into focus. We start from a single-colony $C^\\Lambda$-process, which arises as the continuum-mass limit of a $\\Lambda$-Cannings individual-based population model, where $\\Lambda$ is a finite non-negative measure that describes the offspring mechanism. After that we introduce a system of hierarchically interacting $C^\\Lambda$-processes, where the interaction comes from migration and reshuffling-resampling based on measures $(\\Lambda_k)_{k}$ both acting in $k$-blocks of the hierarchical group. We refer to this system as the $C_N^"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1856","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"}