{"paper":{"title":"Optimal martingale transport between radially symmetric marginals in general dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","q-fin.MF"],"primary_cat":"math.OC","authors_text":"Tongseok Lim","submitted_at":"2014-12-11T03:36:00Z","abstract_excerpt":"We determine the optimal structure of couplings for the \\emph{Martingale transport problem} between radially symmetric initial and terminal laws $\\mu, \\nu$ on $\\R^d$ and show the uniqueness of optimizer. Here optimality means that such solutions will minimize the functional $\\E |X-Y|^p$ where $0<p \\leq 1$, and the dimension $d$ is arbitrary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3530","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"}