{"paper":{"title":"Time-changed processes governed by space-time fractional telegraph equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Bruno Toaldo, Enzo Orsingher, Mirko D'Ovidio","submitted_at":"2012-06-12T12:42:24Z","abstract_excerpt":"In this work we construct compositions of processes of the form \\bm{S}_n^{2\\beta}(c^2 \\mathpzc{L}^\\nu (t) \\r, t>0, \\nu \\in (0, 1/2], \\beta \\in (0,1], n \\in \\mathbb{N}, whose distribution is related to space-time fractional n-dimensional telegraph equations. We present within a unifying framework the pde connections of n-dimensional isotropic stable processes \\bm{S}_n^{2\\beta} whose random time is represented by the inverse \\mathpzc{L}^\\nu (t), t>0, of the superposition of independent positively-skewed stable processes, \\mathpzc{H}^\\nu (t) = H_1^{2\\nu} (t) + (2\\lambda \\r^{\\frac{1}{\\nu}} H_2^\\nu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2511","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"}