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We prove the convergence of the approximation of $\\delta(E)$ and the uniform convergence of our approximation to $V_E"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1704.03411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-11T16:55:24Z","cross_cats_sorted":[],"title_canon_sha256":"c1f6f12321e87d3dafa1d6223a06ba6b1c4c744145e7a307a9454daa2f66cf40","abstract_canon_sha256":"84781798bae555e4856117db12525a8eb4af4c32bb3476f02a434b375823b3b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:32.558139Z","signature_b64":"bkaaXAlaVYWxg7bTZhopK1UF3A94+KgY+zNweHkfOv9zlSiHjKkS1oY8xi26M/T8nDLunIGcjeTjuJRBw13ACQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cc53f6e87c166f18c9e05691dca28d758d6cd0e49623390725c50dacde7aa19","last_reissued_at":"2026-05-18T00:46:32.557499Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:32.557499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pluripotential Numerics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Federico Piazzon","submitted_at":"2017-04-11T16:55:24Z","abstract_excerpt":"We introduce numerical methods for the approximation of the main (global) quantities in Pluripotential Theory as the \\emph{extremal plurisubharmonic function} $V_E^*$ of a compact $\\mathcal L$-regular set $E\\subset \\C^n$, its \\emph{transfinite diameter} $\\delta(E),$ and the \\emph{pluripotential equilibrium measure} $\\mu_E:=\\ddcn{V_E^*}.$\n  The methods rely on the computation of a \\emph{polynomial mesh} for $E$ and numerical orthonormalization of a suitable basis of polynomials. 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