{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.topic/1","content_sha256":"4aab75ded3058eb8a79931609c037f481b72a0edf210c8e96757a08c81cb6fea","created":"2026-10-03T07:17:53Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":[],"salt":"1d24af2a33fbeee65a5a8cbe6dbcbbad8c1c9a4e77e346914c8280944875bb8b","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"topic"},"content":{"external_id":"stat.kpz-higher-d","field":"stat","n":"1","review_cite":"K. A. Takeuchi, An appetizer to modern developments on the Kardar-Parisi-Zhang universality class, Physica A, 2018","review_link":"https://arxiv.org/abs/1708.06060","review_verified":"true","summary":"When a surface grows by random deposition with a speed that depends on its slope, as for a burning paper edge or a growing crystal film, its roughness follows universal laws called the KPZ class. In one dimension these laws are solved exactly; for two-dimensional surfaces and beyond they are mostly unknown.","title":"KPZ growth in two and more dimensions","topic_ref":null,"why":"KPZ is the main example of universality far from equilibrium, linking surface growth, directed polymers in random media and fronts in turbulent systems."},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"26996c76133d5f7829488e993c1a11588f8ba15e793c45cb8f57b08744ba791a","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"e0cca4f6bf98da86cb6d21b37d6cdcd050ca49d5e419004fc8fc6302e59635cd","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"mZBvT1zJ2XM_aaumMnAw9SP6rtMDEA5LU3tr0D-IKQ9JrHzWp0rGRNRKAfXxOD0OYbFXsiRZ4V8ewdu1Y4vKBA"},"schema":"pubphys.envelope/1"},"record_hash":"26996c76133d5f7829488e993c1a11588f8ba15e793c45cb8f57b08744ba791a","leaf_index":354}