{"slug":"paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-dynamical-systems-and-au","verification":{"valid":true,"entries":1,"head":"859a8f428eed1d4dac8340c9d96f44ef26bda29d8d16621f92a048035b8185bc"},"count":1,"sources":[{"id":"s1","type":"other","url":"http://www.scholarpedia.org/article/Kolmogorov-Sinai_entropy","title":"Kolmogorov-Sinai entropy","quote":"The notion of Metric Entropy of dynamical system... appeared in the paper by Kolmogorov ([K1]). ... The first announcement of the entropy was done by Kolmogorov in one of his lectures. It contained the metric invariant for Bernoulli shifts and gave the proof that 2-shifts and 3-shifts are metrically non-isomorphic.","summary":"Scholarpedia article by Sinai summarizing the 1958 Kolmogorov paper and subsequent developments.","claim_ids":["c1","c2","c3","c4","c5"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T09:44:44.136Z","link_status":"ok","quote_status":"unverified","prev":"genesis","hash":"859a8f428eed1d4dac8340c9d96f44ef26bda29d8d16621f92a048035b8185bc"}]}