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Based on this consideration, equations for the conductivity for the classical and quantum Hall effect are obtained. It is shown that in Lobachevsky space the presence of a small electrical field leads to a shift of the stair structure of the quantum Hall conductivity.<\/jats:p>","DOI":"10.29235\/1561-2430-2023-59-1-71-80","type":"journal-article","created":{"date-parts":[[2023,4,3]],"date-time":"2023-04-03T10:52:47Z","timestamp":1680519167000},"page":"71-80","source":"Crossref","is-referenced-by-count":0,"title":["The Hall effect in Lobachevsky space"],"prefix":"10.29235","volume":"59","author":[{"given":"Yu. A.","family":"Kurochkin","sequence":"first","affiliation":[{"name":"B. I. Stepanov Institute of Phy- sics of the National Academy of Sciences of Belarus"}]},{"given":"I. 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