A Hypergraph Turán Problem with No Stability
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DOI: 10.1007/s00493-021-4561-2
Abstract: A fundamental barrier in extremal hypergraph theory is the presence of many near-extremal constructions with very different structures. Indeed, the classical constructions due to Kostochka imply that the notorious extremal problem for the tetrahedron exhibits… read more here.
Keywords: problem stability; tur; problem; hypergraph tur ... See more keywords
Classical Kapitsa’s problem of stability of an inverted pendulum and some generalizations
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DOI: 10.1007/s00707-020-02907-0
Abstract: The classical Kapitsa’s problem of stability of an inverted pendulum subjected to vertical vibration of the support and some generalizations are investigated. The asymptotic method of two-scale expansions allows one to determine the level of… read more here.
Keywords: kapitsa problem; rod; classical kapitsa; stability ... See more keywords