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- W1488455369 abstract "We consider an entropy-type invariant which measures the polynomial volume growth of submanifolds under the iterates of a map, and we establish sharp uniform lower bounds of this invariant for the following classes of symplectomorphisms of cotangent bundles over a compact base: 1) non-identical compactly supported symplectomorphisms which are symplectically isotopic to the identity, 2) symplectomorphisms generated by classical Hamiltonian functions, 3) Dehn twist like symplectomorphisms over compact rank one symmetric spaces." @default.
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- W1488455369 date "2004-04-01" @default.
- W1488455369 modified "2023-09-27" @default.
- W1488455369 title "Slow entropy and symplectomorphisms of cotangent bundles" @default.
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