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• W4229486528 abstract "The concept of resonance has been instrumental to the study of Hamiltonian systems with divided phase space. One can also define such systems over discrete spaces, which have a finite or countable number of points, but in this new setting the notion of resonance must be re-considered from scratch. I review some recent developments in the area of arithmetic dynamics which outline some salient features of linear and nonlinear stable (elliptic) orbits over a discrete space, and also underline the difficulties that emerge in their analysis." @default.
• W4229486528 created "2022-05-11" @default.
• W4229486528 creator A5083498677 @default.
• W4229486528 date "2015-12-30" @default.
• W4229486528 modified "2023-09-27" @default.
• W4229486528 title "Discrete resonances" @default.
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• W4229486528 doi "https://doi.org/10.1142/s0217984915300161" @default.
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