Multidimensional diophantine approximations and dynamical systems. (Russian) Zbl 0938.11033

Moshchevitin, N. G.

Regul. Khaoticheskaya Din. 2, No. 1, 81-95 (1997).

This is a survey on applications of multidimensional diophantine approximations to problems of dynamical systems. In particular, the author considers the asymptotics of integrals of quasiperiodic functions of one variable and the estimates for the return of a trajectory on a torus or, more generally, on a compact Lie group.

Reviewer: I.A.Taimanov (Novosibirsk)

MSC:

11J13	Simultaneous homogeneous approximation, linear forms
37A45	Relations of ergodic theory with number theory and harmonic analysis (MSC2010)

Keywords:

diophantine approximation; quasiperiodic functions