Treffer: Multidimensional diophantine approximations and dynamical systems

Title:
Multidimensional diophantine approximations and dynamical systems
Authors:
Moshchevitin, N. G.
Publisher Information:
Udmurt State University (Udmurtskiĭ Gosudarstvennyĭ Universitet), Izhevsk
Subject Terms:
quasiperiodic functions, Simultaneous homogeneous approximation, linear forms, Relations of ergodic theory with number theory and harmonic analysis, diophantine approximation
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Access URL:
https://zbmath.org/1439088
Accession Number:
edsair.c2b0b933574d..7753a4cbba87e349035dcfbc4854441f
Database:
OpenAIRE

Weitere Informationen

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.