Uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region

doi:10.1007/978-3-642-01742-1_24

Part of the book series: Vladimir I. Arnold - Collected Works ((ARNOLD,volume 1))

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Abstract

The phenomena of dense trajectories, ergodicity, and mixing occur often in analysis. The metric theory of dynamical systems (see [1]) gives an approach to these questions, at least in the case of "one-dimensional time." In this paper we consider some problems in which a noncommutative discrete group plays the role of time. We were led to these problems by an attempt to study ergodic properties of solutions of linear differential equations in a complex region (see [2]).

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Editors and Affiliations

Department of Mathematics, University of California, 94720-3840, Berkeley, CA, USA
Alexander B. Givental
Department of Mathematics, University of Toronto, M5S 3G3, Toronto, ON, Canada
Boris A. Khesin
Control & Dynamical Systems and Applied & Computational Mathematics, California Institute of Technology, 91125-8100, Pasadena, CA, USA
Jerrold E. Marsden
Department of Mathematics, University of North Carolina, 27599-3250, Chapel Hill, NC, USA
Alexander N. Varchenko
Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, 119991, Moscow, Russian Federation
Oleg Ya. Viro
Institute of Mathematical Sciences, Stony Brook University, 11794-3660, Stony Brook, NY, USA
Vladimir M. Zakalyukin

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(2009). Uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region. In: Givental, A., et al. Collected Works. Vladimir I. Arnold - Collected Works, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01742-1_24

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DOI: https://doi.org/10.1007/978-3-642-01742-1_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01741-4
Online ISBN: 978-3-642-01742-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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