On spectral invariants in modern ergodic theory
- Autores: Oleg N. Ageev
- Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé
, Javier Soria de Diego , Juan Luis Varona Malumbres , Joan Verdera , Vol. 2, 2006, ISBN 978-3-03719-022-7, págs. 1641-1654 - Idioma: inglés
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Resumen
This is a short survey of recent developments in one of the oldest areas of ergodic theory, sometimes called the spectral theory of dynamical systems. We mainly discuss the spectral realization problem in the rich class of all invertible measure preserving dynamical systems, a �behavior� of different spectral invariants in natural subclasses of dynamical systems, and a complete solution of Rokhlin�s problem on homogeneous spectrum in ergodic theory.
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