Lectures given at the C.I.M.E. Summer School

Many problems of stability in the theory of dynamical systems face the difficulty of small divisors. The most famous example is probably given by Kolmogorov-Arnold-Moser theory in the context of Hamiltonian systems, with many applications to physics and astronomy. Other natural small divisor problem...

Descripción completa

Detalles Bibliográficos
Autores principales: Eliasson, Hakan, Kuksin, Sergei, Marmi, Stefano, Yoccoz, Jean-Christophe
Lenguaje:eng
Publicado: Springer 2002
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/b83847
http://cds.cern.ch/record/1696261
_version_ 1780936088512102400
author Eliasson, Hakan
Kuksin, Sergei
Marmi, Stefano
Yoccoz, Jean-Christophe
author_facet Eliasson, Hakan
Kuksin, Sergei
Marmi, Stefano
Yoccoz, Jean-Christophe
author_sort Eliasson, Hakan
collection CERN
description Many problems of stability in the theory of dynamical systems face the difficulty of small divisors. The most famous example is probably given by Kolmogorov-Arnold-Moser theory in the context of Hamiltonian systems, with many applications to physics and astronomy. Other natural small divisor problems arise considering circle diffeomorphisms or quasiperiodic Schroedinger operators. In this volume Hakan Eliasson, Sergei Kuksin and Jean-Christophe Yoccoz illustrate the most recent developments of this theory both in finite and infinite dimension. A list of open problems (including some problems contributed by John Mather and Michel Herman) has been included.
id cern-1696261
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
publisher Springer
record_format invenio
spelling cern-16962612021-04-22T07:04:17Zdoi:10.1007/b83847http://cds.cern.ch/record/1696261engEliasson, HakanKuksin, SergeiMarmi, StefanoYoccoz, Jean-ChristopheLectures given at the C.I.M.E. Summer SchoolMathematical Physics and MathematicsMany problems of stability in the theory of dynamical systems face the difficulty of small divisors. The most famous example is probably given by Kolmogorov-Arnold-Moser theory in the context of Hamiltonian systems, with many applications to physics and astronomy. Other natural small divisor problems arise considering circle diffeomorphisms or quasiperiodic Schroedinger operators. In this volume Hakan Eliasson, Sergei Kuksin and Jean-Christophe Yoccoz illustrate the most recent developments of this theory both in finite and infinite dimension. A list of open problems (including some problems contributed by John Mather and Michel Herman) has been included.Springeroai:cds.cern.ch:16962612002
spellingShingle Mathematical Physics and Mathematics
Eliasson, Hakan
Kuksin, Sergei
Marmi, Stefano
Yoccoz, Jean-Christophe
Lectures given at the C.I.M.E. Summer School
title Lectures given at the C.I.M.E. Summer School
title_full Lectures given at the C.I.M.E. Summer School
title_fullStr Lectures given at the C.I.M.E. Summer School
title_full_unstemmed Lectures given at the C.I.M.E. Summer School
title_short Lectures given at the C.I.M.E. Summer School
title_sort lectures given at the c.i.m.e. summer school
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/b83847
http://cds.cern.ch/record/1696261
work_keys_str_mv AT eliassonhakan lecturesgivenatthecimesummerschool
AT kuksinsergei lecturesgivenatthecimesummerschool
AT marmistefano lecturesgivenatthecimesummerschool
AT yoccozjeanchristophe lecturesgivenatthecimesummerschool

Ejemplares similares