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DR NIKOS KARALIOLIOS

Nikos Karaliolios

ERC Postdoc

 
 

Room: 6M33 Huxley Building
I am an ERC post-doc, working on the generalization of Denjoy theory to higher-dimensional tori with S. van Strien. This is my CV

Research

My current research interests include
  • Linearizability of smooth pseudo-rotations in tori
  • Cohomology of Dynamical Systems
  • KAM Theory
  • Dynamics of Quasi-periodic cocycles in compact groups

Publications

  • Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups, Mémoires de la SMF 146 (2016), arXiv
  • Differentiable Rigidity for quasiperiodic cocycles in compact Lie groups, JMD, vol 11 (2017), p. 125-142, arXiv

Accepted

  • Continuous spectrum or measurable reducibility for quasiperiodic cocycles in Td×SU(2). Accepted for publication at CMP. Preprint: arXiv

Preprints

  • Invariant Distributions and local theory of quasiperiodic cocycles in Td×SU(2), arXiv
  • Local Rigidity of Diophantine translations in higher dimensional tori, arXiv
  • Cohomological rigidity and the Anosov-Katok construction, arXiv

In preparation

  • Inflating the rotation set, (working title), joint with A. Kocsard
  • On invariant functions of smooth diffeomorphisms, (working title), joint with A. Kocsard