# Continuous Spectrum or Measurable Reducibility for Quasiperiodic Cocycles in $${\mathbb{T} ^{d} \times SU(2)}$$Td×SU(2)

@article{Karaliolios2015ContinuousSO,
title={Continuous Spectrum or Measurable Reducibility for Quasiperiodic Cocycles in \$\$\{\mathbb\{T\} ^\{d\} \times SU(2)\}\$\$Td×SU(2)},
author={Nikolaos Karaliolios},
journal={Communications in Mathematical Physics},
year={2015},
volume={358},
pages={741-766}
}
• Nikolaos Karaliolios
• Published 2015
• Mathematics, Physics
• Communications in Mathematical Physics
• AbstractWe continue our study of the local theory for quasiperiodic cocycles in $${\mathbb{T} ^{d} \times G}$$Td×G , where $${G=SU(2)}$$G=SU(2) , over a rotation satisfying a Diophantine condition and satisfying a closeness-to-constants condition, by proving a dichotomy between measurable reducibility (and therefore pure point spectrum), and purely continuous spectrum in the space orthogonal to $${L^{2}(\mathbb{T} ^{d}) \hookrightarrow L^{2}(\mathbb{T} ^{d} \times G)}$$L2(Td)↪L2(Td×G… CONTINUE READING

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## Ju l 2 01 9 Invariant Distributions and local theory of quasiperiodic cocycles in T d × SU ( 2 )

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 40 REFERENCES

## Rigidity of the Reducibility of Gevrey Quasi-periodic Cocycles on U(n)

• Mathematics
• 2013

## Rigidity results for quasiperiodic SL(2, R) -cocycles

• Mathematics
• 2010
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