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Universal twinkling exponents for spectral fluctuations associated with mixed chaology

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<mark>Journal publication date</mark>2000
<mark>Journal</mark>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume456
Pages (from-to)1659
Publication StatusPublished
<mark>Original language</mark>English

Abstract

For systems that are neither fully integrable nor fully chaotic, bifurcations of periodic orbits give rise to semiclassically emergent singularities in the fluctuating part Nfl of the energy-level counting function. The bifurcations dominate the spectral moments Mm(h) = ((Nfl)2m) in the limit h M 0. We argue that Mm(h) ~ const./hvm, and calculate the twinkling exponents vm as the result of a competition between bifurcations with different codimensions and repetition numbers.