Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A coding-free simplicity criterion for the Lyapunov exponents of
  Teichmueller curves   In this note we show that the results of H. Furstenberg on the Poisson
boundary of lattices of semisimple Lie groups allow to deduce simplicity
properties of the Lyapunov spectrum of the Kontsevich-Zorich cocycle of
Teichmueller curves in moduli spaces of Abelian differentials without the usage
of codings of the Teichmueller flow. As an application, we show the simplicity
of some Lyapunov exponents in the setting of (some) Prym Teichmueller curves of
genus 4 where a coding-based approach seems hard to implement because of the
poor knowledge of the Veech group of these Teichmueller curves. Finally, we
extend the discussion in this note to show the simplicity of Lyapunov exponents
coming from (high weight) variations of Hodge structures associated to mirror
quintic Calabi-Yau threefolds.

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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga