Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic-scale Quasimodes that do not Equidistribute   Given any compact hyperbolic surface $M$, and a closed geodesic on $M$, we
construct of a sequence of quasimodes on $M$ whose microlocal lifts concentrate
positive mass on the geodesic. Thus, the Quantum Unique Ergodicity (QUE)
property does not hold for these quasimodes. This is analogous to a
construction of Faure-Nonnenmacher-De Bi\`evre in the context of quantized cat
maps, and lends credence to the suggestion that large multiplicities play a
role in the known failure of QUE for certain "toy models" of quantum chaos. We
moreover conjecture a precise threshold for the order of quasimodes needed for
QUE to hold--- the result of the present paper shows that this conjecture, if
true, is sharp.

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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn