Geodesic
From a Packing Problem to Quantitative Recurrence in $[0,1]$ and the Lagrange Spectrum of Interval Exchanges
Discrete analysis (2017)

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arXiv
This article provides optimal constants for two quantitative recurrence problems. First of all for recurrence of maps of the interval [0,1] that preserve the Lebesgue measure and on the other hand Lagrange spectrum of interval exchange transformations. Both results are based on a non-conventional packing problem in the plane with respect to the "pseudo-norm" N(x,y) = sqrt(|xy|).
Publié le : 
Michael Boshernitzan; Vincent Delecroix. From a Packing Problem to Quantitative Recurrence in $[0,1]$ and the Lagrange Spectrum of Interval Exchanges. Discrete analysis (2017). http://geodesic.mathdoc.fr/item/DAS_2017_a10/
@article{DAS_2017_a10,
     author = {Michael Boshernitzan and Vincent Delecroix},
     title = {From a {Packing} {Problem} to {Quantitative} {Recurrence} in $[0,1]$ and the {Lagrange} {Spectrum} of {Interval} {Exchanges}},
     journal = {Discrete analysis},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2017_a10/}
}
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TI  - From a Packing Problem to Quantitative Recurrence in $[0,1]$ and the Lagrange Spectrum of Interval Exchanges
JO  - Discrete analysis
PY  - 2017
UR  - http://geodesic.mathdoc.fr/item/DAS_2017_a10/
LA  - en
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