Infinite Ergodic Index of the Ehrenfest Wind-Tree Model
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DOI: 10.1007/s00220-017-3058-8
Abstract: The set of all possible configurations of the Ehrenfest wind-tree model endowed with the Hausdorff topology is a compact metric space. For a typical configuration we show that the wind-tree dynamics has infinite ergodic index… read more here.
Keywords: tree model; infinite ergodic; wind tree; ehrenfest wind ... See more keywords
A Non-varying Phenomenon with an Application to the Wind-Tree Model
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DOI: 10.1093/imrn/rny188
Abstract: We exhibit a non-varying phenomenon for the counting problem of cylinders, weighted by their area, passing through two marked (regular) Weierstrass points of a translation surface in a hyperelliptic connected component $\mathcal{H}^{hyp}(2g-2)$ or $\mathcal{H}^{hyp}(g-1,g-1)$, $g>… read more here.
Keywords: tree model; non varying; wind tree; application ... See more keywords