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arXiv · 0910.3079

Singular statistics revised

Timur Tudorovskiy·Ulrich Kuhl·Hans-Juergen Stoeckmann
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Abstract

In the paper we analyze the "singular statistics" of pseudointegrable Seba billiards and show that taking into account growing number of resonances one observes the transition from "semi-Poissonian"-like statistics to Poissonian. This observation is in agreement with an argument that a classical particle does not feel a point perturbation. However, our findings contradict results reported earlier (P. Seba, Phys. Rev. Lett. 64, 1855 (1990)).

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Timur Tudorovskiy, Ulrich Kuhl, Hans-Juergen Stoeckmann. 2009-10-16. Singular statistics revised. https://doi.org/10.1088/1367-2630%2F12%2F12%2F123021

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