Singular statistics revised

Details Singular statistics revised Singular statistics revised

2009-10-16

arxiv.org/abs/0910.3079v1

Nonlinear Sciences

Chaotic Dynamics

22 pages, 11 figures; submitted to New Journal of Physics

Scientific paper

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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