English

Singular statistics revised

Chaotic Dynamics 2015-05-14 v1 Exactly Solvable and Integrable Systems

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)).

Cite

@article{arxiv.0910.3079,
  title  = {Singular statistics revised},
  author = {Timur Tudorovskiy and Ulrich Kuhl and Hans-Juergen Stoeckmann},
  journal= {arXiv preprint arXiv:0910.3079},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T13:59:10.333Z