English

Average intersection number of trigonometric plane curves in $L_2$ and $W_2^r$ statistics

Classical Analysis and ODEs 2023-03-23 v1 Probability

Abstract

The average value of the number of intersection points of two plane curves given by trigonometrical polynomial maps of degree NN and bounded L2L_2- or W2rW_2^r- norms is calculated

Keywords

Cite

@article{arxiv.2303.12645,
  title  = {Average intersection number of trigonometric plane curves in $L_2$ and $W_2^r$ statistics},
  author = {V. A. Vassiliev},
  journal= {arXiv preprint arXiv:2303.12645},
  year   = {2023}
}