Average intersection numbers of low-harmonic plane curves in L2 and W2r statistics

The average number of intersection points of plane curves given by trigonometric polynomial maps of arbitrary natural degree [Formula: see text] with respect to [Formula: see text]- and [Formula: see text]-measures is computed.

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-05-02
DOI
https://doi.org/10.1142/s0218216525500427
Primary Topic
Automated Road and Building Extraction
Type
article
Field-Weighted Citation Impact
0.00
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article

Average intersection numbers of low-harmonic plane curves in L2 and W2r statistics

V. A. Vassiliev
Journal of Knot Theory and Its Ramifications
Automated Road and Building Extraction
article

Average intersection numbers of low-harmonic plane curves in L2 and W2r statistics

V. A. Vassiliev
article en

Abstract

The average number of intersection points of plane curves given by trigonometric polynomial maps of arbitrary natural degree [Formula: see text] with respect to [Formula: see text]- and [Formula: see text]-measures is computed.

Journal of Knot Theory and Its RamificationsVol. 34(08)
Weizmann Institute of Science (IL)
Openalex Percentile: Top 88%
Automated Road and Building Extraction
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Average intersection numbers of low-harmonic plane curves in L2 and W2r statistics — V. A. Vassiliev · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS