On computational complexity of plane curve invariants

The theory of generic smooth closed plane curves initiated by Vladimir Arnold is a beautiful fusion of topology, combinatorics, and analysis. The theory remains fairly undeveloped. We review existing methods to describe generic smooth closed plane curves combinatorially, introduce a new one, and giv...

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Bibliographic Details
Main Authors: Tao, Biaoshuai, Duzhin, Fedor
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/10356/107188
http://hdl.handle.net/10220/25396
http://analytic-combinatorics.org/index.php/ojac/article/view/P2
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Institution: Nanyang Technological University
Language: English