Geodesic
Topological Classification of Trigonometric Polynomials Related to the Affine Coxeter Group~$\widetilde A_2$
Informatics and Automation, Analysis and singularities. Part 1, Tome 258 (2007), pp. 7-16.

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Trigonometric polynomials on the 2-torus that belong to a special six-parameter family are classified up to diffeomorphisms of the image and the preimage that are homotopic to the identity. 
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V. I. Arnol'd. Topological Classification of Trigonometric Polynomials Related to the Affine Coxeter Group~$\widetilde A_2$. Informatics and Automation, Analysis and singularities. Part 1, Tome 258 (2007), pp. 7-16. http://geodesic.mathdoc.fr/item/TRSPY_2007_258_a1/

[1] Arnold V.I., “Smooth functions statistics”, Funct. Anal. and Other Mathematics, 1:2 (2006), 125–133 | MR

[2] Arnold V.I., “Statistika i klassifikatsiya topologii periodicheskikh funktsii i trigonometricheskikh mnogochlenov”, Tr. In-ta matematiki i mekhaniki UrO RAN, 12, no. 1, 2006, 15–24 | MR | Zbl

[3] Arnold V.I., Eksperimentalnoe otkrytie matematicheskikh faktov, Tsikl lektsii, prochitannykh v letnei shkole “Sovremennaya matematika” (Dubna, iyul 2005 g.), MTsNMO, M., 2006

[4] Arnold V.I., Smooth functions statistics, http://www.institut.math.jussieu.fr/seminaires/singularites/functions.pdf

[5] Arnold V.I., Smooth functions statistics, Preprint IC/2006/012, Abdus Salam Intern. Centre Theor. Phys., Trieste, 2006, 9 pp.; http://www.ictp.it/~pub\textunderscore off/ preprints-sources/2006/IC2006012P.pdf