Hexagonal circle patterns and integrable systems: Patterns with constant angles
Bobenko, Alexander I. ; Hoffmann, Tim
Duke Math. J., Tome 120 (2003) no. 3, p. 525-566 / Harvested from Project Euclid
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Hexagonal circle patterns with constant intersection angles are introduced and studied. It is shown that they are described by discrete integrable systems of Toda type. Conformally symmetric patterns are classified. Circle pattern analogs of holomorphic mappings $z\sp c$ and $\log z$ are constructed as special isomonodromic solutions. Circle patterns studied in the paper include Schramm's circle patterns with the combinatorics of the square grid as a special case.
Publié le : 2003-03-15
Classification:  52C26,  34M55,  37K10,  37K20,  37K60,  39A12 
@article{1085598301,
     author = {Bobenko, Alexander I. and Hoffmann, Tim},
     title = {Hexagonal circle patterns and integrable systems: Patterns with constant angles},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 525-566},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598301}
}

Bobenko, Alexander I.; Hoffmann, Tim. Hexagonal circle patterns and integrable systems: Patterns with constant angles. Duke Math. J., Tome 120 (2003) no. 3, pp.  525-566. http://gdmltest.u-ga.fr/item/1085598301/