Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and lax equations on the regular triangular lattice

International Mathematics Research Notices

Volumn , Issue 3, 2002, Pages 111-164

  Bobenko, Alexander I ^a   Hoffmann, Tim ^a   Suris, Yuri B ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036360589     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792802105113     Document Type: Article

References (21)

1. Legendre transformations on a triangular lattice
2. γ and Painlevé equations
3. Spiral hexagonal circle packings in the plane
4. The uniformization theorem for circle packings
5. Conformally symmetric circle packings: A generalization of Doyle's spirals
6. Discretization of surfaces and integrable systems
7. Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies
8. Rigidity of infinite disk patterns
9. ∞-convergence of hexagonal disk packings to the Riemann map
10. "Isomonodromic" solutions of equations of zero curvature
11. Trivalent graphs and solitons
12. On Thurston's formulation and proof of Andreev's theorem
13. Discrete Painlevé equations and symmetry reduction on the lattice
14. Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
15. Discrete Lagrangian systems on graphs. Symplectic-topological properties
16. Two-dimensional algebro-geometric difference operators
17. The convergence of circle packings to the Riemann mapping
18. Circle patterns with the combinatorics of the square grid
19. The finite Riemann mapping theorem
20. Hirota difference equations