Discrete equations on planar graphs

Journal of Physics A: Mathematical and General

Volumn 34, Issue 48, 2001, Pages 10453-10460

  Adler, V E ^a  

^a INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035824452     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/48/310     Document Type: Article

References (16)

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3. Suris Yu B 1990 Generalized Toda chains in discrete time Algebr. Anal. 2 141-57 (Engl. transl. Leningr. Math. J. 2 339-52)
4. Suris Yu B 1990 Discrete time generalized Toda lattices: complete integrability and relation with relativistic Toda lattices Phys. Lett. A 145 113-9
5. Suris Yu B 1995 Bi-Hamiltonian structure of the qd algorithm and new discretizations of the Toda lattice Phys. Lett. A 206 153-61
6. Suris Yu B 1996 A discrete-time relativistic Toda lattice J. Phys. A: Math. Gen. 29 451-65
7. Suris Yu B 1997 New integrable systems related to the relativistic Toda lattice J. Phys. A: Math. Gen. 30 1745-61
8. Suris Yu B 1997 On some integrable systems related to the Toda lattice J. Phys. A: Math. Gen. 30 2235-49
9. Adler V E 2000 Legendre transformations on the triangular lattice Funct. Anal. Appl. 34 1-11 (Adler V E 1998 Preprint solv-int/9808016)
10. Adler V E 2000 Legendre transformations on the triangular lattice Funct. Anal. Appl. 34 1-11 (Adler V E 1998 Preprint solv-int/9808016)
11. Adler V E 2000 On the structure of the Bäcklund transformations for the relativistic lattices J. Nonlinear Math. Phys. 7 34-56
12. Novikov S P 2000 Schrödinger operators on graphs and symplectic geometry Preprint math-ph/0004013
13. Requardt M 2000 Graph-Laplacians and Dirac operators on (infinite) graphs and the calculation of the Connes-distance-functional Preprint math-ph/0001026
14. Papageorgiou V G, Nijhoff F W and Capel H W 1990 Integrable mappings and nonlinear integrable lattice equations Phys. Lett. A 147 106-14
15. Bobenko A I, Hoffmann T and Suris Yu B 2001 Hexagonal circle patterns and integrable systems: patterns with the multi-ratio property and Lax equations on the regular triangular lattice Preprint math.CV/0104244 at: http://www.arXiv.org
16. Mercat Ch 2001 Discrete Riemann surfaces and the Ising model Commun. Math. Phys. 218 177-216