Discrete power functions on a hexagonal lattice I: Derivation of defining equations from the symmetry of the Garnier system in two variables

Nalini Joshi; Kenji Kajiwara; Tetsu Masuda; Nobutaka Nakazono

doi:10.1088/1751-8121/ac11bd

Discrete power functions on a hexagonal lattice I: Derivation of defining equations from the symmetry of the Garnier system in two variables

Nalini Joshi, Kenji Kajiwara, Tetsu Masuda, Nobutaka Nakazono

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The discrete power function on the hexagonal lattice proposed by Bobenko et al is considered, whose defining equations consist of three cross-ratio equations and a similarity constraint. We show that the defining equations are derived from the discrete symmetry of the Garnier system in two variables.

Original language	English
Article number	335202
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	54
Issue number	33
DOIs	https://doi.org/10.1088/1751-8121/ac11bd
Publication status	Published - Aug 2021

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8121/ac11bd

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abstract = "The discrete power function on the hexagonal lattice proposed by Bobenko et al is considered, whose defining equations consist of three cross-ratio equations and a similarity constraint. We show that the defining equations are derived from the discrete symmetry of the Garnier system in two variables.",

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Discrete power functions on a hexagonal lattice I: Derivation of defining equations from the symmetry of the Garnier system in two variables

Abstract

All Science Journal Classification (ASJC) codes

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