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• W3100217118 abstract "We investigate global properties of the mappings entering the description of symmetries of integrable spin and vertex models, by exploiting their nature of birational transformations of projective spaces. We give an algorithmic analysis of the structure of invariants of such mappings. We discuss some characteristic conditions for their (quasi)--integrability, and in particular its links with their singularities (in the 2--plane). Finally, we describe some of their properties {it qua/} dynamical systems, making contact with Arnol'd's notion of complexity, and exemplify remarkable behaviours." @default.
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• W3100217118 date "1993-05-01" @default.
• W3100217118 modified "2023-09-30" @default.
• W3100217118 title "Singularity, complexity, and quasi-integrability of rational mappings" @default.
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• W3100217118 doi "https://doi.org/10.1007/bf02096835" @default.
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