Discrete Integrable Systems
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This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The theory of QRT maps arose from problems in mathematical physics, involving difference equations. The application of QRT maps to these and other proble…
This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The application of QRT maps to problems in the literature, including Poncelet mapping and the elliptic billiard, is examined.
The rich subject matter in this book brings in mathematics from different domains, especially from the theory of elliptic surfaces and dynamics. The material comes from the author's insights and understanding of a birational transformation of the plane derived from a discrete si…