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An Isaac Newton Institute Workshop

Painleve Equations and Monodromy Problems: An Introduction

Yang-Baxter maps and integrable difference equations

Author: Vassilios Papageorgiou (University of Patras)

Abstract

The connection between integrable partial difference equations and Yang-Baxter maps is explained and some integrable partial difference equations on a 2-dim grid as coupled Yang-Baxter maps are presented. Also higher dimensional analogues of these coupled maps are discussed.