BIMSA Workshop on the physics of complex systemsMany physical, biological, engineering, and societal processes can be explained as complex systems, characterized by a large number of interacting degrees of freedom. The theoretical and computational tools for dissecting complex systems are founded on the physical principles, cross-pollinated by mathematics, statistics, ecology, evolutionary game...
AbstractI will first give an overview of some aspects of integrable quad-graph systems . This includes the notion of multi-dimensional consistency, classification results of quad-equations, connections to complex analysis. Then, I will show how to implement initial-boundary value problems for quad-graph systems. It relies on the notion of boundary consistency that defines integrable boundary co...