This book on integrable systems and symmetries presents new results on applications of
symmetries and integrability techniques to the case of equations defined on the lattice. This …

In this work I discuss briefly the calculation of the algebraic entropy for systems of quad
equations. In particular, I observe that since systems of multilinear equations can have …

Given an equation arising from some application or theoretical consideration one of the first
questions one might ask is: What is its behavior? It is integrable? In these lectures we will …

We extend the definition of algebraic entropy to a class of differential-delay equations. The
vanishing of the entropy, as a structural property of an equation, signals its integrability. We …

In this paper, we study the integrability of a class of nonlinear non-autonomous quad graph
equations compatible around the cube introduced by Boll in the framework of the …

We compute the algebraic entropy of a class of integrable Volterra-like five-point differential-
difference equations recently classified using the generalised symmetry method. We show …

In this Thesis we present some results obtained recently about the integrability properties of
the multi-affine partial difference equations Consistent Around the Cube classified by R. Boll …

In this paper we introduce a non autonomous generalization of the $\QV $ equation
introduced by Viallet. All the equations of Boll's classification appear in it for special choices …

In this article we investigate the coprimeness properties of one and two-dimensional discrete
equations, in a situation where the equations are decomposable into several factors of …

We describe some standard features of integrability for a class of integrable partial
difference equations: the quad equations. These features are the existence of Lax pairs …