We introduce a deterministic SO (3) invariant dynamics of classical spins on a discrete
space–time lattice and prove its complete integrability by explicitly finding a related non …

We show that local correlators in a wide class of kicked chains can be calculated exactly at
light-cone edges. Extending previous works on circuit lattice systems, the correlators …

We introduce a class of integrable dynamical systems of interacting classical matrix-valued
fields propagating on a discrete space-time lattice, realized as many-body circuits built from …

In this paper we study the space evolution in the Rule 54 reversible cellular automaton,
which is a paradigmatic example of a deterministic interacting lattice gas. We show that the …

We consider the problem of local correlations in the kicked, dual-unitary coupled maps on D-
dimensional lattices. We demonstrate that for D≥ 2, fully dual-unitary systems exhibit …

By considering the closure property of a Lagrangian multiform as a conservation law, we use
Noether's theorem to show that every variational symmetry of a Lagrangian leads to a …

We establish the algebraic origin of the following observations made previously by the
authors and coworkers:(i) A given integrable PDE in 1+ 1 dimensions within the Zakharov …

We cast the classical Yang–Baxter equation (CYBE) in a variational context for the first time,
by relating it to the theory of Lagrangian multiforms, a framework designed to capture …

In recent years, new properties of space-time duality in the Hamiltonian formalism of certain
integrable classical field theories have been discovered and have led to their reformulation …

It is shown that the Zakharov–Mikhailov (ZM) Lagrangian structure for integrable nonlinear
equations derived from a general class of Lax pairs possesses a Lagrangian multiform …