Particle systems with variable length (Q1416114)

The models studied in the theory of interacting particle systems are usually based on the assumptions that the space, usually \(\mathbb Z^d\) or \(\mathbb R^d\), does not change in the interaction of the evolution law. This assumption is not the only possible one. In this short paper (without proofs) another approach is presented in which the number of sides can change. Some examples are presented and also the possibility to define a system for which the author claims it is possibly a spontaneous symmetry breaking.