Gibbs Random Fields with Unbounded Spins on Unbounded Degree Graphs
Gibbs Random Fields with Unbounded Spins on Unbounded Degree Graphs
Gibbs fields are constructed and studied which correspond to systems of real-valued spins (e.g. systems of interacting anharmonic oscillators) indexed by the vertices of unbounded degree graphs of a certain type, for which the Gaussian Gibbs fields need not be existing. In these graphs, the vertex degree growth is controlled …