Gibbs and quantum discrete spaces

  title={Gibbs and quantum discrete spaces},
  author={V. Malyshev},
  journal={Russian Mathematical Surveys},
  • V. Malyshev
  • Published 2001
  • Mathematics, Physics
  • Russian Mathematical Surveys
The Gibbs field is one of the central objects of modern probability theory, mathematical statistical physics, and Euclidean field theory. In this paper we introduce and study a natural generalization of this field to the case in which the background space (a lattice, a graph) on which the random field is defined is itself a random object. Moreover, this randomness is given neither a priori nor independent of the configuration; on the contrary, the space and the configuration on it depend on… Expand
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