An Uncountable Family of Nonisomorphic Markov Random Elds Which Are K but Not

A family of nonisomorphic Markov random fields

It was recently shown that there exists a family Z2 Markov random fields which are K but are not isomorphic to Bernoulli shifts [4]. In this paper we show that most distinct members of this family are not isomorphic. This implies that there is a two parameter family of Z2 Markov random fields of the same entropy, no two of which are isomorphic.

A family of nonisomorphic Markov random fields

Propp-Wilson Algorithms And Finitary Codings For High Noise Markov Random Fields

In this paper, we combine two previous works, the rst being by the rst author and K. Nelander, and the second by J. van den Berg and the second author, to show (1) that one can carry out a Propp{Wilson exact simulation for all Markov random elds on Z d satisfying a certain high noise assumption, and (2) that all such random elds are a nitary image of a nite state i.i.d. process. (2) is a streng...

Cluster-Based Image Segmentation Using Fuzzy Markov Random Field

Image segmentation is an important task in image processing and computer vision which attract many researchers attention. There are a couple of information sets pixels in an image: statistical and structural information which refer to the feature value of pixel data and local correlation of pixel data, respectively. Markov random field (MRF) is a tool for modeling statistical and structural inf...

Nonseparable Uhf Algebras Ii: Classification

For every uncountable cardinal κ there are 2 nonisomorphic simple AF algebras of density character κ and 2 nonisomorphic hyperfinite II1 factors of density character κ. These estimates are maximal possible. All C*-algebras that we construct have the same Elliott invariant and Cuntz semigroup as the CAR algebra.