Jon Aaronson (TAU)

will speak on

Restricted exchangeability on multidimensional subshifts.

Abstract:

Work in progress, joint with Hitoshi Nakada.

Let S be a finite set and let N be a countable set and let X be a subset X of S^N. One measure of "symmetry" of a probability on X is "exchangeability" (two points in X are related exchangeably if the coordinates of one are a finite permutation of the coordinates of the other). Other measures of symmetry are "Gibbs" properties. We compare these measures of symmetry, giving conditions for their coincidence when X is a certain kind of multidimensional, topological Markov chain.

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Last update on 20/10/04.