Benjamin Weiss (Hebrew U.)

will speak on

On a new characterization of the Shannon entropy

Abstract:

A function J from finite state ergodic processes to a metric space is said to be FINITELY OBSERVABLE if there is a sequence of functions g_n(x_1, x_2, ...,x_n) which for every ergodic process {X_i}, converges almost surely to J({X_i}). Such a FO function is an invariant of finitary isomorphism if and only if it is a continuous function of the Shannon entropy of the process.

(joint work with D. Ornstein)

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Last update on 20/10/02.