Yoel Drori (TAU )

will speak on

One dependence and two-block factors of Markov chains..

Abstract:

A discrete time stationary stochastic process (X_i) is called a two-block factor of (Y_i) if X_i = f(Y_i,Y_{i+1}) for some function f. A discrete time stochastic process (X_i) is called one-dependent if for any given time t, (X_i)_{i\le t-1} is independent of (X_i)_{i\ge t+1}. A {0,1}-valued and one-dependent stationary process is called special if the probability of three consecutive ones is zero. I'll talk about a proof saying that special processes are two-block factors of Markov chains.

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Last update on 20/10/02.