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A two-person bargaining problem is considered. It is shown that under four axioms that describe the behavior of players there is a unique solution to such a problem. The axioms and the solution… (More)

It is shown that for any two Bernoulli schemes with a finite number of states and unequal entropies, there exists a finitary homomorphism from the scheme with larger entropy to the one with smaller… (More)

We investigate the size of the set of reals which can be represented in base y using only the digits 0,1,3. It is shown that this set has Lebesgue measure zero for y 2/5. Our main goal is to prove… (More)

From the absolute value of a martingale, X, there is a unique increasing process that can be subtracted so as to obtain a martingale, Y. Paul Levy discovered that if X is Brownian motion, B, then Y,… (More)

It is shown that irreducible finite state, Markov shifts of the same entropy and period arefinitarily isomorphic.

- Meir Smorodinsky
- 1971

Notation, symbols.- Examples.- Ergodic theorem.- Conditional probabilities and expectations. Doob's martingale theorem.- Entropy and conditional entropy.- Entropy of a Transformation.- The… (More)

Renewal systems are symbolic dynamical systems originally introduced by Adler. IfW is a finite set of words over a finite alphabetA, then the renewal system generated byW is the subshiftXW ⊂AZ formed… (More)

Abstract It is shown that if the continued fractions of the rationals 1 2 , 1 3 , 2 3 , 1 4 , 2 4 , 3 4 , 1 5 , 2 5 , 3 5 , 4 5 ,… are concatenated, a normal continued fraction is obtained.

Triviality of the two-sided tail field of a stationary process is not an invariant property under factorization ([4]). In this paper we give an example of a bilaterally deterministic process with… (More)