Bicausal isomorphism of Bernoulli processes

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1977 English Publisher:Springer Science and Business Media LLCJournal:Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, volume 37, pages 183-189 (issn: 0044-3719, eissn: 1432-2064,

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Authors: Lloyd, Stuart P.;

doi: 10.1007/bf00537486

Bicausal isomorphism of Bernoulli processes

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Abstract

Using an idea of Adler and Weiss, automorphisms of Bernoulli processes are constructed where the mapping in one direction is causal with bounded memory and the inverse mapping is causal with memory which is finite w.p.l. Nontrivial such automorphisms exist only when the letter probability distribution has nontrivial symmetry, e.g., the 2-shift.

Related Organizations

Bell Labs
United States

Keywords

Communication theory, Foundations of stochastic processes

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