DIMENSION AND ENTROPY OF A NONERGODIC MARKOVIAN PROCESS AND ITS RELATION TO RADEMACHER RIESZ PRODUCTS

Authors
BISBAS A KARANIKAS C
Citation
A. Bisbas et C. Karanikas, DIMENSION AND ENTROPY OF A NONERGODIC MARKOVIAN PROCESS AND ITS RELATION TO RADEMACHER RIESZ PRODUCTS, Monatshefte fuer Mathematik, 118(1-2), 1994, pp. 21-32
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Monatshefte fuer Mathematik → ACNP
ISSN journal
00269255
Volume
118
Issue
1-2
Year of publication
1994
Pages
21 - 32
Database
ISI
SICI code
0026-9255(1994)118:1-2<21:DAEOAN>2.0.ZU;2-P
Abstract
Given a Markov chain (not necessarily stationary or homogeneous) with finite state space and an initial distribution, we can construct a mea sure mu on the unit interval [0, 1]. In this work we examine the equal ity (up to a constant) of the Hausdorff dimension of mu and of a suita bly defined entropy for the Markovian process. The results are applied to the so-called Rademacher-Riesz Products.