On the genesis of symbolic dynamics as we know it
Ethan M. Coven; Zbigniew H. Nitecki
Colloquium Mathematicae (2008)
- Volume: 110, Issue: 2, page 227-242
- ISSN: 0010-1354
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topEthan M. Coven, and Zbigniew H. Nitecki. "On the genesis of symbolic dynamics as we know it." Colloquium Mathematicae 110.2 (2008): 227-242. <http://eudml.org/doc/283408>.
@article{EthanM2008,
abstract = {We trace the beginning of symbolic dynamics-the study of the shift dynamical system-as it arose from the use of coding to study recurrence and transitivity of geodesics. It is our assertion that neither Hadamard's 1898 paper, nor the Morse-Hedlund papers of 1938 and 1940, which are normally cited as the first instances of symbolic dynamics, truly present the abstract point of view associated with the subject today. Based in part on the evidence of a 1941 letter from Hedlund to Morse, we place the beginning of symbolic dynamics in a paper published by Hedlund in 1944.},
author = {Ethan M. Coven, Zbigniew H. Nitecki},
journal = {Colloquium Mathematicae},
keywords = {symbolic dynamics; shift automorphism; recurrence; transitivity; minimal set; geodesics},
language = {eng},
number = {2},
pages = {227-242},
title = {On the genesis of symbolic dynamics as we know it},
url = {http://eudml.org/doc/283408},
volume = {110},
year = {2008},
}
TY - JOUR
AU - Ethan M. Coven
AU - Zbigniew H. Nitecki
TI - On the genesis of symbolic dynamics as we know it
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 2
SP - 227
EP - 242
AB - We trace the beginning of symbolic dynamics-the study of the shift dynamical system-as it arose from the use of coding to study recurrence and transitivity of geodesics. It is our assertion that neither Hadamard's 1898 paper, nor the Morse-Hedlund papers of 1938 and 1940, which are normally cited as the first instances of symbolic dynamics, truly present the abstract point of view associated with the subject today. Based in part on the evidence of a 1941 letter from Hedlund to Morse, we place the beginning of symbolic dynamics in a paper published by Hedlund in 1944.
LA - eng
KW - symbolic dynamics; shift automorphism; recurrence; transitivity; minimal set; geodesics
UR - http://eudml.org/doc/283408
ER -
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