On the genesis of symbolic dynamics as we know it

• Autorzy: Ethan M. Coven , Zbigniew H. Nitecki
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 01A60: 20th century
• 37B10: Symbolic dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 2
• Strony: 227-242

Daty

wydano

2008

Twórcy

autor

Ethan M. Coven

• Department of Mathematics, Wesleyan University, Middletown, CT 06459, U.S.A.

autor

Zbigniew H. Nitecki

• Department of Mathematics, Tufts University, Medford, MA 02155, U.S.A.

Identyfikatory

DOI

10.4064/cm110-2-1