Skip to main content
SpringerLink
Log in

Algebraic Entropy

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

For any discrete time dynamical system with a rational evolution, we define an entropy, which is a global index of complexity for the evolution map. We analyze its basic properties and its relations to the singularities and the irreversibility of the map. We indicate how it can be exactly calculated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Laboratoire de Physique Théorique et Hautes Energies, Unité Mixte de Recherche 7589, CNRS et¶Universités Paris VI et Paris VII, Paris, France, , , , , , FR

    M. P. Bellon & C.-M. Viallet

Authors
  1. M. P. Bellon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C.-M. Viallet
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 20 May 1998 / Accepted: 2 February 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bellon, M., Viallet, CM. Algebraic Entropy. Comm Math Phys 204, 425–437 (1999). https://doi.org/10.1007/s002200050652

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050652

Keywords

Search

Navigation