Algebraic Entropy

被引：0
|
作者：
M. P. Bellon
C.-M. Viallet
机构：
[1] Laboratoire de Physique Théorique et Hautes Energies,
[2] Unité Mixte de Recherche 7589,undefined
[3] CNRS et¶Universités Paris VI et Paris VII,undefined
[4] Paris,undefined
[5] France,undefined
[6] CERN,undefined
[7] Division TH,undefined
[8] CH-1211 Genéve 23,undefined
[9] Switzerland,undefined
来源：
Communications in Mathematical Physics | 1999年 / 204卷
关键词：
Entropy; Dynamical System; Basic Property; Discrete Time; Rational Evolution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：425 / 437
页数：12
相关论文
共 50 条
  • [1] Algebraic entropy for algebraic maps
    Hone, A. N. W.
    Ragnisco, Orlando
    Zullo, Federico
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (02)
  • [2] ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY
    Viallet, C. -M.
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2008, 5 (08) : 1373 - 1391
  • [3] Algebraic entropy
    Bellon, MP
    Viallet, CM
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 204 (02) : 425 - 437
  • [4] Intrinsic algebraic entropy
    Dikranjan, Dikran
    Giordano Bruno, Anna
    Salce, Luigi
    Virili, Simone
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (07) : 2933 - 2961
  • [5] Adjoint algebraic entropy
    Dikranjan, Dikran
    Giordano Bruno, Anna
    Salce, Luigi
    [J]. JOURNAL OF ALGEBRA, 2010, 324 (03) : 442 - 463
  • [6] Algebraic topological entropy
    [J]. 1990, Publ by Akademie-Verlag Berlin, Berlin, Ger
  • [7] A soft introduction to algebraic entropy
    Anna Giordano Bruno
    Luigi Salce
    [J]. Arabian Journal of Mathematics, 2012, 1 (1) : 69 - 87
  • [8] ENTROPY DENSITIES FOR ALGEBRAIC STATES
    HIAI, F
    PETZ, D
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 125 (01) : 287 - 308
  • [9] The algebraic entropy of classical mechanics
    McLachlan, RI
    Ryland, B
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (07) : 3071 - 3087
  • [10] A soft introduction to algebraic entropy
    Giordano Bruno, Anna
    Salce, Luigi
    [J]. ARABIAN JOURNAL OF MATHEMATICS, 2012, 1 (01) : 69 - 87
12345