ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY
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Publication:3620095
DOI10.1142/S0219887808003375zbMath1198.37016OpenAlexW2150898678MaRDI QIDQ3620095
Publication date: 14 April 2009
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887808003375
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Cites Work
- Unnamed Item
- Periodicities in linear fractional recurrences: degree growth of birational surface maps
- Volume growth and entropy
- Entropy of polynomial and rational maps
- Growth and integrability in the dynamics of mappings
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- Integrable lattice equations and their growth properties
- Singularity, complexity, and quasi-integrability of rational mappings
- Algebraic entropy
- The discrete Korteweg-de Vries equation
- Algebraic entropy of birational maps with invariant curves
- Solvable chaos
- Dynamics of bimeromorphic maps of surfaces
- Searching for CAC-maps
- Dynamics of complexity of intersections
- The lattice Gel'fand-Dikii hierarchy
- Discrete versions of the Painlevé equations
- Do integrable mappings have the Painlevé property?
- Ergodic theory of chaos and strange attractors
- Diophantine integrability
- On the complexity of some birational transformations
- Signature of time-reversal symmetry in polynomial automorphisms over finite fields
- Discrete dynamical systems associated with root systems of indefinite type
- Entropy and the canonical height
