An exercise in experimental mathematics: calculation of the algebraic entropy of a map
DOI10.46298/ocnmp.11727MaRDI QIDQ6607428
Publication date: 18 September 2024
Published in: Open Communications in Nonlinear Mathematical Physics (Search for Journal in Brave)
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Entropy in general topology (54C70) Relationships between algebraic curves and integrable systems (14H70) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Integrable difference and lattice equations; integrability tests (39A36)
Cites Work
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- On the coprimeness property of discrete systems without the irreducibility condition
- Volume growth and entropy
- Entropy of polynomial and rational maps
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- On the degree growth of birational mappings in higher dimension
- Algebraic entropy
- On the entropy of holomorphic maps
- Dynamics on blowups of the projective plane
- Laurent polynomials and superintegrable maps
- Dynamics of bimeromorphic maps of surfaces
- Algebraic entropy and the space of initial values for discrete dynamical systems
- Geometric aspects of Painlevé equations
- Dynamics of complexity of intersections
- Value distribution for sequences of rational mappings and complex dynamics
- How to generate as many Somos-like miracles as you wish†
- Space of initial conditions and geometry of two 4-dimensional discrete Painlevé equations
- Classification of variational multiplicative fourth-order difference equations
- On the algebraic structure of rational discrete dynamical systems
- Degree-growth of monomial maps
- Discrete dynamical systems associated with root systems of indefinite type
- Growth and integrability of some birational maps in dimension three
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