Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space
From MaRDI portal
Publication:5415946
DOI10.1017/etds.2012.144zbMath1372.37093arXiv1111.5664OpenAlexW2963273152MaRDI QIDQ5415946
Publication date: 19 May 2014
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.5664
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (24)
Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism ⋮ Arithmetic degrees and dynamical degrees of endomorphisms on surfaces ⋮ The Artin-Mazur zeta function of a dynamically affine rational map in positive characteristic ⋮ On the arithmetic of translated monomial maps ⋮ The dynamical and arithmetical degrees for eigensystems of rational self-maps ⋮ Dynamical degree and arithmetic degree of endomorphisms on product varieties ⋮ Survey lecture on arithmetic dynamics ⋮ Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties ⋮ Unnamed Item ⋮ On the complex dynamics of birational surface maps defined over number fields ⋮ Three approaches to detecting discrete integrability ⋮ Arithmetic and dynamical degrees on abelian varieties ⋮ Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties ⋮ Dynamical and arithmetic degrees for random iterations of maps on projective space ⋮ Dynamical height growth: left, right, and total orbits ⋮ A rational map with infinitely many points of distinct arithmetic degrees ⋮ Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties ⋮ Ample canonical heights for endomorphisms on projective varieties ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ Dynamical invariants of monomial correspondences ⋮ Canonical heights and monomial maps: on effective lower bounds for points with dense orbit ⋮ Current trends and open problems in arithmetic dynamics ⋮ On the arithmetic dynamics of monomial maps ⋮ Arithmetic exponents in piecewise-affine planar maps
Cites Work
- Unnamed Item
- Unnamed Item
- Entropy for endomorphisms of LCA groups
- Algebraic stability and degree growth of monomial maps
- Dynamical compactifications of \(\mathbb{C}^2\)
- Stabilization of monomial maps
- An upper bound for the topological entropy of a rational mapping
- Algebraic degrees for iterates of meromorphic self-maps of \(\mathbb P^k\)
- Degree complexity of a family of birational maps
- Degree growth of matrix inversion: birational maps of symmetric, cyclic matrices
- Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
- Degree complexity of a family of birational maps. II: Exceptional cases
- Entropy on discrete Abelian groups
- Entropy of automorphisms on l.c.a. groups
- Rational points on K3 surfaces: A new canonical height
- Geometric and arithmetic properties of the Hénon map
- On the dynamics of a class of quadratic polynomial automorphisms of \(\mathbb{C}^3\)
- Green's functions for irregular quadratic polynomial automorphisms of \({\mathbb{C}}^3\)
- On the degree growth of birational mappings in higher dimension
- Algebraic entropy
- Topological entropy and Arnold complexity for two-dimensional mappings
- Existence of non-preperiodic algebraic points for a rational self-map of infinite order
- Degree growth of meromorphic surface maps
- Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
- Canonical height functions for affine plane automorphisms
- Quadratic polynomial automorphisms of dynamical degree golden ratio of [open face C3]
- Dynamics of bimeromorphic maps of surfaces
- Arithmetical Method to Detect Integrability in Maps
- A combinatorial model for reversible rational maps over finite fields
- Eigenvaluations
- Linear recurrences in the degree sequences of monomial mappings
- The Arithmetic of Elliptic Curves
- Algebraic entropy for Abelian groups
- How to detect the integrability of discrete systems
- Dynamics of complexity of intersections
- Value distribution for sequences of rational mappings and complex dynamics
- Sur la dynamique arithmétique des automorphismes de l’espace affine
- Diophantine integrability
- Diophantine non-integrability of a third-order recurrence with the Laurent property
- On the complexity of some birational transformations
- Signature of time-reversal symmetry in polynomial automorphisms over finite fields
This page was built for publication: Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space