Dynamics on Berkovich spaces in low dimensions

Abstract

These are expanded lecture notes for the summer school on Berkovich spaces that took place at the Institut de Mathématiques de Jussieu, Paris in 2010. They serve to illustrate some techniques and results from the dynamics on low-dimensional Berkovich spaces and to exhibit the structure of these spaces.

This version is very close to the one that will appear in "Berkovich Spaces and Applications", Lecture Notes in Mathematics, 2119, Springer

References in corpus (7)

• Mean-field solar dynamo models with strong meridional flow at the bottom of the convection zone
• A non-archimedean Montel's theorem
• Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics
• Dynamics of meromorphic maps with small topological degree II: Energy and invariant measure
• The Jacobian cocycle and equidistribution towards the Green current
• Sur la structure des ensembles de Fatou p-adiques
• Puiseux series dynamics of Quadratic rational maps

Cited by in corpus (5)

• How to determine the sign of a valuation on C[x,y]?
• Intersection of valuation rings in $k[x,y]$
• Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry
• Rational surface maps with invariant meromorphic two forms
• Degenerations of amoebae and Berkovich spaces