Arithmetic and Complex Dynamics

The goal of sage-dynamics is to improve the open source mathematical software Sage for computer exploration in dynamical systems and foster code sharing between researchers in this area. This portion focuses on the Arithmetic (Number Theoretic) and Complex aspects of dynamical systems.

News

• Sage Days Currently holding Sage Days 55 (November 7-10, 2013) at Florida Institute of Technology.

Past News

• January 30, 2012 - May 4, 2012 ICERM semeser program on Complex and Arithmetic Dynamics

How to participate and contribute

• sage-dynamics: Google group

  • anyone may subscribe by sending an e-mail to: sage-dynamics+subscribe at googlegroups dot com

Documentation and Tutorials

• Sage developer's guide

• sage-combinat has many excellent tutorials combinat docs

Road Map

The arithmetic and complex dynamics functionality in Sage is currently in its infancy. A significant amount of functionality was developped at the ICERM semester in Spring 2012 and now we have started the process of moving this into Sage through a series of patches (trac tickets). Most of that functionality is current in experimental for that been greatly expanded upon at Sage Days 55. Much remains to be done. Below you will find a road map of what has been implemented, what is in the process of being implemented, and ideas for future functionality.

• Trac #13130 Merged sage-5.8.beta3: Basic architecture changes : support for projective spaces over rings

• Trac #14217 Merged sage-5.10.beta3: Basic iteration functionality for projective and affine spaces - new directory structure in schemes

• Trac #14218 Merged sage-5.13.beta2: Height and canonical heights for points and morphisms

• Trac #14219 - Needs-Review: QQ-rational preperiodic algorithms