Algebraic, complex, and arithmetic dynamics Laura DeMarco, Mattias Jonsson, editors

Format:

Book

Author/Creator:

DeMarco, Laura

Contributor:

DeMarco, Laura, editor.

Jonsson, Mattias, editor.

Series:

Simons symposia 2365-9572

Simons Symposia 2365-9572

Language:

English

Subjects (All):

Dynamics.

Physical Description:

1 online resource

Place of Publication:

Cham Springer 2026

Summary:

This book is of a series of three Simons Symposia in 2019, 2022, and 2024, that focused on the interactions between three types of dynamics -- algebraic, complex, and arithmetic -- and their connections to the closely related areas of algebraic, complex, and arithmetic geometry. Dynamical systems play a key role both in pure mathematics and its applications. These meetings brought experts together from across these fields for discussions on the most significant recent developments and directions for further research

Contents:

Preface

Dynamical Degrees, Arithmetic Degrees, and Canonical Heights: History, Conjectures, and Future Direction

Recent Advances on Kawaguchi-Silverman Conjecture

Around the Dynamical Mordell-Lang Conjecture

Advances in the Equivariant Minimal Model Program and their Applications in Complex and Arithmetic Dynamics

Dynamics of Automorphism Groups of Projective Surfaces: Classification, Examples and Outlook

Questions About the Dynamics on a Natural Family of Affine Cubic Surfaces

Holomorphic Motions of Weighted Periodic Points

On Slice Measures of Green Currents on CP2

Hölder Estimates and Uniformity in Arithmetic Dynamics

Entire or Rational Maps with Integer Multipliers

Tischler Graphs of Critically Fixed Rational Maps and their Applications

Mirrors of Conformal Dynamics: Interplay Between Anti-Rational Maps, Reflection Groups, Schwarz Reflections, and Correspondences

On Boundedness of Zeroes of the Independence Polynomial of Tori

Notes:

Online resource; title from PDF title page (SpringerLink, viewed June 29, 2026)

ISBN:

9783032040480

3032040485

OCLC:

1601026779

Access Restriction:

Restricted for use by site license