Acta Mathematica

Volume 225 (2020)

Number 2

A transcendental dynamical degree

Pages: 193 – 225



Jason P. Bell (Department of Pure Mathematics, University of Waterloo, Ontario, Canada)

Jeffrey Diller (Department of Mathematics, University of Notre Dame, Indiana, U.S.A.)

Mattias Jonsson (Department of Mathematics, University of Michigan, Ann Arbor, Mich., U.S.A.)


We give an example of a dominant rational self-map of the projective plane whose dynamical degree is a transcendental number.

2010 Mathematics Subject Classification

Primary 32H50. Secondary 11J81, 14E05, 37F10.

Received 14 November 2019

Received revised 29 November 2020

Accepted 21 December 2020

Published 21 January 2021