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Title: Birational maps with transcendental dynamical degree
Abstract We give examples of birational selfmaps of , whose dynamical degree is a transcendental number. This contradicts a conjecture by Bellon and Viallet. The proof uses a combination of techniques from algebraic dynamics and diophantine approximation.  more » « less
Award ID(s):
2246893 1900025 2154380
PAR ID:
10482013
Author(s) / Creator(s):
 ;  ;  ;  
Publisher / Repository:
Oxford University Press (OUP)
Date Published:
Journal Name:
Proceedings of the London Mathematical Society
Volume:
128
Issue:
1
ISSN:
0024-6115
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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