TY - JOUR
T1 - Entropy in uniformly quasiregular dynamics
AU - Kangasniemi, Ilmari
AU - Okuyama, Yusuke
AU - Pankka, Pekka
AU - Sahlsten, Tuomas
PY - 2021/8
Y1 - 2021/8
N2 - Let M be a closed, oriented, and connected Riemannian n-manifold, for n >= 2, which is not a rational homology sphere. We show that, for a non-constant and non-injective uniformly quasiregular self-map f : M -> M, the topological entropy h(f) is log deg f . This proves Shub's entropy conjecture in this case.
AB - Let M be a closed, oriented, and connected Riemannian n-manifold, for n >= 2, which is not a rational homology sphere. We show that, for a non-constant and non-injective uniformly quasiregular self-map f : M -> M, the topological entropy h(f) is log deg f . This proves Shub's entropy conjecture in this case.
UR - https://www.research.manchester.ac.uk/portal/en/publications/entropy-in-uniformly-quasiregular-dynamics(bdef92ba-bd40-4efa-9f91-417e1bdfc7a1).html
U2 - 10.1017/etds.2020.51
DO - 10.1017/etds.2020.51
M3 - Article
VL - 41
SP - 2397
EP - 2427
JO - ERGODIC THEORY AND DYNAMICAL SYSTEMS
JF - ERGODIC THEORY AND DYNAMICAL SYSTEMS
SN - 0143-3857
IS - 8
ER -