Let f ： M → M be a C^1＋α diffeomorphism on a smooth compact Riemannian manifold M and A be a Pesin set associated with the ergodic hyperbolic measure μ. Then f ： A → A forms a non-uniformly hyperbolic system. W...Let f ： M → M be a C^1＋α diffeomorphism on a smooth compact Riemannian manifold M and A be a Pesin set associated with the ergodic hyperbolic measure μ. Then f ： A → A forms a non-uniformly hyperbolic system. We concern with the distribution of the periodic orbits whose time averages are apart from the space average of μ. Finally, we derive a large deviation result for these periodic orbits with open deviation property.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11226155 and 11471344)
文摘Let f ： M → M be a C^1＋α diffeomorphism on a smooth compact Riemannian manifold M and A be a Pesin set associated with the ergodic hyperbolic measure μ. Then f ： A → A forms a non-uniformly hyperbolic system. We concern with the distribution of the periodic orbits whose time averages are apart from the space average of μ. Finally, we derive a large deviation result for these periodic orbits with open deviation property.
基金This research is supported by National Natural Science Foundation of China(NNSFC)(Grant No.11771400 and No.11601485)Science Foundation of Zhejiang Sci-Tech University(ZSTU)(Grant No.16062023-Y)。
