Bibliographic Details
| Title: |
A Volume Preserving Diffeomorphism with Essential Coexistence of Zero and Nonzero Lyapunov Exponents. |
| Authors: |
Hu, Huyi1 hu@math.msu.edu, Pesin, Yakov2 pesin@math.psu.edu, Talitskaya, Anna anjuta@math.northwestern.edu |
| Superior Title: |
Communications in Mathematical Physics. Apr2013, Vol. 319 Issue 2, p331-378. 48p. |
| Subject Terms: |
*DIFFEOMORPHISMS, *EXISTENCE theorems, *LYAPUNOV exponents, *RIEMANNIAN manifolds, *MATHEMATICAL analysis, *SET theory |
| Abstract: |
We show that there exists a C volume preserving topologically transitive diffeomorphism of a compact smooth Riemannian manifold which is ergodic (indeed is Bernoulli) on an open and dense subset $${\mathcal{G}}$$ of not full volume and has zero Lyapunov exponent on the complement of $${\mathcal{G}}$$ . [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |