Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes
2017 ◽
Vol 39
(7)
◽
pp. 1805-1823
◽
We prove that, for $C^{1}$-generic diffeomorphisms, if a homoclinic class is not hyperbolic, then there is a non-trivial non-hyperbolic ergodic measure supported on it. This proves a conjecture by Díaz and Gorodetski.
2009 ◽
Vol 29
(5)
◽
pp. 1479-1513
◽
Keyword(s):
2019 ◽
Vol 19
(5)
◽
pp. 1765-1792
◽
Keyword(s):
Keyword(s):
2012 ◽
Vol 34
(1)
◽
pp. 110-131
◽
2010 ◽
Vol 31
(5)
◽
pp. 1537-1562
◽
Keyword(s):
2014 ◽
Vol 98
(3)
◽
pp. 375-389
◽
Keyword(s):
2019 ◽
Vol 63
(1)
◽
pp. 217-228
2012 ◽
Vol 33
(3)
◽
pp. 739-776
◽
Keyword(s):
2007 ◽
Vol 27
(5)
◽
pp. 1473-1508
◽
Keyword(s):