Shaobo Gan

activity

20082022

most citedExpansive homoclinic classes

44 citations · 84 across the 20 of their papers we have counts for

collaborators

Showing 2015 · math.DSShow all

2 papers · 2 filters

math.DS2015★ 3 cited

Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes

Cheng Cheng, Sylvain Crovisier, Shaobo Gan +2

We prove that, for $C^{1}$ -generic diffeomorphisms, if a homoclinic class is not hyperbolic, then there is a non-hyperbolic ergodic measure supported on it. This proves a conjecture…

math.DS2015

Transitivity of conservative diffeomorphisms isotopic to Anosov on $T^{3}$

Martin Andersson, Shaobo Gan

We prove transitivity for volume preserving $C^{1 +}$ diffeomorphisms on $T^{3}$ which are isotopic to a linear Anosov automorphism along a path of weakly partially hyperboli…

Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes

Transitivity of conservative diffeomorphisms isotopic to Anosov on T3

Transitivity of conservative diffeomorphisms isotopic to Anosov on $T^{3}$