39 citations · 73 across the 10 of their papers we have counts for
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math.DS2012★ 4 cited
Pseudo-rotations with sufficiently Liouvillean rotation number are C^0-rigid
Barney Bramham
It is an open question in smooth ergodic theory whether there exists a Hamiltonian disk map with zero topological entropy and (strong) mixing dynamics. Weak mixing has been known s…
math.DS2012★ 1 cited
Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves
Barney Bramham
We prove that every -smooth, area preserving diffeomorphism of the closed 2-disk having not more than one periodic point is the uniform limit of periodic -smoot…