Diophantine approximation for algebraic numbers
Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
well-approximable numbers
Diophantine approximation
Liouville number
transcendental number theory
homogeneous dynamics orbit
Raghunathan's theorem
14241
A number is well approximable (WA) if the error when approximatin by p/q can be made small compared to the sqare of 1/q. Almost all reals are WA. For good reasons quadratic irrationals are not. Nothing is known for cubic irrationals. We show how this relates to special orbits in homogeneous dynamics.
Furstenberg. Notes
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14241
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